V. BS5950 2000 - Beam from UB Restrained at Loading
Design of a simply-supported, 9m beam, which is laterally restrained at the ends and at the points of load application only.
Reference
Steelwork Design Guide to BS 5950-1:2000, Volume 2, Worked Examples, SCI publication P326, Example 4, The Steel Construction Institute.
Problem
Dead Loads, γfd = 1.4:
- Selfweight ws = 3 kN/m
- Point Load W1d = 40 kN
- Point Load W2d = 20 kN
Imposed Loads, γfi = 1.6:
- Point Load W1i = 60 kN
- Point Load W2i = 30 kN
Comparison
| Result Type | Theory | STAAD.Pro | Difference |
|---|---|---|---|
| Shear capacity, Pv (kN) | 751 | 751.4 | none |
| Moment capacity, Mcx (kN-m) | 503 | 503.5 | none |
| Lateral-torsional bucking moment, Mb (kN-m) | 397 | 396.6 | none |
STAAD Input
- TRACK 2 ALL
- Maximum detail output
- MLT _MAIN J1 U2 U3 J4
- Specifies that mLT is to be calculated with the end joints fully restrained and the intermediate joints restraining the upper flange
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\UK\BS5950 2000 - Beam from UB Restrained at Loading.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
JOB NAME Example no. 4
JOB CLIENT The Steel Construction Institute
JOB COMMENT Simply supported beam with lateral restraint points
ENGINEER DATE Jun-2003
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 3 0 0; 3 6 0 0; 4 9 0 0;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4;
*************************************
START GROUP DEFINITION
MEMBER
_MAIN 1 TO 3
END GROUP DEFINITION
*************************************
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 TO 3 TABLE ST UB457X191X82
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 4 FIXED BUT MZ
*************************************
LOAD 1 DEAD
JOINT LOAD
2 FY -40
MEMBER LOAD
1 TO 3 UNI GY -3
UNIT MMS KN
JOINT LOAD
3 FY -20
UNIT METER KN
LOAD 2 LIVE
JOINT LOAD
2 FY -60
UNIT MMS KN
JOINT LOAD
3 FY -30
LOAD COMB 100 COMBINATION LOAD CASE 3
1 1.4 2 1.6
PERFORM ANALYSIS PRINT STATICS CHECK
***************************************
PARAMETER 1
CODE BS5950
TRACK 2 ALL
MLT _MAIN J1 U2 U3 J4
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 MMS (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 ST UB457X191X82 PASS BS-4.3.6 0.830 100 0.00 0.00 417800.03 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 = 300.00 Gross Area = 104.00 Net Area = 104.00 Eff. Area = 104.00 z-z axis y-y axis Moment of inertia : 37100.004 1870.000 Plastic modulus : 1830.000 304.000 Elastic modulus : 1613.044 195.504 Effective modulus : 1830.000 304.000 Shear Area : 55.094 45.540 DESIGN DATA (units - kN,m) BS5950-1/2000 Section Class : PLASTIC z-z axis y-y axis Moment Capacity : 503.3 80.6 Reduced Moment Capacity : 503.3 80.6 Shear Capacity : 909.1 751.4 BUCKLING CALCULATIONS (units - kN,m) (axis nomenclature as per design code) LTB Moment Capacity (kNm) and LTB Length (m): 396.39, 3.000 LTB Coefficients & Associated Moments (kNm): mLT = 0.61 : mx = 0.00 : my = 0.00 : myx = 0.00 Mlt = 417.80 : 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) 0.194 100 - 145.6 - - - BS-4.3.6 0.830 100 - 145.6 - 417.8 - Torsion and deflections have not been considered in the design. _________________________ STAAD SPACE -- PAGE NO. 6 ALL UNITS ARE - KN MMS (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 2 ST UB457X191X82 PASS BS-4.3.6 0.986 100 0.00 0.00 417800.03 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 = 300.00 Gross Area = 104.00 Net Area = 104.00 Eff. Area = 104.00 z-z axis y-y axis Moment of inertia : 37100.004 1870.000 Plastic modulus : 1830.000 304.000 Elastic modulus : 1613.044 195.504 Effective modulus : 1830.000 304.000 Shear Area : 55.094 45.540 DESIGN DATA (units - kN,m) BS5950-1/2000 Section Class : PLASTIC z-z axis y-y axis Moment Capacity : 503.3 80.6 Reduced Moment Capacity : 503.3 80.6 Shear Capacity : 909.1 751.4 BUCKLING CALCULATIONS (units - kN,m) (axis nomenclature as per design code) LTB Moment Capacity (kNm) and LTB Length (m): 396.39, 3.000 LTB Coefficients & Associated Moments (kNm): mLT = 0.94 : mx = 0.00 : my = 0.00 : myx = 0.00 Mlt = 417.80 : 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) 0.042 100 - 31.6 - - - BS-4.3.6 0.986 100 - 19.0 - 417.8 - Torsion and deflections have not been considered in the design. _________________________ STAAD SPACE -- PAGE NO. 7 ALL UNITS ARE - KN MMS (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 3 ST UB457X191X82 PASS BS-4.3.6 0.679 100 0.00 0.00 341800.03 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 = 300.00 Gross Area = 104.00 Net Area = 104.00 Eff. Area = 104.00 z-z axis y-y axis Moment of inertia : 37100.004 1870.000 Plastic modulus : 1830.000 304.000 Elastic modulus : 1613.044 195.504 Effective modulus : 1830.000 304.000 Shear Area : 55.094 45.540 DESIGN DATA (units - kN,m) BS5950-1/2000 Section Class : PLASTIC z-z axis y-y axis Moment Capacity : 503.3 80.6 Reduced Moment Capacity : 503.3 80.6 Shear Capacity : 909.1 751.4 BUCKLING CALCULATIONS (units - kN,m) (axis nomenclature as per design code) LTB Moment Capacity (kNm) and LTB Length (m): 396.39, 3.000 LTB Coefficients & Associated Moments (kNm): mLT = 0.61 : mx = 0.00 : my = 0.00 : myx = 0.00 Mlt = 341.80 : 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) 0.160 100 - 120.2 - - - BS-4.3.6 0.679 100 - 107.6 - 341.8 - Torsion and deflections have not been considered in the design. _________________________