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V. BS5950 2000 - Fully Restrained Simply Supported Beam

A 6.5 m, simply-supported beam is fully restrained along its length. The beam is designed in S275 steel for the loading described.

Reference

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

Problem

The beam is designed in S275 steel for the loading described.

Dead Loads, γfd = 1.4:

  • Distributed load (including s/w) wd = 15 kN/m
  • Point Load Wd = 40 kN

Imposed Loads, γfi = 1.6:

  • Distributed load Wi = 30 kN/m
  • Point Load Wi = 50 kN

Comparison

Table 1. Comparison of results
Result Type Theory STAAD.Pro Difference
Shear capacity, Pv(kN) 888 888.4 none
Moment capacity, Mcx (kN-m) 649 649 none
Total deflection, δ (mm) 8.69 9.25a 6.4%
Deflection limit (mm) 18.1 18.056 none
  1. STAAD.Pro includes effects of shear deformation, resulting in a higher calculated maximum deflection.

STAAD Input

TRACK 2 ALL
Maximum detail output
UNI 0 ALL
Identifies the beam as fully restrained
DEF 360 ALL
Limiting ratio of beam length to maximum deflection
DJ1 1 ALL
Identifies starting joint of "physical member" for deflection check
DJ2 3 ALL
Identifies ending joint of "physical member" for deflection check

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\UK\BS5950 2000\BS5950 2000 - Fully Restrained Simply Supported Beam.STD is typically installed with the program.

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 - Fully Restrained Simply Supported Beam.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
JOB NAME Example no. 2
JOB CLIENT The Steel Construction Institute
JOB COMMENT Simply supported restrained beam
ENGINEER DATE Jun-2003
END JOB INFORMATION
INPUT WIDTH 79
*********************************************
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 3.25 0 0; 3 6.5 0 0;
MEMBER INCIDENCES
1 1 2; 2 2 3;
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 2 TABLE ST UB533X210X92
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 3 FIXED BUT MZ
*********************************************
* Loading
LOAD 1 DEAD
JOINT LOAD
2 FY -40
MEMBER LOAD
1 2 UNI GY -15
*********************************************
LOAD 2 LIVE
JOINT LOAD
2 FY -50
MEMBER LOAD
1 2 UNI GY -30
*********************************************
LOAD COMB 100 COMBINATION LOAD CASE 3
1 1.4 2 1.6 
PERFORM ANALYSIS PRINT STATICS CHECK
*********************************************
* First check the forces
PARAMETER 1
CODE BS5950
TRACK 2 ALL
UNL 0 ALL
CHECK CODE ALL
*********************************************
* Second check the displacements
UNIT MMS KN
LOAD LIST 2
PARAMETER 2
CODE BS5950
DFF 360 ALL
DJ1 1 ALL
DJ2 3 ALL
TRACK 4 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 UB533X210X92  PASS     BS-4.3.6           0.902       100
                         0.00            0.00         585.41        0.00
 =======================================================================
   MATERIAL DATA                
      Grade of steel           =  S 275
      Modulus of elasticity    =  205 kN/mm2  
      Design Strength  (py)    =  275  N/mm2  
   SECTION PROPERTIES (units - cm)
      Member Length =    325.00
      Gross Area =  117.00  Net Area =  117.00  Eff. Area =  117.00
                                    z-z  axis       y-y  axis
      Moment of inertia        :    55200.004        2390.000
      Plastic modulus          :     2360.000         355.000
      Elastic modulus          :     2070.906         228.380
      Effective modulus        :     2360.000         355.000
      Shear Area               :       58.771          53.843
   DESIGN DATA (units - kN,m)   BS5950-1/2000
      Section Class            :   PLASTIC     
                                    z-z  axis       y-y  axis
      Moment Capacity          :        649.0           94.2
      Reduced Moment Capacity  :        649.0           94.2
      Shear Capacity           :        969.7          888.4
   BUCKLING CALCULATIONS (units - kN,m)
   (axis nomenclature as per design code)
      LTB Moment Capacity (kNm) and LTB Length (m):   649.00,    0.000
      LTB Coefficients & Associated Moments (kNm):
      mLT =   1.00  :   mx =   0.00   :  my =   0.00   :  myx =   0.00
      Mlt =  585.41 :   Mx =    0.00  :  My =   0.00   :   My =   0.00
   CRITICAL LOADS FOR EACH CLAUSE CHECK (units- kN,m):
    CLAUSE        RATIO  LOAD     FX       VY      VZ      MZ      MY   
   BS-4.2.3-(Y)   0.329   100      -     292.3      -       -       - 
   BS-4.3.6       0.902   100      -     292.3      -    585.4      - 
    Torsion and deflections have not been considered in the design.
                        _________________________
      STAAD SPACE                                              -- PAGE NO.    6
 ALL UNITS ARE - KN   METE (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
       2 ST UB533X210X92  PASS     BS-4.3.6           0.902       100
                         0.00            0.00         585.41        0.00
 =======================================================================
   MATERIAL DATA                
      Grade of steel           =  S 275
      Modulus of elasticity    =  205 kN/mm2  
      Design Strength  (py)    =  275  N/mm2  
   SECTION PROPERTIES (units - cm)
      Member Length =    325.00
      Gross Area =  117.00  Net Area =  117.00  Eff. Area =  117.00
                                    z-z  axis       y-y  axis
      Moment of inertia        :    55200.004        2390.000
      Plastic modulus          :     2360.000         355.000
      Elastic modulus          :     2070.906         228.380
      Effective modulus        :     2360.000         355.000
      Shear Area               :       58.771          53.843
   DESIGN DATA (units - kN,m)   BS5950-1/2000
      Section Class            :   PLASTIC     
                                    z-z  axis       y-y  axis
      Moment Capacity          :        649.0           94.2
      Reduced Moment Capacity  :        649.0           94.2
      Shear Capacity           :        969.7          888.4
   BUCKLING CALCULATIONS (units - kN,m)
   (axis nomenclature as per design code)
      LTB Moment Capacity (kNm) and LTB Length (m):   649.00,    0.000
      LTB Coefficients & Associated Moments (kNm):
      mLT =   1.00  :   mx =   0.00   :  my =   0.00   :  myx =   0.00
      Mlt =  585.41 :   Mx =    0.00  :  My =   0.00   :   My =   0.00
   CRITICAL LOADS FOR EACH CLAUSE CHECK (units- kN,m):
    CLAUSE        RATIO  LOAD     FX       VY      VZ      MZ      MY   
   BS-4.2.3-(Y)   0.329   100      -     292.3      -       -       - 
   BS-4.3.6       0.902   100      -      68.0      -    585.4      - 
    Torsion and deflections have not been considered in the design.
                        _________________________
      STAAD SPACE                                              -- PAGE NO.    7
   ************** END OF TABULATED RESULT OF DESIGN **************
    53. *********************************************
    54. * SECOND CHECK THE DISPLACEMENTS
    55. UNIT MMS KN
    56. LOAD LIST 2
    57. PARAMETER 2
    58. CODE BS5950
    59. DFF 360 ALL
    60. DJ1 1 ALL
    61. DJ2 3 ALL
    62. TRACK 4 ALL
    63. CHECK CODE ALL
 STEEL DESIGN    
                         STAAD.Pro CODE CHECKING - (BSI )
                         ***********************
  PROGRAM CODE REVISION V2.13_5950-1_2000
      STAAD SPACE                                              -- PAGE NO.    8
 CLAUSE BS-2.5.1 CHECKS                                                         
 LENGTH UNITS - MMS                                                             
 MEMBER     TABLE         RESULT   ACTUAL    DEFL.    DEFL.LEN/    LOAD/        
                                   DEFL.     LIMIT       DFF    LOCATION        
 =======================================================================        
       1 ST UB533X210X92   PASS      9.255    18.056  6500.000       2          
                                                       360.000  3249.67         
       2 ST UB533X210X92   PASS      9.255    18.056  6500.000       2          
                                                       360.000     0.00         
   ************** END OF TABULATED RESULT OF DESIGN **************