Verify the design capaciy of an I section used in a
column per the SP16.13330.2011 code.
Details
The column is 7.5 m tall with a pinned base and a roller (free
to move vertically and rotate) at the top. The column has a 3,500 kN axial
load. The section used is an HD320X127. Steel grade is S235.
- E = 205,000 MPa
- Ry = 235 MPa (yield strength)
- γc1 = 1, γc2 =
1
Validation
Check for Axial Force
| [Cl. 7.1.1, Eqn. 5] |
| [Cl. 7.1.3, Eqn. 7] |
where
A | = | cross sectional
area = 161 cm2 |
Slenderness ratios:
Ky = Kx = 0.75
| [Eqn. 8] |
| [Eqn. 9] |
where
α | = | 0.04 (From Table
7) |
β | = | 0.09 (From Table
7) |
| = | 2.516
(maximum slenderness ratio) |
| [Cl. 7.1.3, Eqn. 7] |
Check Web Slenderness
| [Table
9; Eqn. 24] |
Check Flange Slenderness
| [Table
10; Eqn. 37] |
Results
Table 1. Comparison of
results
Result Type
|
Reference
|
STAAD.Pro
|
Difference
|
Comments
|
Cl. 7.1.1
|
0.925
|
0.92 |
negligible
|
|
Cl. 7.1.3
|
1.25
|
1.25
|
none
|
|
|
0.700
|
0.699
|
negligible
|
|
|
2.08
|
2.08
|
none
|
|
|
0.210
|
0.209
|
negligible
|
|
|
0.612
|
0.611
|
negligible
|
|
STAAD.Pro Output
STAAD.PRO CODE CHECKING - (SP 16.13330.2011) V2.0
********************************************
ALL UNITS ARE - KN METRE
========================================================================
MEMBER CROSS RESULT/ CRITICAL COND/ RATIO/ LOADING/
SECTION NO. N Mx My LOCATION
========================================================================
* 1 I HD320X127 FAIL SP cl.7.1.3 1.25 1
3.500E+03 C 0.000E+00 0.000E+00 0.000E+00
1 I HD320X127 PASS SP cl.7.1.1 0.92 1
3.500E+03 C 0.000E+00 0.000E+00 0.000E+00
MATERIAL DATA
Steel = S235 EN10025-2
Modulus of elasticity = 206.E+06 kPa
Design Strength (Ry) = 235.E+03 kPa
SECTION PROPERTIES (units - m, m^2, m^3, m^4)
Member Length = 7.50E+00
Gross Area = 1.61E-02
Net Area = 1.61E-02
x-axis y-axis
Moment of inertia (I) : 308.E-06 924.E-07
Section modulus (W) : 193.E-05 616.E-06
First moment of area (S) : 107.E-05 470.E-06
Radius of gyration (i) : 138.E-03 757.E-04
Effective Length : 5.63E+00 5.63E+00
Slenderness : 407.E-01 743.E-01
DESIGN DATA (units -kN,m) SP16.13330.2011
Axial force : 350.0E+01
x-axis y-axis
Moments : 0.000E+00 0.000E+00
Shear force : 0.000E+00 0.000E+00
Bi-moment : 0.000E+00 Value of Bi-moment not being entered!!!
CRITICAL CONDITIONS FOR EACH CLAUSE CHECK
F.(7) N/(FI*A*Ry*GammaC)= 350.0E+01/( 7.40E-01* 1.613E-02* 235.0E+03* 1.00E+00)= 1.25E+00>1
7.3 LAMBDA_w<=LAMBDA_uw= 6.99E-01<= 2.08E+00 OK
LAMBDA_f<=LAMBDA_uf= 2.09E-01<= 6.11E-01 OK
F.(5) N/(An*Ry*GammaC)= 350.0E+01/( 1.61E-02* 235.0E+03* 1.00E+00)= 9.23E-01=<1