V. AISC 360-10 HSST Shear Capacity G.4
Verify the available shear strength along the strong axis of a rectangular HSS 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 an HSS6×4×3/8 ASTM A500 Grade B member with end shears of 11.0 kips from dead load and 33.0 kips from live load. The beam is oriented with the shear parallel to the 6 in. dimension.
Validation
Ultimate load:
Service load:
Area of the web for shear:
Note: The corner radius is taken as 1.5× the design wall thickness per
Section B4.1b of Reference 1.
h = H - 3t = 6.0 - 3× 0.349 = 4.95 in
Section G5 of Reference 1 gives kv = 5.
Aw = 2ht = 2(4.95)(0.349) = 3.46 in2
Therefore, Cv = 1.0.
Nominal Shear Strength
| (Eq. G2-1) |
The available shear strength:
LRFD:
ASD:
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 HSST Shear Capacity G.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 HSST6X4X0.375
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 -22
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
1 CON GY -66
LOAD COMB 3 LRFD
1 1.2 2 1.6
LOAD COMB 4 ASD
1 1.0 2 1.0
PERFORM ANALYSIS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
FYLD 6624 ALL
FU 8352 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
FYLD 6624 ALL
FU 8352 ALL
METHOD ASD
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 HSST6X4X0.375 (AISC SECTIONS) FAIL Eq. H1-1b 3.215 3 0.00 0.00 -132.00 2.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 30.913 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 2.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 3.215(FAIL) | | Loc : 2.00 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 6.600E+01 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: -1.320E+02 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 2.061E+00 Ayy: 3.457E+00 Cw: 0.000E+00 | | Szz: 9.433E+00 Syy: 7.450E+00 | | Izz: 2.830E+01 Iyy: 1.490E+01 Ix: 3.280E+01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 6623.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 4.000 | | 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 0.00 N/A 0.00 N/A | | Non-Slender 14.19 N/A 35.15 T.B4.1(a)-6 | | Flexure : Compact 8.46 28.12 35.15 T.B4.1(b)-17 | | Compact 14.19 60.76 143.12 T.B4.1(b)-19 | 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 2.56E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 2.69E+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 2.47E+02 0.000 Eq. E3-1 3 0.00 | | Min Buck 0.00E+00 2.40E+02 0.000 Eq. E3-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 4.29E-02 22.43 6.40E+03 8.19E+04 2.75E+02 | | Min Buck 4.29E-02 30.91 6.21E+03 4.31E+04 2.67E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 5.12E+01 0.000 Eq. G2-1 3 0.00 | | Local-Y 6.60E+01 8.59E+01 0.769 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 1.43E-02 1.00 5.00 8.46 5.69E+01 | | Local-Y 2.40E-02 1.00 5.00 14.19 9.54E+01 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 0.00E+00 2.94E+01 0.000 Eq. H3-1 3 0.00 | | Intermediate Fcr Tn | | 3.97E+03 3.27E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 1.32E+02 4.11E+01 3.215 Eq. F7-1 3 2.00 | | Minor 0.00E+00 3.08E+01 0.000 Eq. F7-1 3 0.00 | | Intermediate Mn My | | Major 4.56E+01 0.00E+00 | | Minor 3.43E+01 0.00E+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 3.215 Eq. H1-1b 3 2.00 | | Flexure Tens 3.215 Eq. H1-1b 3 2.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 4.11E+01 1.32E+02 2.40E+02 | | 3.08E+01 0.00E+00 0.00E+00 | | Flexure Tens 4.11E+01 1.32E+02 2.56E+02 | | 3.08E+01 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| 47. LOAD LIST 4 48. PARAMETER 2 49. CODE AISC UNIFIED 2010 50. FYLD 6624 ALL 51. FU 8352 ALL 52. METHOD ASD 53. TRACK 2 ALL 54. CHECK CODE ALL STEEL DESIGN WARNING: For member# 1 the profile has been selected from HSS Rect/Round (non A1085)/Pipe tables of AISC database. Weld type is considered to be Elect-resist-weld. Thickness is already reduced from the table. Further reductions will not be done. 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 HSST6X4X0.375 (AISC SECTIONS) FAIL Eq. H1-1b 3.222 4 0.00 0.00 -88.00 2.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 30.913 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 2.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 3.222(FAIL) | | Loc : 2.00 Condition : Eq. H1-1b | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 4.400E+01 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: -8.800E+01 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 2.061E+00 Ayy: 3.457E+00 Cw: 0.000E+00 | | Szz: 9.433E+00 Syy: 7.450E+00 | | Izz: 2.830E+01 Iyy: 1.490E+01 Ix: 3.280E+01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 6623.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 4.000 | | 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 0.00 N/A 0.00 N/A | | Non-Slender 14.19 N/A 35.15 T.B4.1(a)-6 | | Flexure : Compact 8.46 28.12 35.15 T.B4.1(b)-17 | | Compact 14.19 60.76 143.12 T.B4.1(b)-19 | 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 1.70E+02 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 1.79E+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 1.65E+02 0.000 Eq. E3-1 4 0.00 | | Min Buck 0.00E+00 1.60E+02 0.000 Eq. E3-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 4.29E-02 22.43 6.40E+03 8.19E+04 2.75E+02 | | Min Buck 4.29E-02 30.91 6.21E+03 4.31E+04 2.67E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 3.41E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y 4.40E+01 5.71E+01 0.770 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 1.43E-02 1.00 5.00 8.46 5.69E+01 | | Local-Y 2.40E-02 1.00 5.00 14.19 9.54E+01 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 0.00E+00 1.96E+01 0.000 Eq. H3-1 4 0.00 | | Intermediate Fcr Tn | | 3.97E+03 3.27E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 8.80E+01 2.73E+01 3.222 Eq. F7-1 4 2.00 | | Minor 0.00E+00 2.05E+01 0.000 Eq. F7-1 4 0.00 | | Intermediate Mn My | | Major 4.56E+01 0.00E+00 | | Minor 3.43E+01 0.00E+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 3.222 Eq. H1-1b 4 2.00 | | Flexure Tens 3.222 Eq. H1-1b 4 2.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 2.73E+01 8.80E+01 1.60E+02 | | 2.05E+01 0.00E+00 0.00E+00 | | Flexure Tens 2.73E+01 8.80E+01 1.70E+02 | | 2.05E+01 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------|