V. AISC 360-10 C Weak Axis Shear G.7
Verify the available shear strength along the weak axis of a singly symmetric section per the LRFD and ASD methods of the AISD 360-10 code.
Details
From reference (2):
Verify the available shear strength and adequacy of a C9×20 ASTM A36 channel with end shears of 5.00 kips from dead load and 15.0 kips from live load in the weak direction.
STAAD.Pro Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-10 C Weak Axis Shear G.7.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 23-Jun-20
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 4 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
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 C9X20
CONSTANTS
BETA 90 ALL
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 -10
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
1 CON GY -30
LOAD COMB 3 LRFD LOAD
1 1.2 2 1.6
LOAD COMB 4 ASD LOAD
1 1.0 2 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
FYLD 36 ALL
FU 58 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
FYLD 36 ALL
FU 58 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 INCH (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= * 1 ST C9X20 (AISC SECTIONS) FAIL Eq. H1-1b 11.619 3 0.00 -720.00 0.00 24.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 74.912 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 24.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 11.619(FAIL) | | Loc : 24.00 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: -3.000E+01 | | Mx: 0.000E+00 My: -7.200E+02 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 2.189E+00 Ayy: 4.032E+00 Cw: 3.933E+01 | | Szz: 1.353E+01 Syy: 1.195E+00 | | Izz: 6.090E+01 Iyy: 2.410E+00 Ix: 4.270E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 36.000 Fu: 58.000 | |-----------------------------------------------------------------------| | Actual Member Length: 48.000 | | 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 6.42 N/A 15.89 T.B4.1(a)-1 | | Non-Slender 18.25 N/A 42.29 T.B4.1(a)-5 | | Flexure : Compact 6.42 10.79 28.38 T.B4.1(b)-10 | | Compact 18.25 106.72 161.78 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 4 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield -0.00E+00 1.90E+02 0.000 Eq. D2-1 3 0.00 | | Rupture -0.00E+00 2.55E+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 1.88E+02 0.000 Eq. E3-1 3 0.00 | | Min Buck 0.00E+00 1.42E+02 0.000 Eq. E3-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 1.70E+02 0.000 Eq. E4-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 5.87E+00 14.90 3.56E+01 1.29E+03 2.09E+02 | | Min Buck 5.87E+00 74.91 2.68E+01 5.10E+01 1.57E+02 | | Flexural Ag Fcr Pn | | Tor Buck 5.87E+00 3.22E+01 1.89E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 3.00E+01 4.26E+01 0.705 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 7.84E+01 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.19E+00 1.00 1.20 6.42 4.73E+01 | | Local-Y 4.03E+00 1.00 5.00 18.25 8.71E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 5.48E+02 0.000 Eq. F2-1 3 0.00 | | Minor -7.20E+02 6.20E+01 11.619 Eq. F6-1 3 24.00 | | Intermediate Mn My | | Major 6.08E+02 0.00E+00 | | Minor 6.89E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 5.21E+02 0.000 Eq. F2-2 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 5.78E+02 0.00E+00 1.00 32.01 174.62 48.00 | STAAD SPACE -- PAGE NO. 5 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 11.619 Eq. H1-1b 3 24.00 | | Flexure Tens 11.619 Eq. H1-1b 3 24.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 5.21E+02 -0.00E+00 1.42E+02 | | 6.20E+01 -7.20E+02 0.00E+00 | | Flexure Tens 5.21E+02 -0.00E+00 1.90E+02 | | 6.20E+01 -7.20E+02 -0.00E+00 | |-----------------------------------------------------------------------| 49. LOAD LIST 4 50. PARAMETER 2 51. CODE AISC UNIFIED 2010 52. METHOD ASD 53. FYLD 36 ALL 54. FU 58 ALL 55. TRACK 2 ALL 56. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 6 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= * 1 ST C9X20 (AISC SECTIONS) FAIL Eq. H1-1b 11.642 4 0.00 -480.00 0.00 24.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 74.912 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 24.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 11.642(FAIL) | | Loc : 24.00 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: -2.000E+01 | | Mx: 0.000E+00 My: -4.800E+02 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 2.189E+00 Ayy: 4.032E+00 Cw: 3.933E+01 | | Szz: 1.353E+01 Syy: 1.195E+00 | | Izz: 6.090E+01 Iyy: 2.410E+00 Ix: 4.270E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 36.000 Fu: 58.000 | |-----------------------------------------------------------------------| | Actual Member Length: 48.000 | | 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 6.42 N/A 15.89 T.B4.1(a)-1 | | Non-Slender 18.25 N/A 42.29 T.B4.1(a)-5 | | Flexure : Compact 6.42 10.79 28.38 T.B4.1(b)-10 | | Compact 18.25 106.72 161.78 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield -0.00E+00 1.27E+02 0.000 Eq. D2-1 4 0.00 | | Rupture -0.00E+00 1.70E+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 1.25E+02 0.000 Eq. E3-1 4 0.00 | | Min Buck 0.00E+00 9.42E+01 0.000 Eq. E3-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 1.13E+02 0.000 Eq. E4-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 5.87E+00 14.90 3.56E+01 1.29E+03 2.09E+02 | | Min Buck 5.87E+00 74.91 2.68E+01 5.10E+01 1.57E+02 | | Flexural Ag Fcr Pn | | Tor Buck 5.87E+00 3.22E+01 1.89E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 2.00E+01 2.83E+01 0.706 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 5.22E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.19E+00 1.00 1.20 6.42 4.73E+01 | | Local-Y 4.03E+00 1.00 5.00 18.25 8.71E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 3.64E+02 0.000 Eq. F2-1 4 0.00 | | Minor -4.80E+02 4.12E+01 11.642 Eq. F6-1 4 24.00 | | Intermediate Mn My | | Major 6.08E+02 0.00E+00 | | Minor 6.89E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 3.46E+02 0.000 Eq. F2-2 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 5.78E+02 0.00E+00 1.00 32.01 174.62 48.00 | STAAD SPACE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 11.642 Eq. H1-1b 4 24.00 | | Flexure Tens 11.642 Eq. H1-1b 4 24.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 3.46E+02 -0.00E+00 9.42E+01 | | 4.12E+01 -4.80E+02 0.00E+00 | | Flexure Tens 3.46E+02 -0.00E+00 1.27E+02 | | 4.12E+01 -4.80E+02 -0.00E+00 | |-----------------------------------------------------------------------|