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V. BS5950 2000 - Pinned Column Using Non-Slender UC

A 6.0 m column is pin ended about both axes and has no intermediate restraints.

Reference

Steelwork Design Guide to BS 5950-1:2000, Volume 2, Worked Examples, SCI publication P326, Example 6, The Steel Construction Institute.

Problem

The column is designed in S275 steel for the factored loading.

Point load, Fc = 2,500 kN

Comparison

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Slenderness about strong axis, λx 38.5 38.299 none
Slenderness about weak axis, λy 63.6 63.569 none
Compression capacity, Pc (kN) 3,100 3,090 none

STAAD Input

TRACK 2 ALL
Maximum detail output
SGR 0 ALL
Identifies steel grade as S275
Tip: You can copy and paste this content directly into a .std file to run in STAAD.Pro.

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\UK\BS5950 2000\BS5950 2000 - Pinned Column Using Non-Slender UC.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
JOB NAME Example no. 10
JOB CLIENT The Steel Construction Institute
JOB COMMENT Pinned column using a non-slender UC.
ENGINEER DATE Jun-2003
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 0 6 0;
MEMBER INCIDENCES
1 1 2;
*************************************
DEFINE MATERIAL START
ISOTROPIC STEEL
E 2.05e+08
POISSON 0.3
DENSITY 76.8195
ALPHA 1.2e-05
DAMP 0.03
END DEFINE MATERIAL
MEMBER PROPERTY BRITISH
1 TABLE ST UC356X368X129
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
*************************************
LOAD 1 AXIAL LOAD
JOINT LOAD
2 FY -2500
PERFORM ANALYSIS PRINT STATICS CHECK
***************************************
PARAMETER 1
CODE BS5950
SGR 0 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH

STAAD Output

                         STAAD.Pro CODE CHECKING - (BSI )
                         ***********************
  PROGRAM CODE REVISION V2.13_5950-1_2000
      STAAD SPACE                                              -- PAGE NO.    5
 ALL UNITS ARE - KN   METE (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
       1 ST UC356X368X129 PASS     BS-4.7   (C)       0.809         1
                      2500.00 C          0.00           0.00        0.00
 =======================================================================
   MATERIAL DATA                
      Grade of steel           =  S 275
      Modulus of elasticity    =  205 kN/mm2  
      Design Strength  (py)    =  265  N/mm2  
   SECTION PROPERTIES (units - cm)
      Member Length =    600.00
      Gross Area =  164.00  Net Area =  164.00  Eff. Area =  164.00
                                    z-z  axis       y-y  axis
      Moment of inertia        :    40200.008       14600.002
      Plastic modulus          :     2480.000        1200.000
      Elastic modulus          :     2260.968         792.187
      Effective modulus        :     2458.506        1159.980
      Shear Area               :      116.109          36.982
   DESIGN DATA (units - kN,m)   BS5950-1/2000
      Section Class            :   SEMI-COMPACT
      Squash Load              :   4346.00
      Axial force/Squash load  :     0.575
                                    z-z  axis       y-y  axis
      Compression Capacity     :       3992.2         3089.3
      Shear Capacity           :       1846.1          588.0
   BUCKLING CALCULATIONS (units - kN,m)
   (axis nomenclature as per design code)
                                     x-x axis        y-y axis
      Slenderness              :       38.323          63.591
      Radius of gyration (cm)  :       15.656           9.435
      Effective Length         :        6.000           6.000
      LTB Moment Capacity (kNm) and LTB Length (m):   577.91,    6.000
      LTB Coefficients & Associated Moments (kNm):
      mLT =   1.00  :   mx =   0.00   :  my =   0.00   :  myx =   0.00
      Mlt =    0.00 :   Mx =    0.00  :  My =   0.00   :   My =   0.00
      STAAD SPACE                                              -- PAGE NO.    6
   CRITICAL LOADS FOR EACH CLAUSE CHECK (units- kN,m):
    CLAUSE        RATIO  LOAD     FX       VY      VZ      MZ      MY   
   BS-4.7   (C)   0.809     1  2500.0       -       -       -       - 
    Torsion and deflections have not been considered in the design.
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