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