V. AISC 360-10 L Shear Capacity G.3
Verify the available shear strength along the strong axis of a single angle section per the LRFD and ASD methods of the AISD 360-10 code.
Details
From reference (2):
Determine the available shear strength and adequacy of a L5×3×1/4 (LLV) ASTM A36 with end shears of 3.50 kips from dead load and 10.5 kips from live load.
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 L Shear Capacity G.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 17-May-19
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 L50304
CONSTANTS
BETA 45 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 Y -10
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
1 CON Y -20
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
METHOD LRFD
FYLD 36 ALL
FU 58 ALL
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 L50304 (AISC SECTIONS) FAIL Eq. H2-1 14.492 3 0.00 230.75 297.25 24.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 73.620 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 24.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 14.492(FAIL) | | Loc : 24.00 Condition : Eq. H2-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 2.200E+01 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 2.307E+02 Mz: 2.973E+02 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.250E+00 Ayy: 7.500E-01 Cw: 6.060E-02 | | Szz: 5.259E-01 Syy: 1.692E+00 | | Izz: 8.247E-01 Iyy: 5.723E+00 Ix: 4.042E-02 | |-----------------------------------------------------------------------| | 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 : Slender 20.00 N/A 12.77 T.B4.1(a)-3 | | N/A N/A N/A N/A N/A | | Flexure : Non-Compact 20.00 15.33 25.83 T.B4.1(b)-12 | | N/A N/A N/A N/A N/A | 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 6.29E+01 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 8.44E+01 0.000 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 4.89E+01 0.000 Eq. E7-1 3 0.00 | | Min Buck 0.00E+00 4.02E+01 0.000 Eq. E7-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.94E+00 27.95 2.80E+01 3.66E+02 5.44E+01 | | Min Buck 1.94E+00 73.62 2.30E+01 5.28E+01 4.47E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 1.46E+01 0.000 Eq. G2-1 3 0.00 | | Local-Y 2.20E+01 2.43E+01 0.905 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 7.50E-01 1.00 1.20 12.00 1.62E+01 | | Local-Y 1.25E+00 1.00 1.20 20.00 2.70E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -2.31E+02 8.23E+01 2.805 Eq. F10-1 3 0.00 | | Minor 2.97E+02 2.56E+01 11.631 Eq. F10-1 3 24.00 | | Intermediate Mn My | | Major 9.14E+01 6.09E+01 | | Minor 2.84E+01 1.89E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -2.31E+02 8.06E+01 2.861 Eq. F10-3 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 8.96E+01 4.13E+02 1.00 0.00 0.00 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 BENDING-LEG LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Minor -2.31E+02 4.17E+01 5.539 Eq. F10-7 3 0.00 | | Intermediate Mn Me | | Minor 4.63E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR AND NORMAL STRESS INTERACTION | | | | STRESS RATIO CRITERIA L/C LOC | | Shear 1.94E+01 0.905 Eq. H3-8 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 14.492 Eq. H2-1 3 24.00 | | Flexure Tens 14.492 Eq. H2-1 3 24.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 9.59E+01 5.65E+02 0.00E+00 | | 3.35E+01 4.86E+01 2.07E+01 | | Flexure Tens 1.36E+02 5.65E+02 0.00E+00 | | 4.76E+01 4.86E+01 3.24E+01 | |-----------------------------------------------------------------------| 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 L50304 (AISC SECTIONS) FAIL Eq. H2-1 14.851 4 0.00 157.33 202.67 24.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 73.620 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 24.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 14.851(FAIL) | | Loc : 24.00 Condition : Eq. H2-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 1.500E+01 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 1.573E+02 Mz: 2.027E+02 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.250E+00 Ayy: 7.500E-01 Cw: 6.060E-02 | | Szz: 5.259E-01 Syy: 1.692E+00 | | Izz: 8.247E-01 Iyy: 5.723E+00 Ix: 4.042E-02 | |-----------------------------------------------------------------------| | 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 : Slender 20.00 N/A 12.77 T.B4.1(a)-3 | | N/A N/A N/A N/A N/A | | Flexure : Non-Compact 20.00 15.33 25.83 T.B4.1(b)-12 | | N/A N/A N/A N/A N/A | 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 4.18E+01 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 5.63E+01 0.000 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 3.25E+01 0.000 Eq. E7-1 4 0.00 | | Min Buck 0.00E+00 2.67E+01 0.000 Eq. E7-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.94E+00 27.95 2.80E+01 3.66E+02 5.44E+01 | | Min Buck 1.94E+00 73.62 2.30E+01 5.28E+01 4.47E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 9.70E+00 0.000 Eq. G2-1 4 0.00 | | Local-Y 1.50E+01 1.62E+01 0.928 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 7.50E-01 1.00 1.20 12.00 1.62E+01 | | Local-Y 1.25E+00 1.00 1.20 20.00 2.70E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -1.57E+02 5.47E+01 2.875 Eq. F10-1 4 0.00 | | Minor 2.03E+02 1.70E+01 11.919 Eq. F10-1 4 24.00 | | Intermediate Mn My | | Major 9.14E+01 6.09E+01 | | Minor 2.84E+01 1.89E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -1.57E+02 5.37E+01 2.932 Eq. F10-3 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 8.96E+01 4.13E+02 1.00 0.00 0.00 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 BENDING-LEG LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Minor -1.57E+02 2.77E+01 5.676 Eq. F10-7 4 0.00 | | Intermediate Mn Me | | Minor 4.63E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR AND NORMAL STRESS INTERACTION | | | | STRESS RATIO CRITERIA L/C LOC | | Shear 1.29E+01 0.928 Eq. H3-8 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 14.851 Eq. H2-1 4 24.00 | | Flexure Tens 14.851 Eq. H2-1 4 24.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 6.54E+01 3.85E+02 0.00E+00 | | 2.23E+01 3.23E+01 1.38E+01 | | Flexure Tens 9.30E+01 3.85E+02 0.00E+00 | | 3.17E+01 3.23E+01 2.16E+01 | |-----------------------------------------------------------------------|