42tw4

C1342TW4-(42nd-43rd)General column design by PROKON. (GenCol Ver W2.6.11 - 24 Apr 2014)

Design code : CP65 - 1999

Input tables

General design parameters:

CodeX/Radius or

Bar dia. (mm)Y (mm)

Angle ()+ 5.000 190.000 5.000 5.000 4290.000 -5.000 5.000 -190.000 -5.000 -5.000 -4290.000+ 41.500 41.500b 13 + 158.500 41.500b 13 + 158.500 4258.500b 13 + 41.500 4258.500b 13 + 41.500 289.559b 13.000 + 158.500 289.559b 13.000 + 41.500 537.618b 13.000 + 158.500 537.618b 13.000 + 41.500 785.676b 13.000 + 158.500 785.676b 13.000 + 41.500 1033.735b 13.000 + 158.500 1033.735b 13.000 + 41.500 1281.794b 13.000 + 158.500 1281.794b 13.000 + 41.500 1529.853b 13.000 + 158.500 1529.853b 13.000 + 41.500 1777.912b 13.000

SheetJob Number

Job Title

Client

Calcs by Checked by Date

Software Consultants (Pty) LtdInternet: http://www.prokon.comE-Mail : [email protected]

KTP/20/13ECHELONM/s KTP CONSULTANTS PTE LTDHT T&T AUGUST 2015

+ 158.500 1777.912b 13.000 + 41.500 2025.971b 13.000 + 158.500 2025.971b 13.000 + 41.500 2274.029b 13.000 + 158.500 2274.029b 13.000 + 41.500 2522.088b 13.000 + 158.500 2522.088b 13.000 + 41.500 2770.147b 13.000 + 158.500 2770.147b 13.000 + 41.500 3018.206b 13.000 + 158.500 3018.206b 13.000 + 41.500 3266.265b 13.000 + 158.500 3266.265b 13.000 + 41.500 3514.324b 13.000 + 158.500 3514.324b 13.000 + 41.500 3762.382b 13.000 + 158.500 3762.382b 13.000 + 41.500 4010.441b 13.000 + 158.500 4010.441b 13.000

Loadcase Designation

Ultimate limit state design loadsP (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)

1 Axial 3500 2 Axial+Mxx 3500 350 3 Axial+Myy 3500 35 4 Axial+Mxx+Myy 3500 350 35

Design loads:

SheetJob Number

Job Title

Client




04000

3000

2000

1000

0

-1000

X X

Y

Y

CP65 - 1999

General design parameters:Given: Lo = 6.000 m fcu = 40 MPa fy = 460 MPa Ac = 855172 mm

Assumptions: (1) The general conditions of clause 3.8.1 are applicable. (2) The specified design axial loads include the self-weight of the column. (3) The design axial loads are taken constant over the height of the column.

Design approach:The column is designed using an iterative procedure: (1) An area of reinforcement is chosen. (2) The column design charts are constructed. (3) The corresponding slenderness moments are calculated. (4) The design axis and design ultimate moment are determined . (5) The design axial force and moment capacity is checked on the relevant design chart. (6) The safety factor is calculated for this load case. (7) The procedure is repeated for each load case. (8) The critical load case is identified as the case yielding the lowest safety factor about the design axis

Through inspection: Load case 3 (Axial+Myy) is critical.

Check column slenderness:End fixity and bracing for bending about the Design axis: At the top end: Condition 2 (partially fixed). At the bottom end: Condition 3 (pinned). The column is braced.

Effective length factor = 1.00 Table 3.21

Effective column height:

=le Lo. = 1 6 = 6.000 m

Column slenderness about weakest axis:

=max_s140lleh

=

6.19997

= 30.005

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Where h is an equivalent column depth derived from the radius of gyration*square root of 12

Minimum Moments for Design:Check for mininum eccentricity: 3.8.2.4 Check that the eccentricity exceeds the minimum in the plane of bending: Use emin = 20mm

=Mmin emin N.

= .01 3500 = 35.000 kNm

Check if the column is slender: 3.8.1.3 le/h = 30.0 > 15 The column is slender.

Initial moments:

The initial end moments about the X-X axis:

M1 = Smaller initial end moment = 0.0 kNm

M2 = Larger initial end moment = 0.0 kNm

The initial moment near mid-height of the column : 3.8.3.2

=Mi 0.4 M1 0.6 M2. .- + = 0.4 0 0.6 0 - + = 0.0000100 kNm

=Mi2 0.4 M2.

= 0.4 0 = 0.0000100 kNm

Mi 0.4M2 = 0.0 kNm

The initial end moments about the Y-Y axis:

M1 = Smaller initial end moment = 0.0 kNm

M2 = Larger initial end moment = 35.0 kNm

The initial moment near mid-height of the column : 3.8.3.2 =Mi 0.4 M1 0.6 M2. .- + = 0.4 0 0.6 35 - + = 21.000 kNm

SheetJob Number

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=Mi2 0.4 M2.

= 0.4 35 = 14.000 kNm

Mi 0.4M2 = 21.0 kNm

Deflection induced moments: 3.8.3.1Design ultimate capacity of section under axial load only:

=Nuz 0.45 fcu Ac 0.87 fy Asc. . . . + = 0.45 40 855.17 0.87 460 4.7784 + = 17.31103 kN

Maximum allowable stress and strain:

Allowable compression stress in steel

=fsc 0.87 fy. = 0.87 460 = 400.200 MPa

Allowable tensile stress in steel

=fst 0.87 fy. = 0.87 460 = 400.200 MPa

Allowable tensile strain in steel

=eyfstEs

=

400.2205000

= 0.0020

Allowable compressive strain in concrete

ec = 0.0035

For bending about the weakest axis: Weakest axis lies at an angle of -90.00 to the X-X axis Overall dimension perpendicular to weakest axis h = 200mm

SheetJob Number

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=KNuz N

Nuz Nbal -

-

=

1731104 3500103

1731104 6957103 -

-

= 1.334

=a 12000 max_sl2

.

=

12000 30.004

2

= 0.4501

Where max_sl is the maximum slenderness ratio of the column as an equivalent rectangular column.

Therefore:

=Madd N a K h. . . = 3500 .45013 1 .19997 = 315.044 kNm

Maddx = Madd*cos(-90.00) = 0.0 kNm Maddy = Madd*sin(-90.00) = 315.1 kNm

Design ultimate load and moment:Design axial load: Pu = 3500.0 kN

Moments as a result of imperfections added about Design axis 5.8.9 2)

For bending about the X-X axis, the maximum design moment is the greatest of: 3.8.3.2(a) 3.8.3.2

=Mtop MtMadd

2 +

= 002

+

= 0.0000100 kNm

(b) 3.8.3.2

=Mmid Mi Madd +

= 0 0 + = 0.0000100 kNm

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(c) 3.8.3.2

=Mbot MbMadd

2 +

= 0 02

+

= 0.0000100 kNm

(d) 3.8.3.2

=M eminx N.

= .02 3500 = 70.000 kNm

Thus 3.8.3.2

M

= 70.0 kNm

Mxtop=0.0 kNm

Moments about X-X axis( kNm)

Initial Additional Design

Mx=0.0 kNmMxmin=70.0 kNm

+ =

Moments as a result of imperfections added about Design axis 5.8.9 2)

For bending about the Y-Y axis, the maximum design moment is the greatest of: 3.8.3.2(a) 3.8.3.2

=Mtop MtMadd

2 +

= 35 315.092

+

= 192.545 kNm

(b) 3.8.3.2

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=Mmid Mi Madd +

= 21 315.09 + = 336.090 kNm

(c) 3.8.3.2

=Mbot MbMadd

2 +

= 0315.09

2 +

= 157.545 kNm

(d) 3.8.3.2

=M eminy N.

= .02 3500 = 70.000 kNm

Thus 3.8.3.2

M

= 336.1 kNm

Madd/2=157.5 kNm

Mya

dd/2

=-31

5.1

kNm

Mytop=35.0 kNm

Moments about Y-Y axis( kNm)

Initial Additional Design

My=336.1 kNmMymin=35.0 kNm

+ =

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Design of column section for ULS:

The column is checked for applied moment about the design axis. Through inspection: the critical section lies near mid-height of the column. The design axis for the critical load case 3 lies at an angle of 90.00 to the X-axis The safety factor for the critical load case 3 is 1.25

For bending about the design axis:

Interaction Diagram

Mo

me

nt m

ax

= 48

8.6k

Nm

@

68

37kN

-1000

10002000300040005000600070008000900010E311E312E313E314E315E316E3

-50

0

-45

0-40

0-35

0-30

0

-25

0-20

0-15

0-10

0

-50

.0

0.00

50.0

100

150

200

250

300

350

400

450

500

550

Axia

l lo

ad

(kN)

Bending moment (kNm)

3500 kN

336

kNm

Moment distribution along the height of the column for bending about the design axis:

The final design moments were calculated as the vector sum of the X- and Y- momentsof the critical load case. This also determined the design axis direction

At the top, Mx = 192.5 kNm Near mid-height, Mx = 336.1 kNm At the bottom, Mx = 0.0 kNm

SheetJob Number

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Stresses near mid-height of the column for the critical load case 3

0

4000

3000

2000

1000

0

-1000

XX

Y

Y

CP65 - 1999

90.0

D

D

Summary of design calculations:

Design table for critical load case:

Moments and Reinforcement for LC 3:Axial+Myy Top Middle BottomMadd-x (kNm) 0.0 0.0 0.0Madd-y (kNm) 157.5 -315.1 0.0Mx (kNm) 0.0 0.0 0.0My (kNm) 192.5 336.1 0.0Mmin (kNm) 35.0 35.0 0.0M-design (kNm) 192.5 336.1 0.0Design axis () 90.00 90.00 180.00Safety factor 2.44 1.25 2.58Asc (mm) 4778 4778 4778Percentage 0.56 % 0.56 % 0.56 %AsNom (mm) 3421 3421 3421Critical load case: LC 3

Design results for all load cases:

Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 1 Axial

X-XY-Y 3500.0

0.0 0.0

0.0 0.0

0.0 0.0

0.0 -315.1 Middle

0.0 315.1 315.1 1.387

SheetJob Number

Job Title

Client




Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 2 Axial+Mxx

Load case 3 Axial+Myy

Load case 4 Axial+Mxx+Myy

X-XY-Y 3500.0

0.0 0.0

350.0 0.0

210.0 0.0

0.0 -315.1 Middle

350.0 315.1 378.7 4.380

X-XY-Y 3500.0

0.0 0.0

0.0 35.0

0.0 21.0

0.0 -315.1 Middle

0.0 336.1 336.1 1.245

X-XY-Y 3500.0

0.0 0.0

350.0 35.0

210.0 21.0

0.0 -315.1 Middle

350.0 336.1 396.3 4.380

Load case 3 (Axial+Myy) is critical.

SheetJob Number

Job Title

Client




42tw4

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