V. AISC 360-10 - G-6
Reference
Design Examples, Version 14.0, American Institute of Steel Construction, 2011, page G-13.
Note: This reference is freely available for download from the AISC website at https://www.aisc.org/globalassets/aisc/university-programs/teaching-aids/first-semester-design-examples.pdf
Problem
From the reference:
Verify the available shear strength and adequacy of a W21×48 ASTM A992 beam with end shears of 20.0 kips from dead load and 60.0 kips from live load in the weak direction.
Refer to the reference for calculations.
Comparison
Result Type | Reference | STAAD.Pro | Difference |
---|---|---|---|
ϕvVn (kips) [LRFD] | 189 | 189 | none |
Vn/Ωv (kips) [ASD] | 126 | 126 | none |
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-10 - G-6.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 25-Oct-12
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 8 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.28151e+006
POISSON 0.3
DENSITY 0.489024
ALPHA 1.2e-005
DAMP 0.03
TYPE STEEL
STRENGTH FY 7200 FU 9360 RY 1.5 RT 1.2
END DEFINE MATERIAL
CONSTANTS
MATERIAL STEEL ALL
MEMBER PROPERTY AMERICAN
1 TABLE ST W21X48
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
MEMBER LOAD
1 CON GZ -20 0.665
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
1 CON GZ -60 0.665
LOAD COMB 3 COMBINATION LOAD CASE 3
1 1.2 2 1.6
LOAD COMB 4 COMBINATION LOAD CASE 4
1 1.0 2 1.0
PERFORM ANALYSIS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
FYLD 7200
FU 9360
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
FYLD 7200
FU 9360
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD Output
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= * 1 ST W21X48 (AISC SECTIONS) FAIL Eq. H1-1b 1.439 3 0.00 -79.80 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 57.946 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 1.439(FAIL) | | Loc : 0.00 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 1.200E+02 | | Mx: 0.000E+00 My: -7.980E+01 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 7.000E+00 Ayy: 7.210E+00 Cw: 3.936E+03 | | Szz: 9.311E+01 Syy: 9.509E+00 | | Izz: 9.590E+02 Iyy: 3.870E+01 Ix: 8.030E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 8.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 1.00 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 9.47 N/A 13.66 T.B4.1(a)-1 | | Slender 53.54 N/A 36.33 T.B4.1(a)-5 | | Flexure : Non-Compact 9.47 9.27 24.39 T.B4.1(b)-10 | | Compact 53.54 91.69 139.00 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 4 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield -0.00E+00 6.35E+02 0.000 Eq. D2-1 3 0.00 | | Rupture -0.00E+00 6.87E+02 0.000 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 5.54E+02 0.000 Eq. E7-1 3 0.00 | | Min Buck 0.00E+00 4.66E+02 0.000 Eq. E7-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 4.97E+02 0.000 Eq. E7-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 8.62E-02 11.64 6.28E+03 3.12E+05 6.15E+02 | | Min Buck 8.94E-02 57.95 5.28E+03 1.26E+04 5.17E+02 | | Flexural Ag Fcr Pn | | Tor Buck 8.82E-02 5.64E+03 5.52E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -1.20E+02 1.89E+02 0.635 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 2.16E+02 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 4.86E-02 1.00 1.20 9.47 2.10E+02 | | Local-Y 5.01E-02 1.00 0.00 53.54 2.16E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 4.01E+02 0.000 Eq. F2-1 3 0.00 | | Minor -7.98E+01 5.59E+01 1.428 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 4.46E+02 0.00E+00 | | Minor 6.21E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 3.71E+02 0.000 Eq. F2-2 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 4.12E+02 0.00E+00 1.00 5.93 16.76 8.00 | STAAD SPACE -- PAGE NO. 5 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR BENDING-FLANGE LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 3.99E+02 0.000 Eq. F3-1 3 0.00 | | Minor -7.98E+01 5.55E+01 1.439 Eq. F6-2 3 0.00 | | Intermediate Mn Fcr | | Major 4.44E+02 0.00E+00 | | Minor 6.16E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 1.439 Eq. H1-1b 3 0.00 | | Flexure Tens 1.439 Eq. H1-1b 3 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 3.71E+02 -0.00E+00 4.66E+02 | | 5.55E+01 -7.98E+01 0.00E+00 | | Flexure Tens 3.71E+02 -0.00E+00 6.35E+02 | | 5.55E+01 -7.98E+01 -0.00E+00 | |-----------------------------------------------------------------------| 46. LOAD LIST 4 47. PARAMETER 2 48. CODE AISC UNIFIED 2010 49. METHOD ASD 50. FYLD 7200 51. FU 9360 52. TRACK 2 ALL 53. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 6 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= * 1 ST W21X48 (AISC SECTIONS) FAIL Eq. H1-1b 1.442 4 0.00 -53.20 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 57.946 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 1.442(FAIL) | | Loc : 0.00 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 8.000E+01 | | Mx: 0.000E+00 My: -5.320E+01 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 7.000E+00 Ayy: 7.210E+00 Cw: 3.936E+03 | | Szz: 9.311E+01 Syy: 9.509E+00 | | Izz: 9.590E+02 Iyy: 3.870E+01 Ix: 8.030E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 8.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 1.00 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 9.47 N/A 13.66 T.B4.1(a)-1 | | Slender 53.54 N/A 36.33 T.B4.1(a)-5 | | Flexure : Non-Compact 9.47 9.27 24.39 T.B4.1(b)-10 | | Compact 53.54 91.69 139.00 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield -0.00E+00 4.22E+02 0.000 Eq. D2-1 4 0.00 | | Rupture -0.00E+00 4.58E+02 0.000 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 3.68E+02 0.000 Eq. E7-1 4 0.00 | | Min Buck 0.00E+00 3.10E+02 0.000 Eq. E7-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 3.31E+02 0.000 Eq. E7-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 8.62E-02 11.64 6.28E+03 3.12E+05 6.15E+02 | | Min Buck 8.94E-02 57.95 5.28E+03 1.26E+04 5.17E+02 | | Flexural Ag Fcr Pn | | Tor Buck 8.82E-02 5.64E+03 5.52E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -8.00E+01 1.26E+02 0.636 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 1.44E+02 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 4.86E-02 1.00 1.20 9.47 2.10E+02 | | Local-Y 5.01E-02 1.00 0.00 53.54 2.16E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 2.67E+02 0.000 Eq. F2-1 4 0.00 | | Minor -5.32E+01 3.72E+01 1.431 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 4.46E+02 0.00E+00 | | Minor 6.21E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 2.47E+02 0.000 Eq. F2-2 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 4.12E+02 0.00E+00 1.00 5.93 16.76 8.00 | STAAD SPACE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR BENDING-FLANGE LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 2.66E+02 0.000 Eq. F3-1 4 0.00 | | Minor -5.32E+01 3.69E+01 1.442 Eq. F6-2 4 0.00 | | Intermediate Mn Fcr | | Major 4.44E+02 0.00E+00 | | Minor 6.16E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 1.442 Eq. H1-1b 4 0.00 | | Flexure Tens 1.442 Eq. H1-1b 4 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 2.47E+02 -0.00E+00 3.10E+02 | | 3.69E+01 -5.32E+01 0.00E+00 | | Flexure Tens 2.47E+02 -0.00E+00 4.22E+02 | | 3.69E+01 -5.32E+01 -0.00E+00 | |-----------------------------------------------------------------------|