V. AISC 360-10 W Shape Strong Axis Shear G.1
Verify the available shear strength along the strong axis of a wide flange section per the LRFD and ASD methods of the AISD 360-10 code.
References
- American Institute of Steel Construction. 2010 Steel Construction Manual. Fourteenth Edition. AISC: Chicago, IL.
-
American Institute of Steel Construction. 2011. Design Examples, Version 14.0. AISC:Chicago, IL. Example G.1A and G.1B, pp. G-3 - G-4
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
Details
From reference (2):
Determine the available shear strength and adequacy of a W24×62 ASTM A992 beam … with end shears of 48 kips from dead load and 145 kips from live load.
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| ϕvVn (kips) [LRFD] | 306 | 306 | none | |
| Vn/Ωv (kips) [ASD] | 204 | 204 | none |
STAAD.Pro Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-10 W Shape Strong Axis Shear G.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 20-May-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 16 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL_50_KSI
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 7200 FU 8928 RY 1.5 RT 1.2
ISOTROPIC STEEL
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST W24X62
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
MEMBER LOAD
1 CON GY -100 8
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
1 CON GY -285 8
LOAD COMB 3 LRFD LOAD
1 1.2 2 1.6
LOAD COMB 4 ASD LOAD
1 1.0 2 1.0
PERFORM ANALYSIS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
FYLD 7200 ALL
FU 9360 ALL
STP 1 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
FYLD 7200 ALL
FU 9360 ALL
METHOD ASD
STP 1 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD.Pro 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 W24X62 (AISC SECTIONS) FAIL Eq. H1-1b 8.014 3 0.00 0.00 -2304.00 8.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 139.453 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 8.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 8.014(FAIL) | | Loc : 8.00 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 2.880E+02 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: -2.304E+03 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 8.307E+00 Ayy: 1.019E+01 Cw: 4.606E+03 | | Szz: 1.308E+02 Syy: 9.801E+00 | | Izz: 1.550E+03 Iyy: 3.450E+01 Ix: 1.710E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 16.000 | | 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 5.97 N/A 13.49 T.B4.1(a)-1 | | Slender 50.05 N/A 35.88 T.B4.1(a)-5 | | Flexure : Compact 5.97 9.15 24.08 T.B4.1(b)-10 | | Compact 50.05 90.55 137.27 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 8.19E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 8.87E+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 7.08E+02 0.000 Eq. E7-1 3 0.00 | | Min Buck 0.00E+00 2.11E+02 0.000 Eq. E7-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 4.45E+02 0.000 Eq. E7-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.12E-01 20.81 6.23E+03 9.52E+04 7.87E+02 | | Min Buck 1.26E-01 139.45 1.86E+03 2.12E+03 2.35E+02 | | Flexural Ag Fcr Pn | | Tor Buck 1.25E-01 3.91E+03 4.94E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 2.24E+02 0.000 Eq. G2-1 3 0.00 | | Local-Y 2.88E+02 3.06E+02 0.942 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 5.77E-02 1.00 1.20 5.97 2.49E+02 | | Local-Y 7.08E-02 1.00 0.00 50.05 3.06E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 2.30E+03 5.74E+02 4.016 Eq. F2-1 3 8.00 | | Minor 0.00E+00 5.88E+01 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 6.38E+02 0.00E+00 | | Minor 6.53E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 2.30E+03 2.87E+02 8.014 Eq. F2-3 3 8.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 3.19E+02 0.00E+00 1.00 4.86 14.40 16.00 | 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 FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 8.014 Eq. H1-1b 3 8.00 | | Flexure Tens 8.014 Eq. H1-1b 3 8.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 2.87E+02 2.30E+03 2.11E+02 | | 5.88E+01 0.00E+00 0.00E+00 | | Flexure Tens 2.87E+02 2.30E+03 8.19E+02 | | 5.88E+01 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| 56. LOAD LIST 4 57. PARAMETER 2 58. CODE AISC UNIFIED 2010 59. FYLD 7200 ALL 60. FU 9360 ALL 61. METHOD ASD 62. STP 1 ALL 63. TRACK 2 ALL 64. 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 W24X62 (AISC SECTIONS) FAIL Eq. H1-1b 8.051 4 0.00 0.00 -1540.00 8.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 139.453 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 8.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 8.051(FAIL) | | Loc : 8.00 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 1.925E+02 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: -1.540E+03 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 8.307E+00 Ayy: 1.019E+01 Cw: 4.606E+03 | | Szz: 1.308E+02 Syy: 9.801E+00 | | Izz: 1.550E+03 Iyy: 3.450E+01 Ix: 1.710E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 16.000 | | 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 5.97 N/A 13.49 T.B4.1(a)-1 | | Slender 50.05 N/A 35.88 T.B4.1(a)-5 | | Flexure : Compact 5.97 9.15 24.08 T.B4.1(b)-10 | | Compact 50.05 90.55 137.27 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 5.45E+02 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 5.92E+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 4.71E+02 0.000 Eq. E7-1 4 0.00 | | Min Buck 0.00E+00 1.41E+02 0.000 Eq. E7-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 2.96E+02 0.000 Eq. E7-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.12E-01 20.81 6.23E+03 9.52E+04 7.87E+02 | | Min Buck 1.26E-01 139.45 1.86E+03 2.12E+03 2.35E+02 | | Flexural Ag Fcr Pn | | Tor Buck 1.25E-01 3.91E+03 4.94E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 1.49E+02 0.000 Eq. G2-1 4 0.00 | | Local-Y 1.92E+02 2.04E+02 0.944 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 5.77E-02 1.00 1.20 5.97 2.49E+02 | | Local-Y 7.08E-02 1.00 0.00 50.05 3.06E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 1.54E+03 3.82E+02 4.034 Eq. F2-1 4 8.00 | | Minor 0.00E+00 3.91E+01 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 6.38E+02 0.00E+00 | | Minor 6.53E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 1.54E+03 1.91E+02 8.051 Eq. F2-3 4 8.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 3.19E+02 0.00E+00 1.00 4.86 14.40 16.00 | 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 FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 8.051 Eq. H1-1b 4 8.00 | | Flexure Tens 8.051 Eq. H1-1b 4 8.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 1.91E+02 1.54E+03 1.41E+02 | | 3.91E+01 0.00E+00 0.00E+00 | | Flexure Tens 1.91E+02 1.54E+03 5.45E+02 | | 3.91E+01 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------|