n-35pc10

C13N-35PC10

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

990.000

-5.000 5.000

-190.000

-5.000 -5.000

-990.000

+ 43.000 43.000

b 16

+ 157.000 43.000

b 16

+ 157.000 957.000

b 16

+ 43.000 957.000

b 16

+ 43.000 195.333

b 16.000

+ 157.000 195.333

b 16.000

+ 43.000 347.667

b 16.000

+ 157.000 347.667

b 16.000

+ 43.000 500.000

b 16.000

+ 157.000 500.000

b 16.000

+ 43.000 652.333

b 16.000

+ 157.000 652.333

b 16.000

+ 43.000 804.667

b 16.000

+ 157.000 804.667

b 16.000

SheetJob Number

Job Title

Client

Calcs by Checked by Date

Software Consultants (Pty) Ltd

Internet: http://www.prokon.com

E-Mail : [email protected]

KTP/10/13

NEW FUTURA

M/s KTP CONSULATNTS PTE LTD

HT T&T OCT 2015

Loadcase Designation

Ultimate limit state design loads

P (kN) Mx top (kNm) My top (kNm) Mx bot (kNm) My bot (kNm)

1 Axial 1480

2 Axial + Mecc 1480 38 19

3 Axial + Mxx 1480 148 38

4 Axial + Myy 1480 38 19

5 Axial + Mxx + Myy1480 148 75

Design loads:

0

1000

500

0

X X

Y

Y

CP65 - 1999

General design parameters:Given: Lo = 2.000 m fcu = 35 MPa fy = 460 MPa Ac = 197135 mm²

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 the following procedure: (1) The column design charts are constructed. (2) The design axis and design ultimate moment are determined . (3) The design axial force and moment capacity is checked on the relevant design chart. (4) The procedure is repeated for each load case. (5) The critical load case is identified as the case yielding the lowest safety factor about the design axis

Through inspection: Load case 5 (Axial + Mxx + 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 ß = 1.00 Table 3.21

Effective column height:

=le ß Lo.

= 1 2×

= 2.000 m

SheetJob Number

Job Title

Client





KTP/10/13

NEW FUTURA


HT T&T OCT 2015

Column slenderness about weakest axis:

=max_s140lle

h

=2

.19998

= 10.001

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 1480×

= 14.800 kNm

Check if the column is slender: 3.8.1.3

le/h = 10.0 < 15∴ The column is short.

Initial moments:

The initial end moments about the X-X axis:

M1 = Smaller initial end moment = 0.0 kNm

M2 = Larger initial end moment = 148.0 kNm

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

=Mi 0.4 M1 0.6 M2. .- +

= 0.4 0 0.6 148× ×- +

= 88.800 kNm

=Mi2 0.4 M2.

= 0.4 148×

= 59.200 kNm

∴ Mi ≥ 0.4M2 = 88.8 kNm

SheetJob Number

Job Title

Client





KTP/10/13

NEW FUTURA


HT T&T OCT 2015

The initial end moments about the Y-Y axis:

M1 = Smaller initial end moment = 0.0 kNm

M2 = Larger initial end moment = 75.0 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 75× ×- +

= 45.000 kNm

=Mi2 0.4 M2.

= 0.4 75×

= 30.000 kNm

∴ Mi ≥ 0.4M2 = 45.0 kNm

Design ultimate load and moment:Design axial load: Pu = 1480.0 kN

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

Mxtop=148.0 kNm

Moments about X-X axis( kNm)

Initial Additional Design

Mx=148.0 kNm

Mxmin=29.6 kNm

+ =

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

SheetJob Number

Job Title

Client





KTP/10/13

NEW FUTURA


HT T&T OCT 2015

Mytop=75.0 kNm

Moments about Y-Y axis( kNm)

Initial Additional Design

My=75.0 kNm

Mymin=14.8 kNm

+ =

Design of column section for ULS:

The column is checked for applied moment about the design axis. Through inspection: the critical section lies at the top end of the column. The design axis for the critical load case 5 lies at an angle of 26.87° to the X-axis The safety factor for the critical load case 5 is 2.11

For bending about the design axis:

Interaction Diagram

Mo

me

nt m

ax

= 5

78

.0kN

m @

13

66

kN

-1000-800-600-400-200

200 400 600 800 1000120014001600180020002200240026002800300032003400360038004000

-60

0

-50

0

-40

0

-30

0

-20

0

-10

0

0.0

0

10

0

20

0

30

0

40

0

50

0

60

0

Axi

al l

oa

d (

kN)

Bending moment (kNm)

1480 kN

16

6 k

Nm

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 = 165.9 kNm Near mid-height, Mx = 99.6 kNm At the bottom, Mx = 0.0 kNm

SheetJob Number

Job Title

Client





KTP/10/13

NEW FUTURA


HT T&T OCT 2015

Stresses at the top end of the column for the critical load case 5

0

1000

500

0

X X

Y

Y

CP65 - 1999

26.9°

D

D

Summary of design calculations:

Design table for critical load case:

Moments and Reinforcement for LC 5:Axial + Mxx + Myy

Top Middle Bottom

Madd-x (kNm) 0.0 0.0 0.0

Madd-y (kNm) 0.0 0.0 0.0

Mx (kNm) 148.0 88.8 0.0

My (kNm) 75.0 45.0 0.0

Mmin (kNm) 14.8 14.8 0.0

M-design (kNm) 165.9 99.6 0.0

Design axis (°) 26.87 26.87 90.00

Safety factor 2.11 2.37 1.01

Asc (mm²) 2815 2815 2815

Percentage 1.41 % 1.41 % 1.41 %

AsNom (mm²) 789 789 789

Critical load case: LC 5

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 1480.0

0.0 0.0

0.0 0.0

0.0 0.0

0.0 0.0 Top

0.0 0.0 14.8 2.486

SheetJob Number

Job Title

Client





KTP/10/13

NEW FUTURA


HT T&T OCT 2015

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

Load case 2 Axial + Mecc

Load case 3 Axial + Mxx

Load case 4 Axial + Myy

Load case 5 Axial + Mxx + Myy

X-XY-Y 1480.0

0.0 0.0

38.0 19.0

22.8 11.4

0.0 0.0 Middle

38.0 19.0 25.5 2.521

X-XY-Y 1480.0

0.0 0.0

148.0 38.0

88.8 22.8

0.0 0.0 Top

148.0 38.0 152.8 2.204

X-XY-Y 1480.0

0.0 0.0

38.0 19.0

22.8 11.4

0.0 0.0 Middle

38.0 19.0 25.5 2.521

X-XY-Y 1480.0

0.0 0.0

148.0 75.0

88.8 45.0

0.0 0.0 Top

148.0 75.0 165.9 2.105

Load case 5 (Axial + Mxx + Myy) is critical.

SheetJob Number

Job Title

Client





KTP/10/13

NEW FUTURA


HT T&T OCT 2015

n-35pc10

Documents