V. AISC 360-10 HSST Torsional Strength H.5A
Verify the torsional strength of an rectangular HSS section per the LRFD and ASD methods of the AISC 360-10 code.
Details
From reference (2):
Determine the available torsional strength of an ASTM A500 Grade B HSS6×4×1/4.
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 Torsional Strength H.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 29-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 HSST6X4X0.25
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
UNIT INCHES KIP
MEMBER LOAD
1 UMOM GX -1.5
UNIT FEET KIP
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
FYLD 46 ALL
FU 58 ALL
TORSION 1 ALL
TND 3 ALL
TRACK 2 ALL
CHECK CODE ALL
UNIT INCHES KIP
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
FYLD 46 ALL
FU 58 ALL
TORSION 1 ALL
TND 3 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 HSST6X4X0.25 (AISC SECTIONS) PASS Eq. H3-1 0.287 1 0.00 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 29.875 L/C : 1 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 1 Ratio : 0.287(PASS) | | Loc : 0.00 Condition : Eq. H3-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 7.200E+01 My: 0.000E+00 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.538E+00 Ayy: 2.470E+00 Cw: 0.000E+00 | | Szz: 6.967E+00 Syy: 5.550E+00 | | Izz: 2.090E+01 Iyy: 1.110E+01 Ix: 2.360E+01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 46.000 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 0.00 N/A 0.00 N/A | | Non-Slender 22.75 N/A 35.15 T.B4.1(a)-6 | | Flexure : Compact 14.17 28.12 35.15 T.B4.1(b)-17 | | Compact 22.75 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 INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 1.78E+02 0.000 Eq. D2-1 1 0.00 | | Rupture 0.00E+00 1.87E+02 0.000 Eq. D2-2 1 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 1.72E+02 0.000 Eq. E3-1 1 0.00 | | Min Buck 0.00E+00 1.68E+02 0.000 Eq. E3-1 1 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 4.30E+00 21.77 4.46E+01 6.04E+02 1.92E+02 | | Min Buck 4.30E+00 29.88 4.33E+01 3.21E+02 1.86E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 3.82E+01 0.000 Eq. G2-1 1 0.00 | | Local-Y 0.00E+00 6.14E+01 0.000 Eq. G2-1 1 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 1.54E+00 1.00 5.00 14.17 4.25E+01 | | Local-Y 2.47E+00 1.00 5.00 22.75 6.82E+01 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 7.20E+01 2.51E+02 0.287 Eq. H3-1 1 0.00 | | Intermediate Fcr Tn | | 2.76E+01 2.79E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 3.53E+02 0.000 Eq. F7-1 1 0.00 | | Minor 0.00E+00 2.67E+02 0.000 Eq. F7-1 1 0.00 | | Intermediate Mn My | | Major 3.92E+02 0.00E+00 | | Minor 2.97E+02 0.00E+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 0.000 Eq. H1-1b 1 0.00 | | Flexure Tens 0.000 Eq. H1-1b 1 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 3.53E+02 0.00E+00 1.68E+02 | | 2.67E+02 0.00E+00 0.00E+00 | | Flexure Tens 3.53E+02 0.00E+00 1.78E+02 | | 2.67E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP TORSION SHEAR INTERACTION | | RATIO CRITERIA L/C LOC | | Flx Tor Comp Shr 0.082 Eq. H3-6 1 0.00 | | Flx Tor Tens Shr 0.082 Eq. H3-6 1 0.00 | | Intermediate Mcx / Mcy / Mrx / Mry / | | Vcx / Vcy / Vrx / Vry / | | Tc Tr Pc Pr | | Flx Tor Comp Shr 3.53E+02 2.67E+02 0.00E+00 0.00E+00 | | 3.82E+01 6.14E+01 0.00E+00 0.00E+00 | | 2.51E+02 7.20E+01 1.68E+02 0.00E+00 | | Flx Tor Tens Shr 3.53E+02 2.67E+02 0.00E+00 0.00E+00 | | 3.82E+01 6.14E+01 0.00E+00 0.00E+00 | | 2.51E+02 7.20E+01 1.78E+02 0.00E+00 | |-----------------------------------------------------------------------| |---------------------------------------------------------------------------------| | AISC DESIGN GUIDE-9 | |---------------------------------------------------------------------------------| | Member: 1 Section: HSST6X4X0.25 AISC | | End Condition: Fix-Free | | Shear Capacity : 2.4840E+01 Shear Criteria : DG9 Eq. 4.13 | | Normal Capacity: 4.1400E+01 Normal Criteria: DG9 Eq. 4.12 | |---------------------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 6 | Stress Point Shear Ratio LC/ | Stress Point Normal Ratio LC/ | | Sect | Sect | | Mid Flange: 0.00000E+00 0.0000 1 | Flange Edge: 0.00000E+00 0.0000 1 | | 0.000 | 0.000 | | FL/WB Junc: 6.43777E+00 0.2592 1 | | | 0.000 | | | Mid-Web: 6.43777E+00 0.2592 1 | | | 0.000 | | |---------------------------------------------------------------------------------| | Pure Torsion Shear Stress Criteria: DG9 T4.1 | | Flange Edge: 6.43777E+00 Web Edge: 6.43777E+00 | |---------------------------------------------------------------------------------| | Pure Flexure Shear Stress Criteria: DG9 Eq. 4.6 | | Flange Edge: 0.00000E+00 FL/WB Junc: 0.00000E+00 Mid-Web: 0.00000E+00 | |---------------------------------------------------------------------------------| | Direct Axial Bending Stress Criteria: DG9 Eq. 4.5 | | Flange Edge: 0.00000E+00 | |---------------------------------------------------------------------------------| 43. UNIT INCHES KIP 44. PARAMETER 2 45. CODE AISC UNIFIED 2010 46. METHOD ASD 47. FYLD 46 ALL 48. FU 58 ALL 49. TORSION 1 ALL 50. TND 3 ALL 51. TRACK 2 ALL 52. 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. 7 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 HSST6X4X0.25 (AISC SECTIONS) PASS Eq. H3-1 0.431 1 0.00 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 29.875 L/C : 1 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 1 Ratio : 0.431(PASS) | | Loc : 0.00 Condition : Eq. H3-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 7.200E+01 My: 0.000E+00 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.538E+00 Ayy: 2.470E+00 Cw: 0.000E+00 | | Szz: 6.967E+00 Syy: 5.550E+00 | | Izz: 2.090E+01 Iyy: 1.110E+01 Ix: 2.360E+01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 46.000 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 0.00 N/A 0.00 N/A | | Non-Slender 22.75 N/A 35.15 T.B4.1(a)-6 | | Flexure : Compact 14.17 28.12 35.15 T.B4.1(b)-17 | | Compact 22.75 60.76 143.12 T.B4.1(b)-19 | 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 AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 1.18E+02 0.000 Eq. D2-1 1 0.00 | | Rupture 0.00E+00 1.25E+02 0.000 Eq. D2-2 1 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 1.15E+02 0.000 Eq. E3-1 1 0.00 | | Min Buck 0.00E+00 1.12E+02 0.000 Eq. E3-1 1 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 4.30E+00 21.77 4.46E+01 6.04E+02 1.92E+02 | | Min Buck 4.30E+00 29.88 4.33E+01 3.21E+02 1.86E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 2.54E+01 0.000 Eq. G2-1 1 0.00 | | Local-Y 0.00E+00 4.08E+01 0.000 Eq. G2-1 1 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 1.54E+00 1.00 5.00 14.17 4.25E+01 | | Local-Y 2.47E+00 1.00 5.00 22.75 6.82E+01 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 7.20E+01 1.67E+02 0.431 Eq. H3-1 1 0.00 | | Intermediate Fcr Tn | | 2.76E+01 2.79E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 2.35E+02 0.000 Eq. F7-1 1 0.00 | | Minor 0.00E+00 1.78E+02 0.000 Eq. F7-1 1 0.00 | | Intermediate Mn My | | Major 3.92E+02 0.00E+00 | | Minor 2.97E+02 0.00E+00 | STAAD SPACE -- PAGE NO. 9 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 0.000 Eq. H1-1b 1 0.00 | | Flexure Tens 0.000 Eq. H1-1b 1 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 2.35E+02 0.00E+00 1.12E+02 | | 1.78E+02 0.00E+00 0.00E+00 | | Flexure Tens 2.35E+02 0.00E+00 1.18E+02 | | 1.78E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP TORSION SHEAR INTERACTION | | RATIO CRITERIA L/C LOC | | Flx Tor Comp Shr 0.186 Eq. H3-6 1 0.00 | | Flx Tor Tens Shr 0.186 Eq. H3-6 1 0.00 | | Intermediate Mcx / Mcy / Mrx / Mry / | | Vcx / Vcy / Vrx / Vry / | | Tc Tr Pc Pr | | Flx Tor Comp Shr 2.35E+02 1.78E+02 0.00E+00 0.00E+00 | | 2.54E+01 4.08E+01 0.00E+00 0.00E+00 | | 1.67E+02 7.20E+01 1.12E+02 0.00E+00 | | Flx Tor Tens Shr 2.35E+02 1.78E+02 0.00E+00 0.00E+00 | | 2.54E+01 4.08E+01 0.00E+00 0.00E+00 | | 1.67E+02 7.20E+01 1.18E+02 0.00E+00 | |-----------------------------------------------------------------------| |---------------------------------------------------------------------------------| | AISC DESIGN GUIDE-9 | |---------------------------------------------------------------------------------| | Member: 1 Section: HSST6X4X0.25 AISC | | End Condition: Fix-Free | | Shear Capacity : 1.6527E+01 Shear Criteria : DG9 Eq. 4.18 | | Normal Capacity: 2.7545E+01 Normal Criteria: DG9 Eq. 4.17 | |---------------------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 10 | Stress Point Shear Ratio LC/ | Stress Point Normal Ratio LC/ | | Sect | Sect | | Mid Flange: 0.00000E+00 0.0000 1 | Flange Edge: 0.00000E+00 0.0000 1 | | 0.000 | 0.000 | | FL/WB Junc: 6.43777E+00 0.3895 1 | | | 0.000 | | | Mid-Web: 6.43777E+00 0.3895 1 | | | 0.000 | | |---------------------------------------------------------------------------------| | Pure Torsion Shear Stress Criteria: DG9 T4.1 | | Flange Edge: 6.43777E+00 Web Edge: 6.43777E+00 | |---------------------------------------------------------------------------------| | Pure Flexure Shear Stress Criteria: DG9 Eq. 4.6 | | Flange Edge: 0.00000E+00 FL/WB Junc: 0.00000E+00 Mid-Web: 0.00000E+00 | |---------------------------------------------------------------------------------| | Direct Axial Bending Stress Criteria: DG9 Eq. 4.5 | | Flange Edge: 0.00000E+00 | |---------------------------------------------------------------------------------|