design of single column bents for 2-span box girder · pdf filebridge design aids august 1989...

BRIDGE DESIGN AIDS AUGUST 1989 13-1

DESIGN OF SINGLE COLUMN BENTS FOR 2-SPAN BOX GIRDER BRIDGES

Single column two-span prestressed box girder bridge columns which meet the following requireshyments should be designed using the attached charts Ifthese requirements are met it is not necessary to perform a STRUBAG STRUDL SEISAB or simplified analysis to determine the column reinforceshyment The designer is cautioned to review the limitations to assure that the charts apply Column sizes may be approximately round with a cross-sectional area of 20 sq ft (5 ft dia) or 28 sq ft (6ft dia) Intermediate cross-sectional areas may be used by interpolating between the two charts Columns may be prismatic or non prismatic with a single diameter spiral core

Limitations

Depth to span ratio 0035 to 0045 Column height 18 to 26 feet clear Column area at base 20 to 28 sq ft(5 to 6ft dia) Span length 100 to 240 feet Maximum skew 35 degrees Maximum unbalance in spans 20 Minimum radius ofcenterline 1000 ft Bridge width 32 to 46 feet Column end conditions flXed top and bonom Column concrete = 3250 psi Column reinforcement =60000 psi

1Column must be centered under cap

After the column reinforcement has been determined from the charts run the YIELD program in check mode for Group I loads only Column shear reinforcement shall be determined from the plastic load case The footing is then designed for only the Group I and plastic load cases

An example problem showing the design of a typical singlemiddotcolumn bent is attached

Discussion

The load conditions which governed the design of the columns were P-loads and seismic

Seismic loads generally governed the 6 foot diameter column designs except the P-loads governed the design ofnarrow width structures in the 05 - 06g seismic level

The design of the 5 foot diameter column was generally governed by P-loads except for the narrow structures which were governed by seismic loads Note that the 5 foot diameter column generally requires a much larger percentage of steel than the equivalent 6 foot diameter column The use of the 5 foot diameter column should be restricted to narrow structures in the low span length range

-BRIDGE DESIGN AIDS AUGUST 1989 13-2

Standard abuonent and ~gwall details are assumed (refer to applicable drawings) It is assumed that under the maximum credible earthquake the abutments will be damaged and undergo some moveshyments In these charts the abuonents were considered released in the transverse direction and soil suppon assumed in the longitudinal direction therefore it is imponant that standard abuonent heights and berms be used to preclude a collapse condition middot

Abuonent seat and key sizes shall be determined as outlined in Memo to Designers Section 5

It is hoped that this series ofcharts will be expanded to include other common bridge configurations Please direct any comments or suggestions to J Gates in the SASA section

BRIDGE DESIGN AIDS AUGUST 1989 13middot3

Column Reinforcement for Prestressed Box Girders 2 Spans 1 Column Bent - 5 Diameter Column (20 Sq Ft)

43 Wld1h4 40

36

32

Peak RcxkAcoeleration 07g 1 I I I

100 110 120 130 140 150 160

4 43

40

36

32

Peak Rcxk Acoeleration bull 06g 1 I I I

100 110 120 130 140 150 160 43

4 40

i 3 36 lii c

~ 8 2 it

Peak Rcxk Acceleration bull 05g or less 1 I I I

100 110 120 130 140 150 160 Maximum Span (ft)

13-4 BRIDGE DESIGN AIDS AUGUST 1989


4 Widt h

46 40 ~ 3

c 36

~ 8 2

32

~ -

Peak Rock Acceleration bull 07g 1 I I

100 120 140 160 180 200 220 240

3 46

40

36

32

Peak Rock Acceleration bull OGg 0 I I

100 120 140 160 180 200 220 240

3 46

- -43

40

- fshy32

-

-Peak Rock Acceleration bull 05g or less

0 bullI I bull I I 100 120 140 160 180 200 220 240

Maximum Span (It)


2 Span - 1 Column Example ColumnFooting Design (using STD cbarts)

162 150 ~~

Oo6dia N

A Rock Acceleration z 06g

Verify Applicability of Chans

ITEM ALLOWANCE

0S 0035 - 0045

Column Clearance Height 18-26

Column Area 20-28 ft2

Maximum Span 100- 240

Span Unbalance 020

Width 32-46

Alignment 1000R

Skew 35bull

Determine Column Reinforcement from Chans

r

A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2

Column Area= 28 ft2

Select Bar and Number Approximate Spacing

11 tot 44 48

14 tot 30 68 +-use

18 tot 17 123

I 6dia

ACTUAL

0040

248

283 ft2

1620

008

355

Straight

obull

35k

OK

OK

OK

OK

OK

OK

OK

OK

I ~


Group Loads (Bottom of Column)

OL (From BOS) (Bot1om of Column) M (Trans) amp 0

1M(Long) a 57 k P(Axial) bull 1979 k

35 5Live Load Lanes on Bent = middot~ 3

middot = 267 use 2 lanes

BDS Output

LL No 1 (H Loads) Live Load Support Resuhs (1 Lane- LL + I)

Maximum Axial Load Maximum LongHudinal Moment

Moment Moment

Axial Load Top Bot1om Axial Load Top Bot1om

Support Jt 1

PosHive 802 00 00 00 00 00

Negative middot58 00 00 00 00 00

Member3

PosHive 1793 1320 middot660 948 12410 middot6200

Negative 00 00 00 878 -10920 5460

Support Jt 3

PosHive n9 00 00 00 00 00

Negative -77 00 00 00 00 00

LL No 4 (P Loads) Live Load Support Resuhs (1 Lane- LL +I)


Moment Moment


Support Jt 1

Positive 2220 00 00 00 00 00


Member3

PosHive 3481 3400 -1700 2602 36920 -18460

Negative 00 00 00 2505 -33190 16600

Support Jt 3

PosHive 2145 00 00 00 00 00

Negative -77 00 00 00 00 00


Live Loads

16

12 12

r-1 10 1 10

Curtgt

f

H Loads - Case 1 (1 Lane)

H Loads - Case 2 (2 Lanes)

H Loads- Case 3 (2 Lanes)

P Loads- Case 1 (1P)

P Loads- Case 2

(1 P + 1H Lane)

P Loads- Case 3

2 6 2 6 I I I

+ + I t 4 2J J I I

8

14 f--~Column

Live Load Position on Cap

(Maximum Transverse)

(Maximum LongHudlnal)

(Maximum Axial)


(Maximum LongHudinal)

(Maximum Axial)

(Same as P Loads- Case 1 plus 1H Load)

M1bull1793(8 + 14)12 - 1972 k

M - 66 k p 179k-M

1 a 948(8 + 14 + 2 bull 4)12 - 948 k

M bull 620(2) - 1240 k p middot948(2) - 190 k

M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k

p - 1793(2) - 359 k

M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k

M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1

M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k

M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k

M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k

(Note These numbers may also be obtained from a BENT analysis run) )


Use YIElD program to

(a) Determine Column Shear Reinforcement (b) Generate Footing Loads

72 Diameter Column Chadlt Mode Generate Footing Loads

YIELD Input Out-Out Spiral bull 72 - 4 bull 68 (MS) (114)

Use 114 Tot 30 Loop Radius 6812- 0875- 187512 322 lf11)Cid 175 from BDS Clear Length bull 248

YIElD Output - Longitudinal Plastic Case Governs

Maximum Center-to-Center Spacing (Pitch) of Lateral

Case A CaseB CaseC Bar Size Confinement Applicable Shear Minimum Shear

4 2613 1290 7059

5 4042 1999 10941

6 5722 128381 15529

10bull Aggregate

Minimum Pitch Shear Strength

Minimum SpaCing -+ Bar Size (Inches) (kips)

4 2000 913

5 2125 1168

6 I22So I 1444

i i Note Always use 1 Aggregate Use M6 2~bullmiddot Pitch

J

Footing- Use loads from YIELD wnh FOOT program


COLUMN INTERACfiON GRAPHS FOR STANDARD ARCIUTECIURAL SIZES

Column Type Pages

Round- 4fl 5-6fl and 7fl l3-11

Octagonal- 4fl 5-6fl and 7fl 13-14

Hexagonal - 4fl 5-6fl and 7~ bull 13-17

Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52

Thegraphs may be used to determine the nominal strength ofcolumn as required to design substructures and foundations by the load factor design procedure

Assumptions

bull Specified Concrete Compressive Strength f =3250 psi bull Specified Yield Strength ofReinforcement f =600 ksi

7

Blank JPgtage ( 13-1 0)

BRIDGE DESIGN AIDS AUGUST 1989 13-11 middot

PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000

MN - NOMINRL MOMENT KIP-FT

A =126 ft2

I = 126 ft4 lz =251 ft4

z =Local member longitudinal axis

I


Moin Relnt PN VS MN Main Relnf

olgtle ri119 (outor1 or)

C sect~~~--~--~---+-~~r+r-+--r-~ lf-~8 i~~--~--~-+~~~~~~~--~ -sect

sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000

MN - NOMINAL MOMENT KIP-FT

A bull 238112

I bull 449 It I e 898


PN VS MN

Moin RtlnfMain Relnf

Double middotRi (outerInner

2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_

0 1000 2000 3000 4000 5000 6000 MN - NOMINRL MOMENT KIP-FT

A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot

~~-----------~~~middotn~vTie~R=in~v----~----~Ooo==bTio~R=in~v~--~--------

Double Rin9 (OuterI ner l

~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1

0 3000 6000 9000 12000 15000 18000 MN - NOMINAL MOMENT KIP-FT

A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I

~ Single RinQ Double Ring ~------~------~------~------~-----=M-------~

8 Double Ro 9 (Outer Inner)

~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000


A bull 406 ft2 R 1314 It

1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l

0 1200 2100 3600 1800 6000 7200 MN - NOni NRL MOnENT KIPmiddotFT

A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L

Doublbull Rl~g(oulerinner)

lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000

Mil - 1011NAL not1ENT KIP-fT

A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _

Double Ri 9 (outerinner)

-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I

Double R1ng (outinner)

~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112

I e 213 ft4 middot =427 ft4


PN VS liN

Double Ri (outerinner

sect r ~-------4--------~--------4--------4---------+---------l

0 -1000 8000 12000 16000 20000 24000 MN - NOMINRL MOMENT KIP-FT

A a 303 ft2

I a 763 ft I bull 1525 It


PN VS MN

8 L=_---i_r---middots Spiror---1L~=j-_ ~T---~S~in~9~le~Ri~n~9--~-------T--------r--~O~ou~b~le~Ri~n~9------~

Double Rin (outerinner

0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types

4-0 X 6-0 5middot6 X 8middot3

7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o

MNY VS MNX PO bull 9948 K

p bull101

~~~----~~~----~~----~~~~~~~~--+-------1 ~ ~ ig r--shy~~~---k-----J-gt--41--lr--l---ll---ll----l

0 1000 2000 3000 4000 5000 6000 MNX - NOMINAL MCM~NT KiP-FT

A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0

MNY VS MNX PO bull 9946 Ilt

4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1

0 1000 2000 3000 lt1000 5000 6000 MNX - NOMINAL MOMENT KIP-fT


MNY VS MNX PO bull 10131 K dbull2102

-+---~~d-y393 Mn

1

~t===~~~~-~----r--~plbullil_2_9_~_ ls~omiddotmiddot_~_4_~_o_middot_

~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k

middot Pnbull 2500 ~~ ~middot~--~~~~~~~--~---4 E

i i~~~~~~~~~~~--~

1200 2100 3600 1800 7200 MNX- NOMINAL MOMENT KJP-fT

A bull 206112

I bull 232 It 1 bull 491 It 1 - 724 It


MNY VS MNX PO ~ 1043lt1 K

3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200

MNX - NOMINAL MOMENT KIP-FT


c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112

MNX - NOM INRL MOI1EIIT K I P-FT1 bull 232 ft4 1 bull491 ft41I bull 72411

--


MNY VS MNX PO = 10769 K

4-011X 6-011

28 - I

8 ~ ---~ --shy

4000k----~~ Pn Po bull 4 500k ---~~~ ~ Po bull 50C p k

PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0

0 1200 2400 3600 4800 6000 7200 MNX - NOMINAL MOMENT KIP-FT


y

MNY VS MNX dx = 1933 PO 11331 K

~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000

MNX - NOMINAL MOMENT KJPmiddotFT

A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000

MNX - NOM1NRL MOMENT KIP-FT


MNY VS MNX PO= 11705K

p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500

MNX - NOMINAL MOMENT 6000

KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y

MNY VS MNX PO e 12738 K

~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000

MNX - NOMINAL MOMENT KIP-FT A c 206 ft2 I a 232 fl I 491 ItD

I = 724 It



4- omiddotx smiddot-omiddot 34~14

t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000

1t1X - NC111Nil IOMENT KIP-FT


y

MNY VS MNX PO 13548 K

sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000

MNX - NOMI NAL MOM ENT KIP-FT

A =206 112

1 e 23211 11 11

bull 491 It a 724ft



4-o x smiddot-o~ 4014

sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000

MNX - NOMI NAL MOMENT KIP-FT


y

26~8MNY VS MNX PO ~ li38B K

Pn =3000k

___ Pn =2oook~~----~ shy ~---tPn =1500k -lt--~Pn IOOOk ~~ ~ ~------~--------~~~~~~~~~~------~------~

0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000

MNX - NOMINAL MOMENT KIP-FT A bull 206112

I bull 232 ttlt ly 491 ttlt I 724 ttltD

5


MNY VS MNX PO bull 143BB K

4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918

MNY VS MNX dybull 22 25 PO bull 16760 K

5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000

tiHX - NOtiNil t101poundNT KIP-fT A bull 369112

I bull 831 ft4 1 bull 1756 ttbull 1 bull 2587 ft4



5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000

MNX - NOMINAL MOMENT KlP-FT


4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~

0 3000 6000 9000 12000 15000 18000 MNX - NOMINRL MOMENT KIP-FT

A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It



s~smiddot x a-3 sect 44 -11

~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000

A = 389 ft2 MNX - NOMINAL MOMENT KIP-FT 1 -831 ft 11

= 1756 ft 1 - 2587 ft


MNY VS MNX PO bull 2046i K

5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000

NNX - NOMINAL MOMENT KIP-FT


MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000

A ~ 389112 MNX - NOMINAL MOMENT KIP-FT

I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk

Pn= aoook~ --~ Pn bull 9000~~ ~ Pn= 10book~1~ [ ~ Pn bull 11oook

1PnbullI2P00 1

~

~~ sect

1

0

0 ~000 8000 12000 16000 20000 21000 MNX - NOMINAL MOMENT KJP-FT


y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1

0 4000 8000 12fl00 MNX - NOMINAL MOMENT

16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000

MNX - NOMINAL MOMENT KP-FT


y

dx = 2906 MNY VS MNX

PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~

0 1000 8000 12000 16000 20000 21000 A = 389 ft2 MNX - NOMINAL MOMENT KIP- FT

I s 831 ft ly = 1756 ft I bull 2587 ft



5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000

MNX - NOMINAL MOMENT KIP- FT


y

HNY VS HNX PO ~ 3038i K

5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~

0 6000 12000 18000 MNX - NOMINAL MOMENT

2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I

0 6000 12000 I 8000 24000 30000 36000 11NX - NOI11NRL nonENT KIP- FT


d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000

A bull 630112 MNX - NOMINAL MOMENT KIP-fT

I bull 2179 ft 1 bull 4608 ft I 1

bull 6787 ft

---


MNY VS MNX PO bull 31507 K 7- Ox 10- 6

70- 11

--~ Pn =12000~

~ I~ Pnbulll4000k ------~ ~ ~-_ ~ Pn bull 16000 k

1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0

0 6000 12000 18000 2i000 30000 36000 MNX - NOMINAL MOMENT KIP-FT


MNY VS MNX yPO bull 33055 K

d bull bull 3728

~~~~~~~~----~--+---~tt bull r--shy0- 1-shyz ~nr--=-~~~~~~~---+----~--~

A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----


MNY VS MNX PO = 33055 K 1 middot- o x 10-s bullbull 60- ~~14

~ ----~ Pnbulll2000k -~ Pn bull14 000k

----~ - ~ Pn bull 16000k

Pn bullIampOook~~ Pnbull20000k 1-

y ~ ~~

~

~

s 0

0 6000 16000 2i000 32000 MNX - NOMINAL MOMENT KIP-FT

iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112

middot bull 2179 It r ~ 4608 It I 6787 ItB


MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000

1 Pn 18000bull~ Pn bull2ooook[1

1 ~~

T I i

I

0



y


~--

pbull 203 70x 10 6 bull ~ t---shy~~--~~~~~~~~~-+-------middot------~ -------

sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000

MNX - NOMINAL MOMENT KIP-fT

A = 630 ft2

I = 2179 ft 1 bull 4608 ttbull 1 = 6787 ft


MNY VS MNX PO ~ 35995 K 1-o x 10- s

46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000

MNX - NOMINAL MOMENT KIPmiddotFT


y

MNY VS MNX PO a 36395 K

~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000

MNX - NOMINAL MOMENT KIP-FT A a 630 ft2

11

a 2179 ft 1 a 4608 ft1 I bull 6787 It


HNY VS HNX PO bull 38395 K 7-o x 10-6 bull

56- -~~ 18

--~ PnbullI2000deg -~~- Pn bull14000k-~~ PnbullI6000k~~ Pn bull IBOOOk ~lt~~ ~-~r Pnbull zooook

~

~~

0

o eooo 16000 24000 J200D 40000 48000 1t1X - 101JtR IIOIpoundNT KIP-A

-BRIDGE DESIGN AIDS AUGUST 1989 13-2

Standard abuonent and ~gwall details are assumed (refer to applicable drawings) It is assumed that under the maximum credible earthquake the abutments will be damaged and undergo some moveshyments In these charts the abuonents were considered released in the transverse direction and soil suppon assumed in the longitudinal direction therefore it is imponant that standard abuonent heights and berms be used to preclude a collapse condition middot

Abuonent seat and key sizes shall be determined as outlined in Memo to Designers Section 5

It is hoped that this series ofcharts will be expanded to include other common bridge configurations Please direct any comments or suggestions to J Gates in the SASA section



43 Wld1h4 40

36

32


100 110 120 130 140 150 160

4 43

40

36

32


100 110 120 130 140 150 160 43

4 40

i 3 36 lii c

~ 8 2 it


100 110 120 130 140 150 160 Maximum Span (ft)



4 Widt h

46 40 ~ 3

c 36

~ 8 2

32

~ -


100 120 140 160 180 200 220 240

3 46

40

36

32


100 120 140 160 180 200 220 240

3 46

- -43

40

- fshy32

-


0 bullI I bull I I 100 120 140 160 180 200 220 240

Maximum Span (It)



162 150 ~~

Oo6dia N



ITEM ALLOWANCE

0S 0035 - 0045




Span Unbalance 020

Width 32-46

Alignment 1000R

Skew 35bull


r

A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2

Column Area= 28 ft2


11 tot 44 48

14 tot 30 68 +-use

18 tot 17 123

I 6dia

ACTUAL

0040

248

283 ft2

1620

008

355

Straight

obull

35k

OK

OK

OK

OK

OK

OK

OK

OK

I ~







BDS Output



Moment Moment


Support Jt 1

PosHive 802 00 00 00 00 00


Member3


Negative 00 00 00 878 -10920 5460

Support Jt 3

PosHive n9 00 00 00 00 00

Negative -77 00 00 00 00 00



Moment Moment


Support Jt 1

Positive 2220 00 00 00 00 00


Member3

PosHive 3481 3400 -1700 2602 36920 -18460

Negative 00 00 00 2505 -33190 16600

Support Jt 3

PosHive 2145 00 00 00 00 00

Negative -77 00 00 00 00 00


Live Loads

16

12 12

r-1 10 1 10

Curtgt

f





P Loads- Case 2

(1 P + 1H Lane)

P Loads- Case 3

2 6 2 6 I I I

+ + I t 4 2J J I I

8

14 f--~Column




(Maximum Axial)



(Maximum Axial)


M1bull1793(8 + 14)12 - 1972 k

M - 66 k p 179k-M

1 a 948(8 + 14 + 2 bull 4)12 - 948 k

M bull 620(2) - 1240 k p middot948(2) - 190 k

M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k

p - 1793(2) - 359 k

M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k

M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1

M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k

M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k

M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k











4 2613 1290 7059

5 4042 1999 10941

6 5722 128381 15529

10bull Aggregate



4 2000 913

5 2125 1168

6 I22So I 1444


J




Column Type Pages




Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52


Assumptions


7



PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




43 Wld1h4 40

36

32


100 110 120 130 140 150 160

4 43

40

36

32


100 110 120 130 140 150 160 43

4 40

i 3 36 lii c

~ 8 2 it


100 110 120 130 140 150 160 Maximum Span (ft)



4 Widt h

46 40 ~ 3

c 36

~ 8 2

32

~ -


100 120 140 160 180 200 220 240

3 46

40

36

32


100 120 140 160 180 200 220 240

3 46

- -43

40

- fshy32

-


0 bullI I bull I I 100 120 140 160 180 200 220 240

Maximum Span (It)



162 150 ~~

Oo6dia N



ITEM ALLOWANCE

0S 0035 - 0045




Span Unbalance 020

Width 32-46

Alignment 1000R

Skew 35bull


r

A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2

Column Area= 28 ft2


11 tot 44 48

14 tot 30 68 +-use

18 tot 17 123

I 6dia

ACTUAL

0040

248

283 ft2

1620

008

355

Straight

obull

35k

OK

OK

OK

OK

OK

OK

OK

OK

I ~







BDS Output



Moment Moment


Support Jt 1

PosHive 802 00 00 00 00 00


Member3


Negative 00 00 00 878 -10920 5460

Support Jt 3

PosHive n9 00 00 00 00 00

Negative -77 00 00 00 00 00



Moment Moment


Support Jt 1

Positive 2220 00 00 00 00 00


Member3

PosHive 3481 3400 -1700 2602 36920 -18460

Negative 00 00 00 2505 -33190 16600

Support Jt 3

PosHive 2145 00 00 00 00 00

Negative -77 00 00 00 00 00


Live Loads

16

12 12

r-1 10 1 10

Curtgt

f





P Loads- Case 2

(1 P + 1H Lane)

P Loads- Case 3

2 6 2 6 I I I

+ + I t 4 2J J I I

8

14 f--~Column




(Maximum Axial)



(Maximum Axial)


M1bull1793(8 + 14)12 - 1972 k

M - 66 k p 179k-M

1 a 948(8 + 14 + 2 bull 4)12 - 948 k

M bull 620(2) - 1240 k p middot948(2) - 190 k

M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k

p - 1793(2) - 359 k

M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k

M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1

M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k

M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k

M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k











4 2613 1290 7059

5 4042 1999 10941

6 5722 128381 15529

10bull Aggregate



4 2000 913

5 2125 1168

6 I22So I 1444


J




Column Type Pages




Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52


Assumptions


7



PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




4 Widt h

46 40 ~ 3

c 36

~ 8 2

32

~ -


100 120 140 160 180 200 220 240

3 46

40

36

32


100 120 140 160 180 200 220 240

3 46

- -43

40

- fshy32

-


0 bullI I bull I I 100 120 140 160 180 200 220 240

Maximum Span (It)



162 150 ~~

Oo6dia N



ITEM ALLOWANCE

0S 0035 - 0045




Span Unbalance 020

Width 32-46

Alignment 1000R

Skew 35bull


r

A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2

Column Area= 28 ft2


11 tot 44 48

14 tot 30 68 +-use

18 tot 17 123

I 6dia

ACTUAL

0040

248

283 ft2

1620

008

355

Straight

obull

35k

OK

OK

OK

OK

OK

OK

OK

OK

I ~







BDS Output



Moment Moment


Support Jt 1

PosHive 802 00 00 00 00 00


Member3


Negative 00 00 00 878 -10920 5460

Support Jt 3

PosHive n9 00 00 00 00 00

Negative -77 00 00 00 00 00



Moment Moment


Support Jt 1

Positive 2220 00 00 00 00 00


Member3

PosHive 3481 3400 -1700 2602 36920 -18460

Negative 00 00 00 2505 -33190 16600

Support Jt 3

PosHive 2145 00 00 00 00 00

Negative -77 00 00 00 00 00


Live Loads

16

12 12

r-1 10 1 10

Curtgt

f





P Loads- Case 2

(1 P + 1H Lane)

P Loads- Case 3

2 6 2 6 I I I

+ + I t 4 2J J I I

8

14 f--~Column




(Maximum Axial)



(Maximum Axial)


M1bull1793(8 + 14)12 - 1972 k

M - 66 k p 179k-M

1 a 948(8 + 14 + 2 bull 4)12 - 948 k

M bull 620(2) - 1240 k p middot948(2) - 190 k

M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k

p - 1793(2) - 359 k

M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k

M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1

M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k

M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k

M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k











4 2613 1290 7059

5 4042 1999 10941

6 5722 128381 15529

10bull Aggregate



4 2000 913

5 2125 1168

6 I22So I 1444


J




Column Type Pages




Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52


Assumptions


7



PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




162 150 ~~

Oo6dia N



ITEM ALLOWANCE

0S 0035 - 0045




Span Unbalance 020

Width 32-46

Alignment 1000R

Skew 35bull


r

A = 06g I Sp~~2~middot = 17 A=283 (144) 0017=693 in2

Column Area= 28 ft2


11 tot 44 48

14 tot 30 68 +-use

18 tot 17 123

I 6dia

ACTUAL

0040

248

283 ft2

1620

008

355

Straight

obull

35k

OK

OK

OK

OK

OK

OK

OK

OK

I ~







BDS Output



Moment Moment


Support Jt 1

PosHive 802 00 00 00 00 00


Member3


Negative 00 00 00 878 -10920 5460

Support Jt 3

PosHive n9 00 00 00 00 00

Negative -77 00 00 00 00 00



Moment Moment


Support Jt 1

Positive 2220 00 00 00 00 00


Member3

PosHive 3481 3400 -1700 2602 36920 -18460

Negative 00 00 00 2505 -33190 16600

Support Jt 3

PosHive 2145 00 00 00 00 00

Negative -77 00 00 00 00 00


Live Loads

16

12 12

r-1 10 1 10

Curtgt

f





P Loads- Case 2

(1 P + 1H Lane)

P Loads- Case 3

2 6 2 6 I I I

+ + I t 4 2J J I I

8

14 f--~Column




(Maximum Axial)



(Maximum Axial)


M1bull1793(8 + 14)12 - 1972 k

M - 66 k p 179k-M

1 a 948(8 + 14 + 2 bull 4)12 - 948 k

M bull 620(2) - 1240 k p middot948(2) - 190 k

M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k

p - 1793(2) - 359 k

M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k

M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1

M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k

M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k

M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k











4 2613 1290 7059

5 4042 1999 10941

6 5722 128381 15529

10bull Aggregate



4 2000 913

5 2125 1168

6 I22So I 1444


J




Column Type Pages




Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52


Assumptions


7



PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0








BDS Output



Moment Moment


Support Jt 1

PosHive 802 00 00 00 00 00


Member3


Negative 00 00 00 878 -10920 5460

Support Jt 3

PosHive n9 00 00 00 00 00

Negative -77 00 00 00 00 00



Moment Moment


Support Jt 1

Positive 2220 00 00 00 00 00


Member3

PosHive 3481 3400 -1700 2602 36920 -18460

Negative 00 00 00 2505 -33190 16600

Support Jt 3

PosHive 2145 00 00 00 00 00

Negative -77 00 00 00 00 00


Live Loads

16

12 12

r-1 10 1 10

Curtgt

f





P Loads- Case 2

(1 P + 1H Lane)

P Loads- Case 3

2 6 2 6 I I I

+ + I t 4 2J J I I

8

14 f--~Column




(Maximum Axial)



(Maximum Axial)


M1bull1793(8 + 14)12 - 1972 k

M - 66 k p 179k-M

1 a 948(8 + 14 + 2 bull 4)12 - 948 k

M bull 620(2) - 1240 k p middot948(2) - 190 k

M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k

p - 1793(2) - 359 k

M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k

M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1

M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k

M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k

M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k











4 2613 1290 7059

5 4042 1999 10941

6 5722 128381 15529

10bull Aggregate



4 2000 913

5 2125 1168

6 I22So I 1444


J




Column Type Pages




Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52


Assumptions


7



PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



Live Loads

16

12 12

r-1 10 1 10

Curtgt

f





P Loads- Case 2

(1 P + 1H Lane)

P Loads- Case 3

2 6 2 6 I I I

+ + I t 4 2J J I I

8

14 f--~Column




(Maximum Axial)



(Maximum Axial)


M1bull1793(8 + 14)12 - 1972 k

M - 66 k p 179k-M

1 a 948(8 + 14 + 2 bull 4)12 - 948 k

M bull 620(2) - 1240 k p middot948(2) - 190 k

M middot 1793(8 + 14 + 2- 4)12 - 1793 k 1 M bull 660(2) - 132k

p - 1793(2) - 359 k

M -3481 (1 15) (8 + 14)2 - 4403 k 1 M - 1700(115) - 196 k p ~3481(115) - 401 k

M bull 2602(115)(8 + 14)2 + 948(2-4)2 bull 3197 k 1

M bull 1846(115) + 620 bull 2743 k p - 2602(115) + 948 - 394 k

M1=3461 (115) (6 + 14)2 + 1793(2 - 4)2 = 4223 k

M = 1700(115) + 66 262 k P bull3481(115)+ 1793 bull 560k











4 2613 1290 7059

5 4042 1999 10941

6 5722 128381 15529

10bull Aggregate



4 2000 913

5 2125 1168

6 I22So I 1444


J




Column Type Pages




Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52


Assumptions


7



PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0











4 2613 1290 7059

5 4042 1999 10941

6 5722 128381 15529

10bull Aggregate



4 2000 913

5 2125 1168

6 I22So I 1444


J




Column Type Pages




Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52


Assumptions


7



PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




Column Type Pages




Square - 4 5-6 and 7 13-20

4-0 X 6-0 13-24

5-6 X 8-3 13-40

7-10 X 10-6 bull13-52


Assumptions


7



PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




PN VS MN

-~

~~ ~ +-------+-------+-------~~-+~~r-~r-~----r-~

~

ri ~sect 1-+-----~-------+----+-~~-+~~~~~~~~~ z-sect

~ ~-------+--------~--------r--------+---------r------~ 0 1000 2000 3000 4000 5000 6000


A =126 ft2

I = 126 ft4 lz =251 ft4


I





sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0






sect ~

I +-------~--------+-------~--------+--------+--------4 0 3000 6000 9000 12000 15000 18000


A bull 238112



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



PN VS MN



2- ~-l-----1-----lf-----+tt-+-1-++-+---H-+-+----l ~ J

cf-~~ i ~--~---+~~r+~~-+-+-+~ -~

~-~------4-------~-------+------~~------+-------~1 0 6000 12000 16000 21000 30000 36000


A 5 385 ft2 I =117811 12

a 2357 ft


PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



PN VS MN

sect bull+-------~~~~~~--~~~--~--+-~L---~------_


A bull 133 ft2

I bull 14011 1 281 It 5


Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



Main Reinf PN VS MN

middot



~ iltg

0 ~middot~----+------~---~~~---~-4--44 J

cf-~~ ~ +------+------+-~~~~~~~~-+-+~--~ -~

I

z ~0+--------+--~~--~~~~T+--~~--~~--~~L----~

sect r~------~--------~------~------~--------~--------1


A bull 251 112

D 501 It 1 ~ 1002 It I


Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



Main Reinf

bullo I



~~---+-----+-----4-----~~~~~~

c 8 ~g+-----~-----+-----4~~-+~--+-~--~~ c J

a-~~---+-----+--~~~4--+--~+--~ -~

~1-----+-----+-----+-----+----4----~ 0 6000 12000 18000 2i000 30000 36000



1 = 2629 It I


PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



PN VS MN y

middotmiddoto L

sect +--------h~~--f--~~_~~~~r---~--~------~

~ I l--------4--------+-------+--------~------+--------l


A bull 120 ft2

I = 13311 1 = 100 It 1 bull 233 It


Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



Main Rtint

y

middot _ ltl L


lC sect ~~r----r----r---~~~~-r~-r~ J

sect ~------~------+-----~~------~------~-----4 0 3000 6000 9000 12000 15000 18000


A bull 227 ft2

1 - 477ft 1 bull 357 ft 1 - 834 ft

I


middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



middoto - _


-8 eshy

gtlt~ ~ 0 -

a ~8 a~ =X 0

z -0

~~--~--+---+---+---4---~ 0 6000 12000 18000 24000 30000 36000


A bull 368112

1 bull 1251 It 1 = 938 It I = 2188 It


-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



-0

~ ISingle Ring I


~+-----4-----+-----~---=~~

sect ~+---------~-------4-------

~+---------t-------~--------~ amp- ~+---t--------+-hi-+-I-+++-+-----H---+-----4 ~ -

ci-gtltoao 0

J-+-------+-------+--~~~~~~~~-f---f+-~----4 ~

~


A = 160 112



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



PN VS liN


sect r ~-------4--------~--------4--------4---------+---------l


A a 303 ft2



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



PN VS MN



0

~~---+----~--~~~

~ ltg ~~+-----~-----+-----~~~~+--4~~--~ c J

I 118 ~~+-----~-----+-~~-+~--~~~-----~

= ~

~~---+----+----+----~---4------1 0 8000 16000 24000 32000 40000 46000


A a 490 ft2 I amp 2001 It 1 - 4002 It


Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



Column Types


7-10 X 10middot6


sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



sect

Jt--_

_ d- 0 r---shy3o


p bull101



A e 206ft2 1 a 232 ft I -491 It 1 = 724 It


----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



----~ ----~ ~

~ sect

_ltIgt u

I Q_-

0


4-ox 6-o 30-9

Pn bull4000k

~ Pn bull 4500

~ ~

~ ~

- Pnbull

_

oook

Pn bull5500k

Pnbull60Cpk

Pn bull 6500k

~ l~

1




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




-+---~~d-y393 Mn

1


~~r==-~~~-~~~~~~~~==~~~=~35~0~0~~t----l ~ ~~ Pn 3000 k


i i~~~~~~~~~~~--~


A bull 206112




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




3o-io

8 ~~~---+----~~~~==~----~--~ lshyn-

8 ~~------+-------~-------+-------1~~~~+-------~

~ -~--~-----+-----+----4-4-~~--~

oi--------+-------+-------+-------~-L-L-L~------1 0 1200 2i00 3600 i600 6000 7200



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



c~xmiddot 2098


~~~~--~~~~~---r--~ t-CL

0

~~r----~~r-~~--~~~~~--r-~

sect~~--~--~~~~~~~~ ~

8 ~~------~-----~--~--~--~--Hr-4~+-~~--~

0~------~------~L----L~-J__-J~-L--L-~~L-~ 0 1200 2400 3600 4800 6000 7200A bull 206112


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0


--



4-011X 6-011

28 - I

8 ~ ---~ --shy


PnI= 5500kampsect ~

Pn =6000k 0- I

1~~

~

8 N

~ 1~1

1

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


~ p = 179 ---------------------------

oi--------+-------+-~---L+-~~--+-~~-L+-------4 0 1500 3000 i500 6000 7500 9000


A bull 206 ft2

1 5 232 It 1y = 491 It I bull 724 It



4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




4-ox 6- o 34 -il

~ r-----~----~------~----~----~----~

0~------+-------~-------+-------4~~~~+-------4 0 1500 3000 4500 6000 7500 9000




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




p 2ooo 1

oi--------~------~----~~~---L--~-L-L-L~------~ 0 1500 3000 -1500


KIP-FT 7500 9000

A a 20612

I = 232114

I =491 114

1 bull 724 14



4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




4- ox s-o 38

~ ~------r-------r-------r-------r-------r-------

ol-------~------+-------+-------~-L~~+L------4 0 1500 3000 ~500 6000 7500 9000



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


~ - ~----~----~----~

~r~ _ _ k+-------~sectP=~==--+---~~-r~~~~~~~-~~~~- --= 3_oo_o~ --~ =Z500k

~ t~~------4-------~~--~~~~~~~------+-------~

_I - ~~ 0 ~------+-------~------~~~~~~~~~+-------~

~ ~~ z~~------+-------~------~----~-4~~~~~~----~

oJ------~~-----4-------+------~L-~~4-~LL~ 0 1500 3000 1500 6000 7500 9000


I = 724 It




t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0





t1 1----1----t-----t-~gtr-r~---t-----i shy-

~ ~---4-----+----~----4---~~~+4~

Ol----1----~---t----t---~~~~~ 0 1500 3000 ~500 6000 7500 9000



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


sect -----------~------r----------~----~

_

0 1--------+-------~-------+--~-L~~-L~-L+-------1 0 2000 4000 6000 6000 10000 12000


A =206 112

1 e 23211 11 11

bull 491 It a 724ft




sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0





sect ~ r------------------------------------------

Pn 4000k

Pn 4500k

~~1-------l--------l-~~~~~----l--------l--------l ~ ~

~~1-----+------1-----~~~~---+----~

ol-------l-------l-------l------L~~~J-j-----~ 0 2000 4000 6000 6000 10000 12000



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


Pn =3000k


0~------+-------+-------+---~~~~~~~~--~ 0 2000 1000 6000 8000 10000 12000



5



4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




4-o x 6-ou

26-e

sect

0~------4-------~-------+-------4--~-LLJ~ll------1 0 2000 4000 6000 BOOO 10000 12000



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y

d bull bull 2918


5-~V-r1

sect pbullIOO

N~-----------------------------------------

~ -gtlt

g~ t-=~~~~~~~-~ ~----4---4

sect~~~~~~~~~~~~~~--~

~+----~

0~----~~----~~~~~~~~~~~~~----~ 0 3000 6000 9000 12000 15000 I 8000





5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




5~611

X amiddot-3 11

44io

sect N~------~--------~------~--------r--------r------~

sect~--shy

~+-~=---~~~~~~----+-------+-------+-----~

oimiddot--------~------~--------~---L--~-L~~-4------~ 0 3000 6000 9000 12000 15000 18000



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



4411


sect ~~------~-------T------~

sect~----~-+-----~~~~~ I

a- Zsect -WN~~~~~--~--~~~~~~~~~~~----4-------~ ~

~

isect+-------~--~--~--~~~~~~--~~-~4-------~


A B 389112

1 = 83 It 1 bull 1756 It 1 5 2587 It




~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0





~r--------------------------~-----------------------------r-------------~------------~

~ t - +---------------1---------------+~

I shygtlt

~sect wN --------------1-------------+------------~~~~~~~------+-----~- ~

~-~--------~---------+------~~------------~~4-~~~--------~

ci-------------~-------------+-------------4----------~~-L~~_u----~ 0 6000 9000 12000 15000 16000


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0


--


y

2837MNY VS MNX 2197

PO 20161 K5

s---u

sect____

~ t +-~==~-+--~~--~~~~~~--~ d-_o ~~ ~ -+----+--~--+gt~~ ~

~ is ~amp1+--- -+-__

~+----+----+-~--~-+~r-_t-t-r-tt~-~

0~---~---+-~--~~~~P-~J-~~-L-~ 0 3000 6000 9000 12000 15000 16000


= 1756 ft 1 - 2587 ft



5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




5-sx s -3 sect 54 -~1 ~~~~--r-~~~ sect

~~ ~-~--~---+----r-~~~~--~

i~~--~---+----r---~-r~~~

I

o i--------~------~------~------+-----~~-L~~I 0 3000 6000 9000 12000 15000 16000



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



MNY PO E

VS MNX 21210 K

y

p bull173

a ~sect ~-----~~+-----~~----~~~Ar~~~~~~~------4-------~

0 1000 8000 12000 16000 20000 21000


I m 631 ft4 1 = 1756 ft4 I e 2567 ft4



5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




5-6x 8- 3

~ ___1-shy ~

~ ---~ -- ~Pnbull70C bk


1PnbullI2P00 1

~

~~ sect

1

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


~T---------------r----p-=_20- IOf_o____5_-_s__x_e_-3

0

8--~ 0

~Ni~~--4~~~~~~~~~~~~--t----1-----Lt

I Q

1-8 zowltpoundJ ~-+--~-~---~-P~~~ c X

a Zoig ~~+----~----~

0~----+----+---~--~~~~~~~~~----1


16000 KIP-FT

20000 24000

A =389 ft2

IX = 831ft4 ly =1756 ft4 lz =2587 ft4



g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




g ~+-------~-------4------~~------~~4-~~------~

Oj--------4-------~-------+------~~~-L~+L-------1 0 4000 BODO 12000 16000 20000 24000



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


PO m 240i7 K

p 257

~~---+----+----+--+-4++~~~





5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




5-~x e-3 ~ 36-18 n~--~--~--~--~--~--~

sect ~+-------~-------4--------~------+-----~~~4-~~

OI--------4--------+-------4--------~----~~~-L~ 0 1000 eooo 12000 16000 20000 21000



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


5

sect = 100 7~0x 10-6P

~~~-d~~~~~~--------------~


2i000 KIP-FT

30000 36000

A bull 630 ft2

I = 2179 ttlt lr = 4608 ttlt 1 = 6787 It

----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0


----


--~ ----~

0


7-0 x 10-6 58- 11

~ bull1 2 ooo1

[_ Pn bull14 00~~ 1- Pn = 16000k

Prl bull IBOOOk _ ~

1

1 Pnbull20~ ~obull

I

I

I

II I

I

I I



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



d1 bull 3516

dy 2859


bull

pbullt20~r---~ ~+-------~~~~~------~~------middotr-------~------~

01--------+-----~~~--~-+-L--~~--L-~~yen--L-L~ 0 6000 12000 18000 24000



bull 6787 ft

---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0


---



70- 11

--~ Pn =12000~


1-- - middot- Pn= 18000k

~ ~[_~ Pnbull2ooook

~~

~

~ ~ 1

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




d bull bull 3728


A ~ 630 ft2

1 a 2179 It 1

1 a 4608 It1 1 = 67871t

-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0


-----




----~ - ~ Pn bull 16000k


y ~ ~~

~

~

s 0


iOOOO i6000


MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



MNY VS MNX y

PO ~ 34lt105 K

-----~-------r----~

Pn 10000k

=eoook

OJ--------~------~~--~+L~~~+L~LL-U~----~ 16000 21000 32000 10000


A ~ 630112



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



MNY VS MNX PO = 3~~05 K 7-ox 10-6 70- 14

-=~ ---~ 120ook

~ bull 14000 k---~ -- Pn =16000


1 ~~

T I i

I

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


~--


sect t~+===~--~--~~~~~~~~~~~--+--------+--------

1 0- z ~ r---shyM+-------~~~--~+-~~--~~~~~-+~------+-------~

O I--------~--------~------~~--~~~-L~~Y-~-----4 0 8000 16000 2i000 32000 40000 18000


A = 630 ft2




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




46- 18

~+-------~--------+------~--------r-~1-~~+-----~

0~------4-------~-------+-------4--~~~~-L-----1 0 8000 16000 2i000 32000 iOOOO i8000



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0



y


~ W~-------r--------------

70xl0- 6

sect Pn=-3oook

~~--~----4----+-4-~44~M+~

o~middot-------4--------~------+------L~--L-L-~~-L~~ 0 8000 16000 21000 32000 10000 18000


11

a 2179 ft 1 a 4608 ft1 I bull 6787 It



56- -~~ 18


~

~~

0




56- -~~ 18


~

~~

0


design of single column bents for 2-span box girder · pdf filebridge design aids august 1989...

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