V.I Section in Bending

Determine the capacity of a South African I-section beam in bending per South African steel design code (SANS10162-1:1993). The beam has torsional and simple lateral rotational restraint at the supports, and the applied point load provides effective lateral restraint at the point of application is braced at its ends for both axes.

Reference

Example 4.5, page 4.37, Structural Steel Design to SABS 0162-1 1993 (Limit States Design). Greg Parrott, 1st edition, Shades Technical Publications. 1993

Given

FYLD = 300 Mpa

Comparison

Table 1. Comparison of results
Criteria	Reference	STAAD.Pro	Difference
Major Axis Bending Resistance (kN)	353.4	364.5	3%

Input File

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ is typically installed with the program.

STAAD PLANE
START JOB INFORMATION
*ENGINEER DATE
END JOB INFORMATION
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 10 0 0; 3 7 0 0
MEMBER INCIDENCES
1 1 3; 2 3 2
MEMBER PROPERTY SAFRICAN
1 2 TABLE ST 406X67UB
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 2.00E+008
POISSON 3
DENSITY 977
ISOTROPIC STEEL
E 2.00E+008
POISSON 3
DENSITY 8195
ALPHA 2E-005
DAMP 03
END DEFINE MATERIAL
UNIT MMS KN
CONSTANTS
MATERIAL STEEL MEMB 1 2
UNIT METER KN
SUPPORTS
1 3 PINNED
LOAD 1 LOADTYPE NONE TITLE LOAD CASE 1
MEMBER LOAD
1 CON GY -104 4
1 UNI GY -4
2 UNI GY -2
PERFORM ANALYSIS
PARAMETER
CODE SANS10162-1: 1993
CB 0 ALL
UNL 4 MEMB 1
FU 450000 ALL
BEAM 1 ALL
NSF 85 ALL
FYLD 300000 ALL
TRACK 2 ALL
CHECK CODE MEMB 1
FINISH

Output

                **************************************
                       STAAD.PRO CODE CHECKING
                (SOUTHAFRICAN STEEL/SANS10162-01:1993 )
                **************************************
  PROGRAM CODE REVISION V1.0_SANS10162-1: 1993
 ALL UNITS ARE - KNS  MET  (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
       1 ST   406X67UB                 (SOUTHAFRICAN SECTIONS)
                         PASS       SAN-13.8           0.526         1
                         0.00            0.00        -191.90        4.08
   MEMBER PROPERTIES (UNIT = CM)
   -----------------------------
   SECTION CLASS =   1
   CROSS SECTION AREA =  8.55E+01   MEMBER LENGTH =  7.00E+02
   IZ =  2.43E+04   SZ =  1.19E+03   PZ =  1.35E+03
   IY =  1.36E+03   SY =  1.52E+02   PY =  2.37E+02
   MATERIAL PROPERTIES (UNIT = MPA)
   --------------------------------
   FYLD = 300.0   FU = 450.0
   SECTION CAPACITIES (UNIT - KN,M)
   ---------------------------------
   CRY =  4.532E+02   CRZ =  2.016E+03
   CTORFLX =  4.532E+02
   TENSILE CAPACITY     =  2.308E+03   COMPRESSIVE CAPACITY =  4.532E+02
   FACTORED MOMENT RESISTANCE : MRY =  6.399E+01   MRZ =  3.645E+02
   FACTORED SHEAR RESISTANCE  : VRY =  6.420E+02   VRZ =  6.075E+02
   MISCELLANEOUS INFORMATION
   --------------------------
   NET SECTION FACTOR FOR TENSION = 85.000
   UNSUPPORTED LENGTH OF THE COMPRESSION FLANGE (M) =  4.000
   OMEGA-1 (Y-AXIS) = 1.00   OMEGA-1 (Z-AXIS) = 1.00   OMEGA-2 = 1.75
   SHEAR FORCE (KNS) : Y AXIS = -6.305E+01   Z AXIS =  0.000E+00
   SLENDERNESS RATIO OF WEB (H/W) =  4.33E+01
   KL/RY =  175.514   KL/RZ =   41.522   ALLOWABLE KL/R =  300.000