bridge analysis and design v1.1

8/16/2019 Bridge Analysis and Design v1.1

1/132

BRIDGE GENERAL DATA

LONGITUDINAL DIRECTION

Span Length Ltab = 19510 mm

Support Back ength a = !00 mm

Bet"een #anne $ Beam b% = 50 mm

GIRDER DI&ENSI'NS

(o)er pp = *5

+, = 100 +5 = 1*5 +! = 0

#RE(AST GIRDER BEA&

19!10

1-.10!00 !00

L/eck =19510

a = a =Lcac =

Lbeam =


2/132

+ = 00+* = .5+1 = 150

1 = .50* = .50 = *00 ! = 0

&ATERIAL DATA

Reat%)e hum%/%t+ R2 = ,030 4

n%t "e%ght o6 concrete Gc = *!30 kN7m

E8tee = *0000030 &pa

1 *


3/132

DE( REIN:'R(E&ENT DESIGN

h = *00 mm

b = 1100 mm

(o)er = *5 mm

Bar ra/%u8 = 1! mm


4/132

Bar 8pac%ng = *00 mm

ELAST'&ERI( BEARING DESIGN

;


5/132

GIRDER DESIGN

T'# 0 mm1

#N/A

#N/A

#N/A

#N/A

* . 1*0 ● ● ● ● ● ●1 10 ,0 ● ● ● ● ● ● ● ●

B'TT'& 1. mm

03,C Gra/e *.0 SI L'F RELAATI'N SEHEN FIRE $$ #RESTRESSED STRANDS


6/132


7/132


8/132


9/132


10/132


11/132


12/132


13/132


14/132


15/132


16/132


17/132


18/132


19/132


20/132


21/132


22/132


23/132


24/132


25/132


26/132

mm

mmmmmm

B% = 50


27/132

mmmmmm

mmmmmmmm


28/132


29/132


30/132

● ●


31/132


32/132


33/132


34/132


35/132


36/132


37/132


38/132


39/132


40/132


41/132


42/132


43/132


44/132


45/132


46/132


47/132


48/132


49/132


50/132


51/132

PROJECT NAME………: YAVUZ SELiM BULVARI ALTGECiT iNSAATI

LOCATION…...……....: BEYLiKDUZU-ISTANBUL

REGULATION……......: CONCRETE DECK DESIGN

IN#T DATA

EJect%)e 8pan ength L =

Deck Th%ckne88 hc K 1.5 cm ' hc =

A8phat Th%ckne88 ha =

G%r/er 8pac%ng M S393.3*33 S =

Truck t+pe TT = 20$S*!

Lane8 number8 SS =

Re%n6orcement 8trength 6+ =

(oncrete *-$/a+ compre88%)e 8trength 6Cc =

Beton ea8t%8%te mo/PP Ec% =

(oncrete /en8%t+

Fear%ng 8ur6ace /en8%t+

(o)er A e/ge8 are the 8ame pp =

Bar Ra/%u8 Top O Bottom D =

γc =

γa =


52/132

Bar 8pac%ng Top O Bottom 8% =

CALCULATIONS AND CHECKS

D!" $!" %&'(: )S.*.+.,-

Dtab =

Deck &oment &c = Dtab SQ* 7 10 &c =Db" =

Fear%ng 8ur3 O Barr3 &a = Dba3 SQ* 7 10 &a =

Li $!" %&'( )S.*.0.,.,.-,

Lane8 6actor SS = %%n m =

Truck oa/ D+ = am3+Pk m D+ =

L%)e oa/ moment & =M8O0,D+71* & =

%mpact 6actor U =

L%)e oa/ 6actore/ moment &C =

M1 2,.3M& 4 ,.3M! 4 ,.53M67 &u =

B8"i89 &!&1!'i$8( : )S.3.5.*..,

The pre88ure coeVc%ent o6 the /epth reg%on

&oment 8a6et+ 6actor

(oncrete ten8%e 8tre88 6r =

Sect%on Length con8tant 1 m b =

Sect%ona Ee)at%on Account /8 = hc$pp /8 =

Bar number8 Da = %ntMb78%O1 Da =

Bar Number8 7 Ra/%u8Mmm 7 8pac%ngMcm

Tota bar area A8 =

Depth o6 8tre88 bock a=A83:+703-536Cc3b a =

:eura 8trength &n = A836+3M/8$a7* &n =

:eura 8trength o6 (oeVc%ent8 &r = W3&n &r =

U = 1O 157MLO.5

&C= U 3&

β1 =

W =

6r = 0,*5√6Cc

A8 = Da3π3DQ*7!


53/132

&r K &u


54/132

AASHTO LRD ;;5

1-3.1 m

*030 cm

-30 cm

11030 cm

#O450 $450

30

!*0 &pa

*5 &pa

19!00 &pa

*! kN7m

*1399 kN7m

*35 cm

1! mm


55/132

*0 cm

53*- kN7m

03.0 kN3m30* kN7m03!0 kN3m

03-5

1*0 kN

1. kN3m

13*.

*135,0!, kN3m

93*115 kN3m

03-5

039

31*5 &pa

110 cm

1.35 cm

, A/et

, U 1! 7 *0

93*,*-* cm*

13,595,. cm

,!3,,..5 kN3m

5-3*009. kN3m


56/132

'


57/132


LOCATION…...…….....: BEYLiKDUZU-ISTANBUL

REGULATION…..….....: PK-53;/53;/53;

1X DI&ENSI'NS131X L'NGITIDAL #R':ILE MS#AN

Span Length Ltab = 19510 mmSupport Back ength a = !00 mm

Bet"een #anne $ Beam b% = 50 mm#a/ ength Mbr%/ge ong%tu/%na /%rect%on Lm = 00 mm

L$*a71* (acuat%on Length Lcac = 1-.10 mm

L$*b%71* G%r/er Length Lbeam = 19!10 mm

13*X TRANSHERSE #R':ILE

Number o6 beam Nb = 11 a/et Tota /eck "%/th B = 1!100 mm

The a)erage he%ght o6 the pa)ement 2k = 00 mm The a)erage "%/th o6 the pa)ement Bk = *000 mm

Bet"een Beam $ Beam S = 1100 mmFear%ng 8ur6ace he%gth t" = -0 mm

Deck he%gth t8 = *00 mm2aunch he%gth th = 0 mm

2aunch "%/th th" = 0 mm

13X #RE(AST BEA& SE(TI'N(o)er pp = *5 mm

+, = 100 mm +5 = 1*5 mm +! = 0 mm+ = 00 mm+* = .5 mm+1 = 150 mm

1 = .50 mm* = .50 mm = *00 mm ! = 0 mm

1!100

1100

-0*000

00

50

00

#RE(AST GIRDER BEA&

1-.10

1-.10!00

L/eck =

a = Lcac=

Lbeam =


58/132

*X &ATERIAL DATA

Reat%)e hum%/%t+ R2 = ,0300 4*31X ('N(RETE

n%t "e%ght o6 concrete Gc = *!30 kN7m

*3131X #RE(AST BEA&6Cc = !030 &pa

03- 6cC 6Cc% = *30 &pa6b = 030- &pa

gc/Q15M6uc%Q0571000 Ebeam = *19!-35 &pakarea71*71*gc/ Gbeam = -3* m3/e kN

*313*X DE( SLAB

6Cc = *530 &pa

Ebeam = 19!0030 &pa

*3*X STEEL

*3*31X REIN:'R(E&ENT STEEL

[LRFD Art. 5.4.3.2] 6+ = !*030 &pa[LRFD Art. 5.4.3.2] E8tee = *0000030 &pa

Top 6ace o6 the beamMcompre88%on A8C = , Y1, 1*0, mm*Bottom 6ace o6 the beamMten8%on A8 = . Y1, 1!0. mm*Shear re%n6orcement %n the bo/+Z A8g = *5 Y1* 111 mm*

St%rrup8 %n the m%//e o6 the beam A8e = Y- 7150 -5 mm*7mSt%rrup8 at the beam A8e = Y1* 7.0 **, mm*

[LRFD Eq. 5.4.2.4-1] *3*3*X #RESTRESSED STEELStran/ D%ameter (ap = 1!3* mm

[LRFD Table 5.4.4.1-1] Area o6 one 8tran/ A8tr31 = 1*39 mm*6pu = 1-, &pa

[LRFD Art. 5.4.4.2] E8tran/ = 195000 &pa096pu 6p+ = 1,.,3. &pa

[LRFD Table 5.9.3-1] 0.56pu 6p% = 1,..31 &pa0-6p+ 6pe = 1,..31 &pa

*3X FEARING SR:A(E #AHE&ENT BARRIERS#a)ement an/ barr%er "e%ght Fbarr = !3., kN7mn%t "e%ght o6 a8phat "ear%ng 8ur6ace G" = **30 kN7m

%r%[ r%ng/e aZ[Z+or3/%ng% araarZ 450 a\atZ/Z3 D%ng% +Pker% 450 arttZrZ/Z3

IA(TMaa8hto 03*.

20$S*! #O450 $450 S#1 = 0300 kN #1 = ,3.#* = 1*0300 kN #* = *.30# = 1*0300 kN # = *.301 = !*50 mm 1 = 1!31


59/132

* = !*50 mm * = 1!31

I& = 03*.

X STRAND #ATTERN= 03,C Gra/e *.0 SI L'F RELAATI'N SEHEN FIRE $$ #RES

T'# 0 mm %n3 'T

1 0 0 0300 *935* 0 0 0300 *935 0 0 0300 *935! 0 0 0300 *9355 0 0 0300 *935, 0 0 0300 *935

030STRAND#ATTERN

R'FN&BERS

, 0 0 0300 03005 0 0 0300 0300! 0 0 0300 0300 0 0 0300 0300* . 1*0 !3.* .300 ●

1 10 ,0 *3, 10300 ● ●

B'TT'& 1. %n3 1.

!X Debon/%ng

R'F STRAND N&BER ': S2EAT2 LENGT2 AAS2T'N&BERS N&BERS S2EAT2 mm 6t ('NTR'LS

, 0 05 0 0! 0 0 0 0* . 1 1!.- 93-* 4 1!3 1!3 ] !01 10 *95, 93-* 4 030 0 ] !0

B'TT'& 1. ! 4 *35 *35 ] *5

(AL(LATI'N S2EAT2 LENGT2

031,L =

&%n031, L 035LM1$M1$&cr7&uQ035 =

Ltran8O6pe$*76pe%8cap =L7*

STRAND#ATTERN

SELE(T S2EAT2 LENGT2 m%nM1* =


60/132

● ● ● ● ● ● ●

● ● ● ● ● ● ● ● ● ● SELE(T S2EAT2 LENGT2 m%nM1* =

(AL(LATI'N (R'SS$SE(TI'N #R'#ERTIES BEA&

1 *935*.5590551* *935*.5590551 .3-.!015.!-! 0 ^1 53905511-11 ^* *395*.559055 ^ 113-110*,** ^! 0 ^5 !39*1*59-!*5 ^, 39.00.-.!

AM%n* +b M%n A+b I AM+b$+bCQ*A1 1.!3.5!-.50. *395*.559055 51!3--.-!0- 50,3..9.0-. **953*,1-95A* 139,--19., ,3--9.,..95 **03*5.5.,! 153!-!9*5**1 1-13!11,A *3*500!,5001 .3-1--9.,- 1.13,*9*-0*. 1,3-9*,!5,9, 115*31*5*51A! 930001-,000! 1!3.,..95*- 1.30!*!*1 10-131*9*!5 10390,!-5,5!A5 0 *03,,9*919 0 0 0A, 0 *03,,9*919 0 0 0A. 53*-15,5,*. *395011*! 1*.,3095!-* .13,-9!,-,15 !-.3-!,5-,1A- -3.500..500* *31*99*1*, -9,3*-,*!19 .-3*0,,905 *9-3.909-95A9 11,3*50**5005 *.355905511- *03.!,5,5 150315,-50, *00,!3..--!

!"55.94 139*EO0 53-EO0!

$$K A 51STR'NG AES +bC 1!

I 55,.

A + A+ I+ AM+$+CQ*A1 1.!3.5!-.50. 1!3.,..95*- *5.!3!9*0! 1*,,93!-!*.* 0A* 1539-!!0,9,-- .3*1.-!..,9 1153.01,1- 10!30910-! 91031,9!95!

A 1539-!!0,9,-- **309.11*-, 5,3,0.50!55 10!30910-! 91031,9!95!A! *3*500!,5001 1!3.,..95*- !3*5-5,05 1*031*5!-05 0A5 930001-,000! 1!3.,..95*- 1.30!*!*1 !-035019**01 0A, 0 103-*,..1,5! 0 0 0A. 0 1-3.00.-.!0* 0 0 0A- 0 1!3.,..95*- 0 0 0A9 *,3,!0,.-*-1! .3*1.-!..,9 19*3*--,0 1.3!--51!05 151,39!91559

A10 *,3,!0,.-*-1! **309.11*-, 59!3!5-!09* 1.3!--51!05 151,39!91559A11 -3.500..500* 1!3.,..95*- 5.*309.,00-9 *003*091!1. 0A1* 11,3*50**5005 1!3.,..95*- 1.1,3*9*-0*. -!!,3**-!.- 0

!#3!.!4 *3*5EO0! !3-5EO0

^^ $$K A 51FEA AES +C 15

I XX

I YY


61/132

I^^ *.*,

(AL(LATI'NS AND ('NTR'LS

#reca8t 8ect%on

D%8tance 6rom centro%/ to the etreme bottom _ber +b = 3,,EO0* mmhb$+b /%8tance 6rom centro%/ to the etreme top _ber +t = 3-!EO0* mm T'#LAMG!5G50 Beam 2e%gth hb = .350EO0* mm

Area o6 Beam Abeam = 3!EO05 mm*&oment o6 %nert%a I = *3*EO10 mm!

I7+b Sect%on mo/uu8 6or the etreme bottom _ber Sb = ,3EO0. mmI7+t Sect%on mo/uu8 6or the etreme top _ber St = ,30!EO0. mm

(ompo8%te 8ect%on

De8cr%pt%on aan +b A3+b I8trongM%n* M%n M%n M%n! M%n!

Beam 503-- 1!3!* .3,,EO0 *39!EO0! 535.EO0!2aunch 0300 *935 0300EO00 0300EO00 0300EO00Sab !1300 3!, 131!EO0! !35-EO0! 135,EO0tota -.13-- 1391EO0!

[LRFD Art. 4.".2.".1] E/8m7Ekr8 n = 03--ck1*7! 1 = !3,-EO0 mm

S1* * = 1310EO0 mm

1*t8O%%7* = *3.-EO0 mm[T$DOT %&. '!-#5] nm%nM1* ekkg = 93.*EO0* mm

t8ekkg ekka = 139!EO05 mm*Akomp = 53,EO05 mm*

t8OthOhb hc = 9350EO0* mm

AM+cb$+b*

1*


62/132

Ic = 535*EO10 mm!`Area+b7`Area +bc = 5355EO0* mm

D$+bc +tg = 1395EO0* mmhc$+bc +tc = 395EO0* mmIc7+bc Sbc = 939EO0. mmIc7+tg Stg = *3-!EO0- mm

Ic7M+tcnc Stc = 135-EO0- mm

S2EAR :'R(ES AND BENDING &'&ENTS

DEAD L'AD D(

Dtab 03, k%p76t Gc/71000Mt871*SOth71*th"Dbeam 035, k%p876t Gk%r%871000ODA

DEAD L'AD DF

Dbarr 030, k%p876t7kr8 *Fbarr710007NbD"ear 0315 k%p76t7kr8 G"71000t"71*MB$*tbarr7NbDb" 03*1 k%p76t7kr8 DBarrOD"earno 6actore/ 8hear an/ moment82D *.3,* 6t Lhe8ap7*$Lhe8ap7*0

BEA& FEIG2T SLAB FEIG2T tota 7L H & H & H6t3 k%p8 k$6t k%p8 k$6t k%p80300 03000 1.30 0300 11311 0300 *-3!131 03051 1535 5139 939- 301 *5351350 0305. 153 5.30. 93-! ,3,, *531.!3,0 03100 1!3.0 .3,, 93!! !.31 *!315,31! 03*00 13-! 9535, -3-9 ,13- **3.1*3*- 0300 103- 1,93-- ,3,. 10931* 1.30!1-3!* 03!00 ,39* ***39. !3!! 1!3** 113,*!355 03!*5 3!, *5!3-* *3** 1,3,- 53,-*.3,* 03!50 13. *,*3.9 1311 1,-3-0 *3-!03,9 03500 0300 *,53!! 0300 1.0350 0300

,5.*; 03.++ ,,.,, ,5;.3;


63/132

31 03051 13** 103*9350 0305. 03-0 11!3.*!3,0 03100 *9355 1!-30,,31! 03*00 *.3-1 19*30-1*3*- 0300 *03-, !13!.1-3!* 03!00 1391 !!-31- H= " M035 L$*!355 03!*5 ,395 51*3*1 &=035 " ML$

*.3,* 03!50 3!- 5*-3*103,9 03500 0300 5355*+.55 3**.33

LIHE L'ADS LL

n 131 Ekr87E/8meg 1930! %n t87*O+tg *-0.9- %n! nMIOkarea(1*0Q*NL 300 Lane8 tam8a+ZMMB$*tbarr71*

S= 3,0-9*- 6t 5 ] S ] 1,t8= .3-.!015 %n !5 ] t8 ] 1*L= ,!30091-, 6t *0 ] L ] *!0Nb= 11g= *-0.9- 103000 ] g ] .30003000

:actor o6 ben/Zng momentD:& 030 030, O MS71!Q03! MS7LQ03 Mg7M1*Lt8QQ0D:& 03- NL K 1 030.5 O MS795Q03, MS7LQ03* Mg7M1*Lt8Q

D:& 03- Lane87kr8

:actor o6 8hear 6orce3D:S 03!9 03* O MS71* $ MS75Q*D:S 0350 NL K 1 03, O MS7*5

D:S 03!9 Lane87kr8

IA(TMaa8hto 03*. 507MckO1*5 ] 0IA(TMLr6/ 03

Truck oa/

20$S*! #OO450 $450 20$S*! #O450 $450 S#1 = 0 kN #1 = ,3.!#* = 1*0 kN #* = *,39-# = 1*0 kN # = *,39-1 = !*50 mm 1 = 1!31** = !*50 mm * = 1!31*

IA(TMaa8hto 03*,- I& = 03*.

Tan/em oa/

Nb !

NL = 1

NL = 1

L

*!3. *!3.1!31*


64/132

#ta = 110300 kN *!3. k%pta = !*50 mm 1!31* 6t

Lane8 oa/

ane8 = 10300 kN7m 03,9 k%p76t

L'ADING RESLT

TR( L'AD TR( TR( O I&

7LH &

6t3 k%p8 k$6t k%p8 k$6t0300 03000 5139 0300 1395 ;.;;31 03051 !-30 1!03-- 030* ,-30!350 0305. !.39 15,3* *93.9 .5350!3,0 03100 !,3-! *013*1 *931* 9.31-,31! 03*00 !53* *,0300 *-31. 1*535.1*3*- 0300 93*5 !53.5 *!3!0 *193151-3!* 03!00 31- ,01355 *03, *9035*!355 03!*5 *.311 ,-!3., 1,3-5 03.**.3,* 03!50 *!30- ,9-3!* 1!39. .3*03,9 03500 *130! ,93!5 130- !39*

ma )aue 3,.*= 0=


65/132

6t3 k%p8 k$6t k$6t k$6t0300 03000 1031 0300 ;.;; ;.;;31 03051 93*9 *3-0 1*13!5 !3.350 0305. 931. *,3! 1!3,0 -3!9!3,0 03100 -3-* !31* 1.*3,! !93.,31! 03*00 -35 !!3*, **1391 ,3!5

1*3*- 0300 ,3,0 .-3,- ..35. 10.39.1-3!* 03!00 5305 103*. !-.3*. 193!*!355 03!*5 3.1 11-30* 5*39 15*3*!*.3,* 03!50 31* 1*13.1 5*.301 1503.003,9 03500 *35- 1**39! 50*399 1!3-

ma )aue ,;.*, ,.=+ 3*.*= ,3.+

Ser)%ce oa/ 8tre88e/ at &%/8pan

*,53!! k$6t

1.0350 k$6t

9.3,0 k$6t

.3* k$6t

1**39! k$6t

*3*- k%p7%n* M&gO&81*7SbO&8/O03- M&tO&1*7Sbc

Ao"abe Stre88 L%m%t

:bb 03!, k%p7%n* 019M6uc71000Q05

Reu%re/ Number o6 Stran/8 MG2S

6pb 13-* k%p7%n* 6b$6bb

+b 1!3!* %n+b8= the /%8tance 6rom center o6 gra)%t+ o6 the 8tran/ at m%/8

+b8 *3, %n

1*30, %n +b$+b8%

#pe% ,3!5 k%p8 6pbkareaSb7MSbOkareaec

o88+ *0300 4

o88k !035 k%p7%n* Mo88+7100M6p%71000

o88 131 k%p8 SareaM6p%71000$ o88k

G2S 1*

area 503-- %n*

Sb -,0350 %n

&6

&g

&8

&SDL

&LT

&LL

6 b

ec


66/132

eh 0300 %n

+b8en/ 3 %n

+b8 3 %n

2S 1.

ec 11309 %n

ec% 11309 %n

#pe 5*9315 %p8 2So88

6b *35* k%p7%n* ppu7kareaOecuppu7Sb

#RESTRESSED L'SSES

4 or k%p7%n*

H%ok -300 4&g *,53!! k$6t&8 1.0350 k$6t&8/ 9.3,0 k$6tec 11309 %nI 55,.3!, %n!Ic 1*5*.3*, %n!+bc *13-. %n+b8 *030! %n6b3re/ 13-* k%p7%n*

13ITERATI'N *3ITERATI'NEkr8 !*!-355 Ekr8 .0031. Ekr8H%ok 0300 H%ok ,3-9 H%ok#% ,,13! #% ,153- #%6cgp *30. 6cgp 13-9 6cgp

13.9 1!3!1-300 -30003!* 03!*

*1390 193,,*355 *3,1

H%ok .3! N' H%ok .3.5 N' H%ok#% ,1*3*, #% ,10315 #%6cgp 13-. 6cgp 13-, 6cgp

1*3!5 1!3!1193!- 193-

*3-, *3,H%ok ,3-5 N' H%ok .3., ' H%ok#% ,1,31! #% ,1031* #%6cgp 13-9 6cgp 13-, 6cgp

1*35, 1!3*193,. 193-

*3- *3,5

H%ok ,3-9 N' H%ok .3,. N' H%ok 6p% 139. 6p% 15355 6p%#% ,153- #% ,103,. #%

!30, !!3*,*13*5 4 *13-! 4

6 pT 6 pES O 6 pSR O 6 p(R O 6 pR*

6 pES 6 pES 6 pES 6 pSR 6 pSR 6 pSR 6 c/p 6 c/p 6 c/p 6 p(R 6 p(R 6 p(R 6 pR* 6 pR* 6 pR*

6 pES 6 pES 6 pES 6 p(R 6 p(R 6 p(R 6 pR* 6 pR* 6 pR*

6 pES 6 pES 6 pES 6 p(R 6 p(R 6 p(R 6 pR* 6 pR* 6 pR*

`6pT `6pT `6pT`6pTM4 `6pTM4 `6pTM4


67/132

6pe 159359 d 195 ' 6pe 15-39 d 195 ' 6pe#pe 5*03-- #pe 51,39- #pe6b *3!- K 13-* ' 6b *3!, K 13-* ' 6b6t38r)I3 0390 150*3, 6t3E#O#R 0391 *01*39 6t3E#O#R6t3tr38r)I3 13** *0!3*- 6t3E#O#RO 03.. 19031 6t3E#O#RO6t38r)I32D# 031, *.139 6t3E#O#ROTR 13** *0!13, 6t3E#O#ROTR6t3tr38r)I32D# *311 519350 6b63SIII 031- 90.3! 6b63SIII

6t%32D# 6t%32D# 031. *-13, 6t%32D#6b%32D# 6b%32D# *309 !.-3, 6b%32D#6t%3END 6t%3END $03,9 $11!!35 6t%3END:B%3END :B%3END *390 !-!030 :B%3END

&%N *.139 &%N $11!!35&A 51935 &A !-!030

6Cc%3re/3m%n $1155359 k%p7%n16Cc%3re/3ma !--.30 k%p7%n*Ekr83re/ !,031. k%p7%n*

#RESTRESSED L'SSESEa8t%c Shorten%ng

#% ,1,3,0 %p8 2SSareaM1$)%ok71006p%71000I 55,.3!, %n!&g *,53!! k$6tec 11309 %n

503-- %n*6cgp 13-9 k%p7%n* #%7kareaO#%ecQ*7I$&gec7I1*E8tr *-*.5300 k%p7%n*Ekr8 !,031. k%p7%n*

1*3*5 k%p7%n* E8tr7Ekr86cgp

Shr%nkage

R2 ,0300 4-300 k%p7%n* 1.$015R2

(reep o6 (oncrete

&8 1.0350 k$6t&SDL 9.3,0 k$6t

+bc *13-. %n+b8 *030! %n o88$ecI 55,.3!, %n!Ic 1*5*.3*, %n!

03!* k%p7%n* &81*ec7IO&8/1*M+bc$+b8u7Ic193,9 k%p7%n* 1*6cgp$.D6ctp

Reaat%on a6ter Tran86er

&8 1.0350 k$6t&SDL 9.3,0 k$6t+bc *13-. %n

6p% *0*,!,3-5 b67%n*2S 1. &g *,53!! k$6t

*3-,* k%p7%n* 0M*0$0!D6pES$0*MD6pSROD6p(Rarea 503-- %n*

6 pES

area

6 pES

6 pSR

6 pSR

6 p(R

6 c/p 6 p(R

6 pR*

6 pR*


68/132

Ekr8 !,031. k8%E8tr *-*.5300 k8%ec 11309 %n

03!* k8%-300 k8%

`6p Tota Lo88e8 at Ser)%ce Loa/8

I#Lo88 ,3.- 4 MD6pESO05D6pR*X10076p%!*3-0 k%p7%n**131* 4 D6pTk8%10076p%

6pe 1593.-, k%p7%n*

#pe 5*13. k%p8 2SSarea6pe%

STRESS S&&AR^

6 Cc%3current !--.30 b67%n*03,6Cc% *39** k%p7%n*0309!-f6Cc% ,3,f

Stre88e8 at Beam En/

ec 11309 %nec% 11309 %n#% ,1,3,0 k%p8

top 6t% $03,9 k%p7%n* #%%7karea$#%%ec%7St

bottom 6b% *39** k%p7%n* #%%7kareaO#%%ec%7St

Stre88e8 at Tran86er Length Sect%on

Ltran *3-0 6t Scap,071*&tran !-309 k$6t 05Gk%r%8LtranMLk$(5571000et 11309 %n ec$Mec$ec%MLharp$Ltran7Lharp

top 6t $035. k%p7%n* #%%7karea$et#%%7StO&tran1*7St

bottom 6b *3.-*. k%p7%n* #%%7karea$et#%%7StO&tran1*7St

Stre88e8 at 2arp po%nt8

eharb 11309 %n ec

Lharb *.3,* 6t 0!5Lhe8apLharb *-3.. 6t LharpOMLbeam$Lhe8ap7*&harp *-30* k$6t 05Gk%r%8LharppoMLbeam$(5,,71000

top 6t 03**- k%p7%n* #%%7karea$eharp#%%7StO(5,.1*7St

6 ctp 6 pSR

6 pT 6 pES O 6 pSR O 6 p(R O 6 pR* 6 pT4


69/132

bottom 6b *305*5 k%p7%n* #%%7kareaOeharp#%%7Sb$&harp1*7Sb

Stre88e8 at &%/8pan

ec 11309 %n&orta *-53,.5- k$6t 05Gk%r%8MLbeam7*Q*71000

top 6t 03*. k%p7%n* #%%7karea$ec#%%7StO&orta1*7St

bottom 6b *30!!* k%p7%n* #%%7kareaOec#%%7Sb$&orta1*7Sb

contro $ 6t$top 03,*f6Cc% 6b$bot3po%nt ()t* Mk8% $13.. Mk8%

Beam3en/ +.++ $03,9 ' *39*Ltran86er 2.#+ $035. ' *3.-

2arp3#o%nt 2!."2 03**- ' *305*&%/Span 3+."9 03*. ' *30!!

(oncrete Stre88e8 at Ser)%ce Loa/8Ao"abe Stre88 L%m%t8

M6Cc3current =6Cc%3current6 Cc3current !--.30 b67%n* preca8t beam6 Cc ,*5 b67%n* 8ab

compre88%onDue to MEJect%)e pre8tre88 O permanent oa/8 6or oa/ comb%nat%on 8er)%ce I03!56Cc *3*0 k%p7%n* preca8t beam03!56Cc 13, k%p7%n* 8ab

Due to MeJect%)e pre8tre88 O permanent oa/8 O tran8%ent oa/8 6or oa/ co03!6Cc 1395 k%p7%n* preca8t beam

Due to permanent an/ tran8%ent oa/8 6or oa/ comb%nat%on Ser)%ce I03,6Cc *39 k%p7%n* preca8t beam03,6Cc *31- k%p7%n* 8ab

ten8%on

:or component8 "%th bon/e/ pre8tre88%ng ten/on8 6or oa/ comb%nat%on Ser)%$019f6Cc $03!*0 k%p7%n* preca8t beam

Stre88e8 at &%/8pan

(oncrete 8tre88e8 at top _ber o6 the beam The compre88%)e 8tre88e8 are checke/ 6or t"o ca8e8

13 EJect%)e pre8tre88 O permanent oa/8 Ser)%ce I

6t 0390 k%p7%n* preca8t beam

*3 MEJect%)e pre8tre88 O permanent oa/8 O tran8%ent oa/8 Ser)%ce I

6t 03.. k%p7%n* preca8t beam

3 n/er permanent an/ tran8%ent oa/8 Ser)%ce I


70/132

6t 13** k%p7%n* preca8t beamStre88e8 at the top o6 the /eck

13 n/er permanent oa/8 Ser)%ce I

6tc 031. k%p7%n* 8ab

*3 n/er permanent an/ tran8%ent oa/8 Ser)%ce I

6tc 03.-5 k%p7%n* 8ab

(oncrete 8tre88e8 at bottom _ber o6 the beam Ser)%ce III

6b 03*0! k%p7%n* preca8t beam

:ATIGE

6t 039 k%p7%n*

Jat 03* k%p7%n*

&IDS#AN SLAB T'# LI:T BEA& T'# LI:T#ermanent tota oa/ #ermanent tota oa/

M6t Mk8% Mk8% Mk8% Mk8%03,9 031! 03.- 0390 13**

' ' ' ' STRENGT2 LI&IT STATE [L

8er)%ce I = 1300 M D(ODF O 1300 M LLOI& 8er)%ce III = 1300 M D(ODF O 03-0 M LLOI& 8trength I ma3 = 13*5 M D( O 1350 M DF O 13.5 M LLOI&

m%n3 = 0390 M D( O 03,5 M DF O 13.5 M LLOI& 6at%gue = 03.5 M LLOI& &u 13*5D( O 135DF O 13.5LLOI&

13*5D( &g *,53!! k$6t&8 1.0350 k$6t&barr *.39* k$6t

135DF &" ,93,9 k$6t13.5LLOI& & 1**39! k$6t

&t .3* k$6t

&u 1!-93-1 k$6t6pu *.03*0 k%p7%n* 6pu71000

6pe 1593.9 k%p7%n* 6peK056puk 03*- *M10!$6p+76pu

/p !30. %n hc$+b81 03-5Ap8 3*, %n* 2SSareaA8 *31- %n*A8C 13-. %n*b !31 %n S1*6Cc 3, k%p7%n* 6cu710006+ ,0390 k%p7%n* 6+71000

6+C ,0390 k%p7%n* 6+71001c = MAp86puOA86+$A8u6+u7M0-5bt%6cubXOkAp86pu7/b

c .3!. %n c d t8a ,35 %n 1c a d t86p8 *53,* k%p7%n* 6puM1$kcX7/b71000


71/132

Nom%na eura re8%8tance&n *11315 k%p$6t Ap86p8M/p$a7*71*i 1300 re8%8tance 6actor&r *11315 k%p$6t &r K &u

LI&ITS ': REIN:'R(E&ENT

&Ac7/c ] 03!*/c *93!9 %n MAp86p8/pOA86+17MAp86p8OA86+c7/c 03*5 c7/c ] 03!*

&IN(heck at m%/8pan6r 035 k%p7%n* 0*!M6uc%X71000Q05#pe 5*13. k%p8ec 11309 %n6pe *3!- k%p7%n* #pe7kareaO#peec7Sb

&/$nc !5395 k%p$6t &gO&8&cr 1*.*3!9 k%p$6t M6rO6peXSbc71*$&/ncMSbc7Sb$1Sc6r *1531, k%p$6t Sbc6r Sc6r K &cr

&u 1--93!. k%p$6t M1O2I&&u &u K 13*&cr

&r *11315 k%p$6t &r K 13*&cr

S2EAR DESIGN

barr%er "ea38ur63 beam 8ab truck"e%ght "e%ght "e%ght "e%ght oa/

7L &barr &" &g &8 &6t3 k$6t k$6t k$6t k$6t k$6t0300 03000 0300 0300 0300 0300 030031 03051 53!0 13!9 5139 301 1!03--350 0305. ,300 1!39- 5.30. ,3,, 15,3*!3,0 03100 .3.5 193! .3,, !.31 *013*1,31! 03*00 10305 *5309 9535, ,13- *,03001*3*- 0300 1.3-. !!3,0 1,93-- 10931* !53.51-3!* 03!00 *3!5 5-35! ***39. 1!3** ,01355*!355 03!*5 *,3-0 ,,390 *5!3-* 1,3,- ,-!3.,*.3,* 03!50 *.3,! ,-399 *,*3.9 1,-3-0 ,9-3!*03,9 03500 *.39* ,93,9 *,53!! 1.0350 ,93!5

7L 0 0051L 005.L 01L 0*L&g 0300 5139 5.30. .3,, 9535,&8 0300 301 ,3,, !.31 ,13-

&barr 0300 53!0 ,300 .3.5 10305


72/132

&" 0300 13!9 1!39- 193! *5309&t 0300 ,-30! .5350 9.31- 1*535.& 0300 *3-0 *,3! !31* !!3*, 0300 *93*1 *535* !193,. 5!35.


7L Hbarr H" Hg H8 H6t3 k%p8 k%p8 k%p8 k%p8 k%p80300 03000 13-* !35! 1.30 11311 513931 03051 13, !30- 1535 939- !-30350 0305. 13,1 !30* 153 93-! !.39!3,0 03100 1355 3-, 1!3.0 93!! !,3-!,31! 03*00 13!, 3, 13-! -3-9 !53*1*3*- 0300 1309 *3.* 103- ,3,. 93*51-3!* 03!00 03. 13-* ,39* !3!! 31-*!355 03!*5 03, 0391 3!, *3** *.311*.3,* 03!50 031- 03!5 13. 1311 *!30-03,9 03500 0300 0300 0300 0300 *130!

7L 0 0051L 005.L 01L 0*LHg 1.30 1535 153 1!3.0 13-!H8 11311 939- 93-! 93!! -3-9

Hbarr 13-* 13, 13,1 1355 13!,H" !35! !30- !30* 3-, 3,Ht 1395 030* *93.9 *931* *-31.H 1031 93*9 931. -3-* -35 11-35! 10-3- 10.3.0 10!30 99359

(r%t%ca 8ect%on near the 8upport8 %8 the greater o6b) .3-. %na ,35 %n03.*h *,39 %n/c !30. %n hc$+b8en/039/c 03,, %n/) 03-9 %n /c$05a /) 03.*h

/) 039/c

Hc = 0301, f 6Cc b) /)

A8h 3*, %n* M2S$hh8Sarea

6po *0*3,5 k%p7%n*+ht 0300 %n+b8en/ 3 %nhb *935 %n Lbeam7*$MLhe8ap05$Lhe8ap0!52De *-3.. 6t ATANMMhb$+ht$+b8en/71*72Dej 030.5. ra/ #pe72Shh8S%NMk%8%Hp 0300 k%p8 #pe72Shh8S%NMk%8%Nu 0300 k%p8Ac 0.309 %n* %+%OM%O%%%7*+%%O%%%Mhc7*$+%$+%% 0390Lem 113-1 %nEc !,031. k%p7%n*


73/132

0051L 005.L 01L 0*LY *3000 1935-5 193.90 *03055035/)3cotY ,391 !3!1. !*390 !*31kpo !*3*9, !93** !-3-5 !-3*1-&u *93*0- *53515 !193,. 5!35.0Hu 10-3- 10.3,9, 10!3*9, 99359*l $03001 $03001 $03001 $03001l $030001! $030001 $030001* $0300011u 03!9. 03!9* 03!., 03!55 0310*l $031!0 $031*- $0311- $03105u76Cc 0310* 03101 0309. 0309 350! 351* 3!-! 351!

Hu /) *-031-- *..3*, *,-350- *5,399&u Hu /) ' ' ' '

L/eerEter0lat/

7L 01Lm%n 3!-Hc 593*1 k%p8 001,BettaM6uc%X71000Q05b)/)

Hu 10!30 k%p8 Hu K 035 i MHc O Hp

Y )e tabe

Y e d 10u76Cc $03* $031 $0305 0 031*5 03*5030.5 **3*0 *03!0 *1300 *13-0 *!30 *,3,0

031 1-310 *03!0 *13!0 **350 *!390 *.310031*5 19390 *1390 **3-0 *3.0 *5390 *.3900315 *13,0 *30 *!3*0 *5300 *,390 *-3-0031.5 *3*0 *!3.0 *5350 *,3*0 *-300 *93.0

03* *!3.0 *,310 *,3.0 *.3!0 *9300 03,003**5 *,310 *.30 *.390 *-350 0300 03-003*5 *.350 *-3,0 *9310 *93.0 03,0 130

e d 10u76Cc $03* $031 $0305 0 031*5 03*5030.5 ,3* !3.5 !310 3.5 3*! *39!

031 3.9 3- 3*! 31! *391 *3.5031*5 31- *399 *39! *3-. *3.! *3,*0315 *3-- *3.9 *3.- *3.* *3,0 *35*031.5 *3. *3,, *3,5 *3,0 *35* *3!!

03* *3, *359 *35* *351 *3! *3.03**5 *35 *3!5 *3!* *3!0 *3! *31!

03*5 *39 *39 *3 *3 *31* 139

L%neer Enterpoat%on ^* = M*$1%nterpoat%on 1

005.L $03*00 $031!0 $03100 $03*00


74/132

* 03100 3.90 35!5 3-0 1-31000310* 351* 1-3**!

031*5 31-0 30,. *3990 193900

%nterpoat%on 101L $03*00 $031*- $03100 $03*00

* 03100 3.90 3!9, 3-0 1-3100

03101 3!-! 1-31!. 031*5 31-0 30!! *3990 193900

%nterpoat%on 10*L $03*00 $0311- $03100 $03*00

1 030.5 ,3*0 530. !3.50 **3*000309. 351! 1-351

* 03100 31-0 3! 3-0 1-3100

STIRR# (AL(LATI'N

Hu7i ] Hc O H8 O HpH8 5,3,. k%p8 Hu7V$Hc$HpH8 = A) 6+ /) McotYOcot 8%n 7 8 90300 /rccot 0300

8%n 1300Y 193.9 /rccot Y *3.-

8t%rrup 8 = 150 mm8pac%ng 8 = 5390, %n

A) 030,! %n*76t 8XH87M6+71000/)Mcot'OcotA8%nA8pac%ng contro031*56Cc 03,1 k%p7%n*Hu 0310 k%p7%n*%6 Hu d 031*5 6Cc then

8ma m%n 03-/) *!

03-/) *!3.* %n8ma *!300 %n


75/132

%6 Hu 031*5 6Cc then

8ma m%n 03!/) 1*

03!/) 1*3, %n8ma 1*300 %n

Hu d 031*5 6Cc8ma *!300 %n

8 5390, %nA)38e 031-* %n*76t *#%M(9*!Q*7! 03

H8 1,131- k%p8 A)X6+71000/)cot'78X

m%n3 8hear re%n6orcement controA)m%n = 0301,f 6Cc b) 8 76+

A)m%n 0305 03

ma3 8hear re%n6orcement controHu7i ] Hn = Hc O H8 O Hp ==K Hc O H8 ] 03*5 6Cc b) /)

Hn = 03*5 6Cc b) /)

03*5 6Cc b) /) *9.3*0 k%p8

Hc O H8 1153-- k%p8 ] 0

6actore/ 8hear 6orce

Hh=Hu7/)

01L po%nt 8trength I

STIRR# (AL(LATI'N

01Lk%p8

Hbarr 1355H" 3-,

HLT *931*HLL -3-*Hu .!311 1*5HbarrO15H"O1.5MHLTOHLL

Hh *3!0 k%p87%n

reu%re/ m%n3 Stre88e8

Hn = Hu7i

Hn *3,. k%p7%n

(ontr ut on o Re n orcement to Nom na S ear Re8 8tance

Hn = c Ac) O A)6 6+ O#c

c 030.5


76/132

03,00b)t *935 %nAc) *935 %n*#c 03006+ ,0390 k%p7%n*A)6 0315 %n*76t

A)6C 13.5 %n*76t e%8t%ng =K *5 Y1*m%nA)6

0305b) 76+ 03*9 %n*76t A)6

Hnp .355 k%p87%n

0*6Cc Ac) *13!1 k%p87%n Hn

03- Ac) *3,* k%p87%n H

ADDITI'NAL L'NGITDINAL REIN:'R(E&ENT REIRE&ENT

barr%er "ea38ur63 beam 8ab truck

"e%ght "e%ght "e%ght "e%ght oa/ 7L &barr &" &g &8 &6t3 k$6t k$6t k$6t k$6t k$6t03!9 03000 03-9 *3** -3!! 53!* *3*9


7L Hbarr H" Hg H8 H6t3 k%p8 k%p8 k%p8 k%p8 k%p803!9 03000 13.9 !3!. 1.30* 1039 50391

7L 03!9 7L 03!9

Hg 1.30* &g -3!!H8 1039 &8 53!*

Hbarr 13.9 &barr 03-9H" !3!. &" *3**Ht 13,! &t 113*5


77/132

H 10315 & 391 11.301 !-30

1*5MHgOH8OHbarrO15H"O1.5MHtOH 1*5M&gO&8O&barrO15

A8 6+ O Ap8 6p8 &u 7 /) i O 035 Nu7i OHu7i $035 H8 $Hp cot Y

Lbear%ng 113-1 %n

en/ o6 beam 03!9 6tcot Y *3.-i 0390Nu 0300&u !-30 k%p$6tHu 11.301 k%p8H8 1,131- k%p8Hp 0300 k%p8/) 03-9 %neh 0300 %n+b8en/ 3 %nA8 *31- %n*

6+ ,0390 k%p7%n*Ltran86er *3-0 6t

r%ght 15-3*0 k%p8 &u 7 /) i O 035 Nu7i OHu7i $035 H8 $Hp cote6t *.,355 k%p8 0OS2SSarea6pe%MehO+b8en/cot'7MLtran86

#RETENSI'NED AN(2'RAGE 'NE

m%n3 Hert%ca re%n6orcement68 *0300 k%p7%n*6p% ,,13! k%p8#r = 4! 6p% *,3!, k%p8 #r = 683A8 030! 6p%A8ea 13* %n*76tme8a6e 935 %n hc7!8C *3., %n

A8eaC 13!0 %n*76t 13

REIN:'R(E&ENT DRAFING

Top 6ace o6 the beamMcompre8 ,

Bottom 6ace o6 the beamMten8%q .

Shear re%n6orcement %n the bo *5


78/132

St%rrup8 %n the m%//e o6 the beam A8e St%rrup8 at the beam A8eC

sv sv

Y1* 7.0 Y-

DE:LE(TI'N AND (A&BER(A&BER (AL(LATI'N w#% ,1,3,0 k%p8Ec !*!-355 k%p7%n*ec 11309 %n+b8 3 %na *-3.. 6tL ,13- 6tI 55,.3!, %n!

cam 13!0 %n w #pe7Ekr8g7IMecMLbeam1*Q*7-$Mec$+b8MLh

DE:LE(TI'NS (AL(LATI'N xDeect%on /ue to "ear%ng 8ur6ace "e%ght at m%/8pan ODeect%on /ue to barr%er "e%ght at m%/8panGb" 03*1 k%p876t


79/132

Ec% !,031. k%p7%n*Ic 1*5*.3*, %n!L ,13- 6t

b" 03115 %n x 5MDb"71*MLhe8ap1*Q!7M-!Ekr8gIc

Deect%on at m%/8pan /ue to 8ab "e%ght

Gtab 03, k%p876tEc% !,031. k%p7%n*I 55,.3!, %n!L ,13- 6t

tab 03!., %n x 5MDtab71*MLhe8ap1*Q!7M-!Ekr8gI

Deect%on /ue to beam "e%ght at m%/8panGbeam 035,! k%p876tEc% !,031. k%p7%n*Ic 55,.3!, %n!L ,13- 6t

beam 03.!* %n x 5MD"ear71*MLhe8ap1*Q!7M-!Ekr8gI

Deect%on /ue to ane8 oa/ at m%/8panD:& 03-1 NL7NbL8eh%m 03*, k%p76t7beam

031!! %n x 5MD:&ane871*MLhe8ap1*Q!7M-!Ekr8

Deect%on /ue to truck O I& oa/ at m%/8pan&LT .3*

031. %n x 5MD"ear71*MLhe8ap1*Q!7M-!Ekr8gI

cam $53,mm b" *39mm tab 1*31mm beam 1-3-mm ane8 3.mm arac -30mm` ,3mmM ma3

L7-00 *39 039* x

UNITS

S SI 0 SI S1 %n3 *5! mm d=K 1 mm 009! %n31 %n3* ,!5* mm* d=K 1 mm* 000* %n3*

1 6t3 005 m d=K 1 m *.9 6t31 6t3* 009 m* d=K 1 m* 10.5 6t3*1 p8% 000,-95 a d=K 1 a 1!505 p8%1 k8% ,-95 a d=K 1 a 01!5 k8%1 k%p !!!- kN d=K 1 kN 0**5 k%p

ane8

arac


80/132

1 6t$k%p 15, kN$m d=K 1 kN$m 0.. 6t$k%p1 b 000!!!- kN d=K 1 kN **!-* b1 k%p 1000 b d=K 1 b 0001 k%p1 n 1000 N d=K 1 N 0001 kN1 b76t 001!59 kN7m d=K 1 kN7m ,-5! b76t


81/132

AASHTO LRD ;;5

,!301 6t153.5 %n

139. %n113-1 %n,13- 6t

,3,- 6t

!,3*, 6t039- 6t,35, 6t3,1 6t315 %n.3-. %n0300 %n0300 %n

1300 %n

39! %n!39* %n0300 %n

113-1 %n*395 %n5391 %n

*935 %n*935 %n

.3-. %n0300 %n

0

*50

!00a =


82/132

15*39 pc6

5-0030 p8%!,!030 p8%03!5- p8%

!*!-35 k8%5,3, 6t3/e b

,*530 p8%

.553* k8%

,0900 p8%*9000 k8%

13-. %n**31- %n*13.5 %n*031- %n*76t035 %n*

035,1 %n0319* %n*

*.019, p8%*-*.5 k8%

*!1.,3* p8%*0*,!,3- p8%19!5!130 p8%

*,30 b 76t1!030 pc6

:at%gue,3. k%p*.30 k%p*.30 k%p1!31 6t


83/132

*-3* 6t

0315

RESSED STRANDS

● ● ● ● ● ●

● ● ● ● ● ● ●

' ' '

93-* 6t

1-39. 6t

-3!, 6t

-3!, 6t


84/132

*5!, mm

%n*%n%n!

%n*%n


85/132

%n!

1!3! %n1531 %n*935 %n

5039 %n*55,.35 %n!-,035 %n,-535 %n

M%n!-351EO0!0300EO00!3.!EO0!13EO05

03--1-!315 %n

!31 %n

1093*5 %n-3*- %n

013!0 %n*-.13-- %n*

.3!0 %n

I8trOAD+*


86/132

1*5*. %n!*13-. %n

.3,, %n1535 %n

,059395 %n1.053*5 %n

9,53* %n

[LRFD Art. 3.3.2]

[LRFD Art. 4.".2.2.1]

D(&

k$6t0300-!3!093.

1*039.15,39!*.9300,,319!1-351!1359!5395+*3.=3

DF&

k$6t03001-390*0399*.309531!,*3!.-139993.09,3,9.3,0=5.0;


87/132

[LRFD Art. 3.".1.2.1]

[LRFD Art. 3.".1.1.1]

' ' ' ' '

[LRFD Table 5.4.4.1-1]

31031

[LRFD Table 4.".2.2.3a-1]

[LRFD Table 3.".2.1-1]

:at%gue,3.! k%p

*,39- k%p*,39- k%p1!31* 6t*-3*! 6t

0315


88/132

03,9


89/132

[LRFD Art. 5.9.4.2b]

pan to the bottom o6 the beam


90/132

] 13-*

[LRFD Eq. 5.9.5.1-1]

3ITERATI'N!9315

.3,.,103,.

13-,1*315

-30003!*

193!0*390

,3.1 N',1.30,13-9

1*3*193.*

*3-,,3.- N'

,1,35,13-9

1*30193,9

*3-,

,3.- ' 13.!,1,3,0!*3-,*1315 4


91/132

1593.9 d 195 ' 5*135!

*3!- K 13-* ' 0390 *0013503.. 19*3.13** *03103*0 11.3,

031, *.035*31* 5*53,$03,9 $11553,*39 !--.3019

&%N $11553,&A !--.30

[LRFD Art. 5.9.5.2.3a]

[LRFD Eq. 5.9.5.4.2-1]

[LRFD Eq. 5.9.5.4.3-1]

[LRFD Eq. 5.9.5.1-1]


92/132

[LRFD Eq. 5.9.5.1-1]

[LRFD Art. 5.9.4]

] 03,06Cc%3re/3

] *39** '

] *39** '

[LRFD Art. 5.#.2.3]

] 03,06Cc%3re/3

] *39** '

] *39** '

] 03,06Cc%3re/3

] *39** '


93/132

] *39** '

] 03,06Cc%3re/3

] *39** '

] *39** '

03,6Cc%*39*' '

' '

[LRFD Art. 5.9.4.2]

mb3 Ser)%ce I

e III

] 03!56Cc%3re/3

] *3* '

] 03!06Cc%3re/3

] 1395 '

] 03,06Cc%3re/3


94/132

] *39 '

] 03!56Cc%3re/3

] 13, '

] 03,06Cc%3re/3

] *31- '

] $019f6Cc3re/3

] $03!* '

] 039 '

BEA& B'T38er)%ce III

Mk8%03*0'

RFD Table 3.4.1-1 , 2]

K 1531 ' [LRFD Eq. 5.!.3.1.1-1]

[LRFD Table C5.!.3.1.1-1]

[LRFD Art. 5.!.2.2]

] .3-. ' ] .3-. '

[LRFD Eq. 5.!.3.1.1-1]


95/132

[LRFD Art. 5.!.3.2.3]

[LRFD Eq. 5.!.3.2.2-1]

[LRFD Art. 5.5.4.2.1]

K 1!-93-1 '

[LRFD Art. 5.!.3.3.1]

[LRFD Eq. 5.!.3.3.1-1]

[LRFD Eq. 5.!.3.3.1-2]

] 03!* '

[LRFD Art. 5.!.3.3.2]

[LRFD Art. 5.4.2."]

[LRFD Eq. 5.!.3.3.2-1]

K 1*.* '

K 15*, '

K 15*, '

truck ane8I& oa/

&LT &LLk$6t k$6t0300 0300,-30! *3-0.5350 *,3!9.31- !31*

1*535. !!3*,*19315 .-3,-*9035 103*.03.* 11-30*.3* 1*13.1!39* 1**39!


96/132

truck ane8I& oa/

k%p8 k%p81395 1031030* 93*9*93.9 931.*931* -3-**-31. -35*!3!0 ,3,0*03, 53051,3-5 3.11!39. 31*130- *35-

[LRFD Art. 5.#.3.2]

[LRFD Art. 5.#.2.9]

[LRFD Art. 5.!.3.3.1]

*, ' 0 '

[LRFD Eq. 5.#.3.3.-3]

HLT HLL


97/132

[LRFD Table. 5.#.3.4.2-1]

$031!0

[LRFD Eq. 5.#.2.4.2-1]

al. eta/l e 6 table ,ee

[LRFD Art. 5.#.2.4-1]

K *, '

LRFD Table. 5.#.3.4.2-1]

035 10350 ,3!003-0 ,3.013!0 .300*310 .30*3.0 ,3-0

*3-0 ,310*30 53.0*3-0 53-0

035 1*359 *3**350 *31-*3!* *31*3, *30-*3*- 139,*31! 13.913-, 13,!

13.0 1350

^$^1 7 M$1 O ^1Y *$031!0 $03100


98/132

*03!001935-5 *0350

*13900

Y *$031*- $03100

*03!00

193.90 *03!9*13900

Y *$0311- $03100

*03!00*03055 *03!00

*03!00

[LRFD Eq. 5.#.3.3-1]

[LRFD Eq. 5.#.3.3-4]

[LRFD Art. 5.#.2.!]

[LRFD Eq. 5.#.2.!-1]


99/132

[LRFD Eq. 5.#.2.!-2]

[LRFD Eq. 5.#.2.!-1]

8 ] 8ma ' 1-*K 030,! '

[LRFD Art. 5.#.2.5]

[LRFD Eq. 5.#.2.5-1]

05d 031-* '

[LRFD Eq. 5.#.3.3-2]

3*5 6Cc b) /) '

[LRFD Art. 5.#.4]

[LRFD Eq. C5.#.4.1-1]

[LRFD Eq. 5.#.4.1-1]

[LRFD Art. 5.#.4.2]


100/132

13.5 K 0315 ' [LRFD Eq. 5.#.4.1-4]

0305 b) 7 6+ '

03* 6Cc Ac)

n ] 03- Ac) '

truck ane8

I& oa/&LT &LLk$6t k$6t

113*5 391

truck ane8I& oa/

k%p8 k%p813,! 10315

HLT HLL


101/132

"O1.5M&tO&

[LRFD Art. 5.#.3.5]

er1* '

[LRFD Art. 5.1+.1+]

[LRFD Art. 5.1+.1+.1]

0* K 13* '

%on A8CY1,

n A8Y1,

+ A8gY1*


102/132


103/132

I

$13!0 %n w0311 %n x03!- %n x03.! %n x031! %n x03* %n x03*5 %n x

L7-00 K ` '


104/132


105/132


LOCATION…...……....: BEYLiKDUZU-ISTANBUL

REGULATION……......: ELASTOMERIC BEARING DESIGN

S>('? !8" ?!'@i! i81' "!'! :

Epan/abe 8pan ength L8 =

(on8tant amp%tu/e 6at%gue thre8ho/ 6or (ategor+ A

Ea8tomer har/ne88 28hore =

Shear mo/uu8 o6 ea8tomer y M0,- $ 09 SELE(T z G =

Stee re%n6orcement +%e/ 8trength 6+ =

#a/ ength Mbr%/ge ong%tu/%na /%rect%on Lpa/ =

#a/ "%/th Mbr%/ge tran8)er8e /%rect%on Fpa/ =

Ea8tomer co)er th%ckne88 hc =

Ea8tomer %nterna a+er th%ckne88 hr% =

Number o6 8tee re%n6orcement a+er8 N8t =

Stee re%n6orcement th%ckne88 h8 =

∆:t =


106/132

S>('? !8" ?!'@i! $1'1' "!'! :

Ea8tomer creep /eect%on at *5 +ear8 /%)%/e/ b+ the %n8tantaneou8 /eect%on (/ =Number o6 ea8tomer %nterna a+er8 Ne =

tota ea8tomer th%ckne88 hrt = Tota 8tee pate he%gth h8t = Tota bear%ng he%gth ht =Bear%ng 8ur6ace area Area =C& N(' ),+.5.0., :

N8t = , N8t K * %8ehc = *35

03.0 hr% = 53, hc ] 03.0 hr%

C$?1' S! !&'$@ ),+.5.3.,-, :

S%nt = 93.5 S% = L3F 7 M*3hr%3MLOFSco) = 0 S% = L3F 7 M*3hc3MLOF

S = 93.5 S=m%nMS%ntSco)

C& C$?@((i S'@(( ),+.5.3.*. :

DL8 = 10, kN DL react%on7g%r/erLL8 = 111 kN LL react%on 7g%r/er{8 = *3!11111 a {8 = MDL8OLL8 7Area{L = 13* a {L = LL8 7 Area

78ear e)rat/: -;E7- (14.!.5.3.2-2* <

13,, G3S 103-9.5 &pa {8 ] 1,, G3S03,, G3S !31*5 &pa {8 ] 11

{L ] 0,, G3S78ear e)rat/: -NO- (14.!.5.3.2-4* <

G3S = ,35,*5 &pa {8 ] * G3S*G3S = 131*5 &pa {8 ] 1*

{L ] G3S

C& C$?@((i D&'i$8 ),+.5.3.*.* :

l% = 030*,,* /urometer 50 ,0 .0|L% = 03*1*9, mm ( 03019,, 030151 03011,9|Lt = 1319.919 mm 03*--*1 03*,*9*1 03*-!-0,

|cr = 0300,,55 mm 030*,,* 0301*-.9 03009..513*0!5.! mm030. hr% = 035, mm |L% ] 030. hr%

l% = (σQΣ| =


107/132

C& S!@ D$@?!'i$8 ),+.5.3.*.+ :

131.E$005t8et = *0}T = 13*

~co = !3.-1! mm ~co = 3 t8et 3 L8~8 = 53*5.,- mm

*3~8 = 10350.5! mm *3 ~co ] hrt

L8 = 1-.10 mmU8 = 0300 ra/3 (on8truct%on ToeranceU8\ = 0300 ra/3{8 = *3!11111 a

Ne = 5G3S = ,35,*5 &pa

n = ,Lch = 035 GS MLpa/7hr%Q* MU87n

Lch = *3,0,, &pa Lch ] {8Fch = 035 GS MFpa/7hr%Q* MU8\7n

Fch = *3,0,, &pa Fch ] {8

C& S'!Fii'> ),+.5.0.*.0 :

ht = , mm m%nLF=m%nMLpa/7 Fpa/7m%nLF = 100 mm ht ] m%nLF

C& Ri8$@&?8' ),+.5.0.*.5 :

hma = - mmh8% = 03*!1111 mm h8% = hr% {8 7 6+

h8% ] hmah8%% = 0311959, mm h8%% =* hr% {L 7 A6t

h8%% ] hma

α = 7°(°(

~8 = ~co 3 γ T

C& R$'!'i$8 $@ C$?Fi8" C$?@((i$8!8" R$'!'i$8 ),+.5.3.*.3 :


108/132


109/132

AASHTO LRD ;;5

METHOD B

1-.10 mm

1,5 &pa

50

03. &pa

*!0 &pa

00 mm

00 mm

*35 mm

- mm

,

mm


110/132

03*55

!5 mm1- mm, mm

90000 mm*

'

' ' '

' ' '

'


111/132

'

'

'

'

'

'


112/132


113/132

A(I Eng%neer%ng #age 11 0,70*7*01,

Metrication Conversion Guide for 318M and 318S

Note:

Based on IEEE/ASTM SI 10-2002 document

1a. LENGTH 1 in. 2!."0 mm

#u$es%2. &'an(e s)adin(% e*ui+a$ence num,e' o' AI 1M document.

in.-$, nits in.3

1/" 4.! 4." 4 / 5.! 5.! 10 1/2

12.60 1 1 !/ 1!. 14 14 /" 15.0! 15 20 6/ 22.2 22 221 2!."0 2! 2!

1 1/" 1.6! 2 01 1/2 .10 "01 /" ""."! "" "!

2 !0.0 !1 !02 1/2 4.!0 4" 4!

64.20 64 6! 1/2 .50 5 50

" 101.40 100 100! 126.00 10 12!

! 1/215.60 1"0

1"04 1!2."0 1!0 1!06 166.0 10 16!

6 1/2 150.!0 150 150 20.20 200 2005 22.40 20 20

5 /" 2"6.4! 2!0 2"!10 2!".00 2!0 2!011 265."0 20 2012 0".0 00 00

12.! 16.!0 20 1!1" !!.40 40 !014 "04."0 "10 "001 "!6.20 "40 "!020

!0.00 !10!00

2" 405.40 410 4002! 4!.00 4"0 4!0 642.00 640 6!04 51"."0 510 500

T)e +a$ues stated in eit)e' inc)-7ound o' SI units a'e to ,e 'e(a'ded se7a'ate$8 as standa'd. T)e +a$ues stated in eac) s8stem a'e not)e'eo'e; eac) s8stem must ,e used inde7endent$8 o t)e ot)e';


114/132

A(I Eng%neer%ng #age 11! 0,70*7*01,

1a. LENGTH C"NT#N$E%

in.-$, nits in.3 AI 1M nits m3

" 1.22 1.2 1.2!0 1.26 1. 1.!" 1.6 1." 1."40 1.!2 1.! 1.!62 1. 1. 1.

120 .0! .0 .0

1"" .44 .6 .61;200 0." 0 01;00 "!.62 "4 "4

1&. C'(C) *#%TH 1 in. 2!."0 mm

#u$e%

in.-$, nits in.3

0.012 0.0" 0.0 0.00.014 0."04" 0."1 0."1

1c. (GG'EG(TE S#+E

ASTM E 11

" " in. 100 mm 100 mm.! -1/2 in. 50 mm 50 mm in. 6! mm 6! mm

2.! 2-1/2 in. 4 mm 4 mm2 2 in. !0 mm !0 mm

1.! 1-1/2 in. 6.! mm 6.! mm1 1 in. 2!.0 mm 2!.0 mm

0.6! 6/ in. 22." mm 22." mm0.6!0 /" in. 15.0 mm 15.0 mm0.42! !/ in. 14.0 mm 14.0 mm0.!00 1/2 in. 12.! mm 12.! mm0.6! / in. 5.! mm 5.! mm0.2!0 1/" in. 4. mm 4. mm0.16 =o. " ".6! mm ".6! mm0.12 =o. 4 .! mm .! mm

0.056 =o. 2.4 mm 2.4 mm0.066 =o. 10 2.00 mm 2.00 mm0.0"45 =o. 14 1.1 mm 1.1 mm0.01 =o. 200.02" =o. 00.014! =o. "0

0.0116 =o. !00.0060 =o. 00.00!5 =o. 1000.0025 =o. 200

on+e'sion to SI nitsm3

E*ui+a$ent SI nitsm3

on+e't in. to mm usin( t)e acto' 25.! and 'ound to 2 si(niicant di(its.E9am7$e % 0.01 in. 0.01 9 2!."0 0.02 à use 0. mm

on+e'sion to SI nitsmm3

E*ui+a$ent SI nitsmm3

AI 1M nitsmm3

AI 1M nitsmm3 A77'o9. Si>e in.-$,

nits in.3=omenc$atu'e in.-

$, nits

Si>e and=omenc$atu'e a'e t)eSame SI nits

!0 µm !0 µm400 µm 400 µm"2! µm "2! µm

00 µm 00 µm10 µm 10 µm1!0 µm 1!0 µm6! µm 6! µm


115/132


1d. ('E( 0.05250

#u$e%

!;000 "4".!0 "40 "40

1e. ('E( ,E' $N#T LENGTH 2116

#u$e%

0.10 211.60 210 210

1f. -"L$ME 0.64"4

#u$e%

!0 .2 1!0 11".45 110 110

1. L"(%S 1 $, 0.00""" ?=

#u$e%

in.-$, nits $,3 AI 1M nits ?=3;000 1." 1 15;000 "0.0 "0 "0

10;000 ""." "" ""14;000 61.16 61 61

1/. L"(%S ,E' $N#T LENGTH 1 $, / t 0.01"!5 ?= / m

#u$e%

in.-$, nits $,/t3

200 2.51 2.5 .000 ".66 "." "."

1;!00 21.! 22 22;000 ".660 "" ""

1 t2 m2

on+e't ft2 to m2 usin( t)e acto' !.!020! and 'ound to 2 si(niicant di(its.T)e'eo'e !;000 t2 !;000 9 0.05250 "4".! à use "40 m2

in.-$, nits t23on+e'sion to SI nits

m23E*ui+a$ent SI nits

m23 AI 1M nits m23

1 in.2 / t mm2 / m

on+e't in2 ft to mm2 m usin( t)e acto' 211 and 'ound to 2 si(niicant di(its.T)e'eo'e % 0.10 in.2/t 0.10 9 2116 211.6 à use 210 mm2/m

in.-$, nits in.2/t3on+e'sion to SI nits

mm2/m3E*ui+a$ent SI nits

mm2/m3 AI 1M nits

mm2/m3

1 8d m

on+e't d3 to m3 usin( t)e acto' !.44 and 'ound to 2 si(niicant di(its.

E9am7$e % !0 8d !0 9 0.64"4 .2 à use m

in.-$, nits 8d3on+e'sion to SI nits

m3E*ui+a$ent in SI nits

m3 AI 1M nits m3

on+e't & to 6N usin( t)e acto' !.!!8 and 'ound to 2 si(niicant di(its.E9am7$e % 14;000 $, 14;000 9 0.00""" 61.16 à use 61 ?=

on+e'sion to SI nits?=3

E*ui+a$ent SI nits?=3

on+e't &ft to 6Nm usin( t)e acto' !.!150 and 'ound to 2 si(niicant di(its.E9am7$e % 1;!00 $,/t 1;!00 9 0.01"!5 21.5 à use 22 ?=/m

on+e'sion to SI nits?=/m3

E*ui+a$ent SI nits?=/m3

AI 1M nits?=/m3


116/132

A(I Eng%neer%ng #age 11, 0,70*7*01,

1i. ('E( L"(%S 1 7s 0.0"6

#u$e%

in.-$, nits 7s3

100 ".60 ". ".

2. TEM,E'(T$'E @e('ee -2C/1. @e('ee

#u$e%

Acco'din( to AI st8$e manua$; t)e de('ee s8m,o$ s)ou$d ,e used


117/132


118/132

A(I Eng%neer%ng #age 11- 0,70*7*01,

5. EM,#'#C(L E$(T#"NS "' C"NC'ETE *#TH M$LT#,L#E'S "

1/12.0" o' 0.00"

#u$e%

on+e'sion o common$8 used mu$ti7$ie's o %

in.-$, nits on+e'sion to SI nits E*ui+a$ent SI nits AI 1M nits

0.1 0.00 0.00 0.000.4 0.0"5 0.0!0 0.0!0

0.6! 0.042 0.042 0.0421 0.00 0.0 0.0

1.2! 0.10 0.10 0.101. 0.110" 0.11 0.111.6 0.1"12 0.1" 0.1"1.5 0.1!6 0.14 0.142 0.1441 0.16 0.16

2.44 0.2205 0.22 0.22 0.2"51 0.2! 0.2!

. 0.26"0 0.26 0.26

.! 0.2504 0.25 0.25" 0.22 0. 0.! 0."1!2 0."2 0."24 0."52 0.!0 0.!0

4.6 0.!!4" 0.!4 0.!46 0.!1 0.! 0.!

6.! 0.422 0.42 0.42 0.44" 0.44 0.4410 0.0" 0. 0.12 0.554! 1.0 1.01! 1.2"!4 1.2 1.214 1.24 1. 1.20 1.440 1.6 1.62! 2.0640 2.1 2.1

2.6"0 2.6 2.6"0 .214 . .!0 ".1!20 ".2 ".24! !.564 !." !."

100 .0"0 . .140 1.24" 1 1

!6000 "6.200 "600 "600

To con+e't t)e mu$ti7$ie's o use t)e acto' 112.!3 o' !.!83!C and 'ound to t


119/132


=ot inc$uded% A ! - 02; A 06 - 0"; A !00 - 0; A !01 - 01 A 1! - 02 and A "56 - 02 'ee' to A 2 A 1! - 02 and A "56 - 02 'ee' to A 2 A 66! - 01 and A 5" - 0 'ee' to A 41!; A 604; and A 554 A " - 02 'ee's to A 2; A 1!; A "54; and A "56

in.-$, nits ?si3 SI nits MHa3 in.-$, nits ?si3 SI nits MHa3

ASTM A 4/ A 4M - 0 H$ate; Ba' Summa'84 2!0 and S)a7es 4 2!0

ASTM A 2 - 02 # "0!4 ! "2 2504! "!0 "4 1!

60 "! !0 ASTM A 2"2/ A 2"2M - 0 H$ate; Ba' !! 0"2 250 and S)a7es !4 !

"4 1! 40

!0 60 "!

ASTM A "14/ A "14M - 02 St'and 6! !202!0 162! 1!0 10!260 140 2! 1420 ASTM A "21/ A "21M - 02 St'and 2"0 14!!2! 1420 2!0 162!2"0 14!! 260 1402!0 162!

ASTM A "54 - 02 # 1. ASTM is in t)e 7'ocess o 60 "! c)an(in( to 20.

ASTM A !62/ A !62M - 0 H$ate; Ba' 2. Stee$ 7$ate uses "! and conc'ete"2 250 and S)a7es 'eino'cement uses !0% se !0.

!0 . Stee$ 7$ate uses "1! and conc'ete!! 0 'eino'cement uses "20% se "20.

40

4! "!0 ASTM A !/ A !M - 0 H$ate; Ba' "2 250 and S)a7es"4 1!

!0

ASTM A 41!/ A 41!M - 0 #e,a' "0 2040 "206! !20

ASTM A 604/ A 604M - 0 #e,a' 40 "20

ASTM A 622/ A 622M - 5 #e,a' 1!0 10!

ASTM A 646/ A 646M - 00 #e,a' "0!0 !040 "206! !20

ASTM A 552/ A 552M - 0 H$ate; Ba'

!0 and S)a7es4! "!0

ASTM A 554/ A 554M - 0 #e,a' "0 20!0 !040 "20

4a. STEEL G'(%ES #N 'EE'ENCE% (STMs "' 'E#N"'C#NG ;('S< *EL%E% *#'E 'E#N"'CEMST'(N%S< (N% ST'$CT$'(L STEEL ,L(TES = SH(,ES

on+e'sion o 'eino'cin( stee$ ('ades 7e' (STMs isted in t/e 318: Minimum 8ie$d st'en(t)sC

2000C1

!0"!C2

"20"1!C

"! "

"! "

"1! " ". #ed +a$ues s)a$$ not ,e used.

"! "

00 "

"! "


120/132

A(I Eng%neer%ng #age 1*0 0,70*7*01,

4&. STEEL ST'ESSES N"T 'EE'ENCE% #N (STMs

1000 7si 4.5! MHa

si(niicant di(its e9ce7t o' !000 7si and a,o+e 'ound u7 to t)enea'est ! MHaC

in.-$, nits 7si3

;000 20.45 21 2110;000 4.5! 60 601;000 12".11 12! 12!20;000 16.50 1"0 1"00;000 204.! 20! 210!2;000 !.!" 40 400;000 !!1.40 !!0 !!0

100;000 45.!0 450 60012!;000 41. 40 4026!;000 154.1 15! 1500

#u$e% on+e't 7si to M,a u8%ng the 6actor !.!!4805: 'ound to 2

E9am7$e% 0;000 7si 0000 9 0.0045! !!1.4 à u8e 550 a

on+e'sion to SI

nits MHa3

E*ui+a$ent SI nits

MHa3

AI 1M nits

MHa3


121/132


a. 'E#N"'C#NG ;(' S#+E

in.-$,s nits SIC nits AI 1M

=o. =o. 10 =o. 10=o. " =o. 1 =o. 1=o. ! =o. 14 =o. 14=o. 4 =o. 15 =o. 15=o. 6 =o. 22 =o. 22=o. =o. 2! =o. 2!=o. 5 =o. 25 =o. 25=o. 10 =o. 2 =o. 2=o. 11 =o. 4 =o. 4

=o. 1" =o. " =o. "

=o. 1 =o. !6 =o. !6

&. STEEL ST'(N% S#+E>

in.-$,s nits in.3 SI nits mm3 ASTM

AI 1M@esi(natedSt'and =o.

0.2!0 4." 4 40.1 6.5 0.6! 5.! 5 50." 11.1 11 110.!00 12.6 1 10.400 1!.2 1! 1!

c. 'E#N"'C#NG ;(' S#+E> ?H#GH@ST'ENGTHA

in.-$,s SI nits

AI 1M

in.-$,s SI nitsnits in.3 mm3 nits in.3 mm3

87e I H$ainC Ba' T87e II @eo'medC Ba' --- --- --- !/ 1!/" 15 15 /" 206/ 22 22 --- ---1 2! 2! 1 24

1-1/ 25 25 --- ---1-1/" 2 2 1-1/" 2

1-/ ! ! 1-/ 41-/" "42-1/2 4!

J)e'e AI 1 (i+es $imits on (ene'a$ GTendonG si>es; an e9act con+e'sion o s)a$$ ,e made.E9am7$e: !/ tendon es 7e' (STM:

ASTM A "14/ A "14MF02

on+e'sion o stee$ st'and si>es 7e' (STM:

A 622/ A 622M F 5 ASTM A 622/ A 622M F 5


122/132

8. STEEL *#'E 'E#N"'CEMENT

in.-$, nits SI nits

Si>e @iamete' in.3 Si>ea$cu$ated a$cu$ated

@iamete' mm3

0.! 0.00 0.00! 2.0 .2

M ! 2.!0 !.00@ 1 0.11 0.01 2.6 4."!

1.2 0.12" 0.012 .1! 6.6"

1." 0.1" 0.01" ."0 5.0

M 10 .40 10.00

2 o' @ 2 0.140 % 0.1!5 0.02 ".04 12.50

M 1! "."0 1!.00

2.! 0.16 0.02! ".!2 14.1

2.5 0.152 0.025 ". 1.60

@ 0.15! 0.0 ".5! 15.!

M 20 !.00 20.00

.! 0.211 0.0! !.4 22.!

M 2! o' M@ 2! !.40 2!

" o' @ " 0.224 % 0.22! 0.0" !.6" 2!.1

".! 0.25 0.0"! 4.06 25.0

M 0 o' M@ 0 4.20 0

! o' @ ! 0.2!2 % 0.2!0 0.0! 4."0 2.24

M ! o' M@ ! 4.60 !

!.! 0.24! 0.0!! 4.6 !."

4 o' @ 4 0.264 0.04 6.01 .61

M "0 o' M@ "0 6.10 "0

@ 6 0.255 0.06 M "! o' M@ "! 6.40 "!

M !0 o' M@ !0 .00 !0

o' @ 0.15 0.0 .10 !1.41

M !! o' M@ !! ."0 !!

@ 5 0. 0.05 .!5 !.54M 40 o' M@ 40 .60 40

10 o' @ 10 0.!6 % 0.!4 0.10 5.06 4".!2

M 4! o' M@ 4! 5.10 4!

M 60 o' M@ 60 5."0 60

% 11 !.3 !.11 5.!0 60.56

12 o' @ 12 0.51 % 0.50 0.12 5.5 66."2

M 0 o' M@ 0 10.10 0

@ 1 0."04 0.1 10.1 .6

M 50 o' M@ 50 10.60 50

1" o' @ 1" 0."22 0.1" 10.62 50.2

@ 1! 0."6 0.1! 11.10 54.66

M 100 o' M@ 100 11.0 100 14 o' @ 14 0."!1 0.14 11."4 10.2!

@ 16 0."4! 0.16 11.1 105.4

1 o' @ 1 0."65 % 0."6 0.1 12.16 114.1

M 120 o' M@ 120 12."0 120

@ 15 0."51 0.15 12."6 122.!

20 o' @ 20 0.!0! % 0.!0" 0.20 12. 125.0

M 10 o' M@ 10 12.50 10

@ 21 0.!16 0.21 1.1 1!."

22 o' @ 22 0.!25 0.22 1."" 1"1.50

@ 2 0.!"1 0.2 1.6" 1".5

2" o' @ 2" 0.! % 0.!! 0.2" 1".0! 1!".0

@ 2! 0.!4" 0.2! 1". 141.25

24 o' @ 24 0.!6! 0.24 1".41 146.60

@ 26 0.!4 0.26 1". 16".15

2 o' @ 2 0.!56 0.2 1!.14 10.40

@ 25 0.40 0.25 1!."" 16.10

0 o' @ 0 0.41 0. 1!.60 15.!0

1 o' @ 1 0.42 0.1 M 200 o' M@ 200 1!.5! 200

"! o' @ "! 0 6!6 0 "! M 250 o' M@ 250 15 22 250

ASTM does not )a+e a di'ect SI e*ui+a$ent ASTM si>es and dimensions not s)adedC: Ta,$e ,e$o< s)oes es s)adedC. se t)e nea'est SI si>e as a77'o7'iate.

ASTM A 2F02 ; MC and ASTM A "54-02 @; M@C

A'ea in.23 A'ea mm23


123/132

A(I Eng%neer%ng #age 1* 0,70*7*01,

t e9act e*ui+a$ents:


124/132

A(I Eng%neer%ng #age 1*! 0,70*7*01,


125/132



126/132

A(I Eng%neer%ng #age 1*, 0,70*7*01,

o< to t)e nea'est !


127/132

A(I Eng%neer%ng #age 1*. 0,70*7*01,

'ess $e+e$s !000 7si


128/132

A(I Eng%neer%ng #age 1*- 0,70*7*01,

its. S)o< constants


129/132


130/132



131/132


AI 1M

1!20---24---2

4"44!


132/132

M !

M !

M 10

M 1!

M 1!

M 20

M 2!

M2! o' M@2!

M 0

M 0 o' M@ 0

M !

M "0 o' M@ "0

M@ "!

M !0 o' M@ !0

M@ 40

M 4! o' M@ 4!

M@ 60

ed SI dimensions and

AI 1 M - Su((estedSi>e

bridge analysis and design v1.1

Documents