V. AISC 360-10 HSSP Torsional Strength H.5B
Verify the torsional strength of an round 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 HSS5.000×0.250 that is 14 ft long.
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 HSSP 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 14 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 HSSP5X0.25
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
UNIT INCHES KIP
MEMBER LOAD
1 UMOM GX -0.6
UNIT FEET KIP
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
FU 58 ALL
FYLD 42 ALL
TND 3 ALL
TORSION 1 ALL
TRACK 2 ALL
CHECK CODE ALL
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
FU 58 ALL
FYLD 42 ALL
TND 3 ALL
TORSION 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 INCH (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 ST HSSP5X0.25 (AISC SECTIONS) PASS Eq. H3-1 0.559 1 0.00 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 99.547 L/C : 1 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 1 Ratio : 0.559(PASS) | | Loc : 0.00 Condition : Eq. H3-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 1.008E+02 My: 0.000E+00 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.840E+00 Ayy: 1.840E+00 Cw: 0.000E+00 | | Szz: 3.976E+00 Syy: 3.976E+00 | | Izz: 9.940E+00 Iyy: 9.940E+00 Ix: 1.988E+01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 42.000 Fu: 58.000 | |-----------------------------------------------------------------------| | Actual Member Length: 168.000 | | 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 21.46 N/A 75.95 T.B4.1(a)-9 | | Non-Slender 21.46 N/A 75.95 T.B4.1(a)-9 | | Flexure : Compact 21.46 48.33 214.05 T.B4.1(b)-20 | | Compact 21.46 48.33 214.05 T.B4.1(b)-20 | 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 1.32E+02 0.000 Eq. D2-1 1 0.00 | | Rupture 0.00E+00 1.52E+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 7.18E+01 0.000 Eq. E3-1 1 0.00 | | Min Buck 0.00E+00 7.18E+01 0.000 Eq. E3-1 1 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 3.49E+00 99.55 2.29E+01 2.89E+01 7.98E+01 | | Min Buck 3.49E+00 99.55 2.29E+01 2.89E+01 7.98E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 3.96E+01 0.000 Eq. G6-1 1 0.00 | | Local-Y 0.00E+00 3.96E+01 0.000 Eq. G6-1 1 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 3.49E+00 0.00 0.00 0.00 4.40E+01 | | Local-Y 3.49E+00 0.00 0.00 0.00 4.40E+01 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 1.01E+02 1.80E+02 0.559 Eq. H3-1 1 0.00 | | Intermediate Fcr Tn | | 2.52E+01 2.00E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 2.00E+02 0.000 Eq. F8-1 1 0.00 | | Minor 0.00E+00 2.00E+02 0.000 Eq. F8-1 1 0.00 | | Intermediate Mn My | | Major 2.23E+02 0.00E+00 | | Minor 2.23E+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 2.00E+02 0.00E+00 7.18E+01 | | 2.00E+02 0.00E+00 0.00E+00 | | Flexure Tens 2.00E+02 0.00E+00 1.32E+02 | | 2.00E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP TORSION SHEAR INTERACTION | | RATIO CRITERIA L/C LOC | | Flx Tor Comp Shr 0.313 Eq. H3-6 1 0.00 | | Flx Tor Tens Shr 0.313 Eq. H3-6 1 0.00 | | Intermediate Mcx / Mcy / Mrx / Mry / | | Vcx / Vcy / Vrx / Vry / | | Tc Tr Pc Pr | | Flx Tor Comp Shr 2.00E+02 2.00E+02 0.00E+00 0.00E+00 | | 3.96E+01 3.96E+01 0.00E+00 0.00E+00 | | 1.80E+02 1.01E+02 7.18E+01 0.00E+00 | | Flx Tor Tens Shr 2.00E+02 2.00E+02 0.00E+00 0.00E+00 | | 3.96E+01 3.96E+01 0.00E+00 0.00E+00 | | 1.80E+02 1.01E+02 1.32E+02 0.00E+00 | |-----------------------------------------------------------------------| |---------------------------------------------------------------------------------| | AISC DESIGN GUIDE-9 | |---------------------------------------------------------------------------------| | Member: 1 Section: HSSP5X0.25 AISC | | End Condition: Fix-Free | | Shear Capacity : 2.2680E+01 Shear Criteria : DG9 Eq. 4.13 | | Normal Capacity: 3.7800E+01 Normal Criteria: DG9 Eq. 4.12 | |---------------------------------------------------------------------------------| | Stress Point Shear Ratio LC/ | Stress Point Normal Ratio LC/ | | Sect | Sect | | Uniform: 1.14946E+01 0.5068 1 | Uniform: 0.00000E+00 0.0000 1 | | 0.000 | 0.000 | |---------------------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 6 | Pure Torsion Shear Stress Criteria: DG9 T4.1 | | Uniform: 1.14946E+01 | |---------------------------------------------------------------------------------| | Pure Flexure Shear Stress Criteria: DG9 Eq. 4.6 | | Uniform: 0.00000E+00 | |---------------------------------------------------------------------------------| | Direct Axial Bending Stress Criteria: DG9 Eq. 4.5 | | Uniform: 0.00000E+00 | |---------------------------------------------------------------------------------| 43. PARAMETER 2 44. CODE AISC UNIFIED 2010 45. METHOD ASD 46. FU 58 ALL 47. FYLD 42 ALL 48. TND 3 ALL 49. TORSION 1 ALL 50. TRACK 2 ALL 51. 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 HSSP5X0.25 (AISC SECTIONS) PASS Eq. H3-1 0.840 1 0.00 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 99.547 L/C : 1 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 1 Ratio : 0.840(PASS) | | Loc : 0.00 Condition : Eq. H3-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 1.008E+02 My: 0.000E+00 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.840E+00 Ayy: 1.840E+00 Cw: 0.000E+00 | | Szz: 3.976E+00 Syy: 3.976E+00 | | Izz: 9.940E+00 Iyy: 9.940E+00 Ix: 1.988E+01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 42.000 Fu: 58.000 | |-----------------------------------------------------------------------| | Actual Member Length: 168.000 | | 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 21.46 N/A 75.95 T.B4.1(a)-9 | | Non-Slender 21.46 N/A 75.95 T.B4.1(a)-9 | | Flexure : Compact 21.46 48.33 214.05 T.B4.1(b)-20 | | Compact 21.46 48.33 214.05 T.B4.1(b)-20 | 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 8.78E+01 0.000 Eq. D2-1 1 0.00 | | Rupture 0.00E+00 1.01E+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 4.78E+01 0.000 Eq. E3-1 1 0.00 | | Min Buck 0.00E+00 4.78E+01 0.000 Eq. E3-1 1 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 3.49E+00 99.55 2.29E+01 2.89E+01 7.98E+01 | | Min Buck 3.49E+00 99.55 2.29E+01 2.89E+01 7.98E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 2.63E+01 0.000 Eq. G6-1 1 0.00 | | Local-Y 0.00E+00 2.63E+01 0.000 Eq. G6-1 1 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 3.49E+00 0.00 0.00 0.00 4.40E+01 | | Local-Y 3.49E+00 0.00 0.00 0.00 4.40E+01 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 1.01E+02 1.20E+02 0.840 Eq. H3-1 1 0.00 | | Intermediate Fcr Tn | | 2.52E+01 2.00E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 1.33E+02 0.000 Eq. F8-1 1 0.00 | | Minor 0.00E+00 1.33E+02 0.000 Eq. F8-1 1 0.00 | | Intermediate Mn My | | Major 2.23E+02 0.00E+00 | | Minor 2.23E+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 1.33E+02 0.00E+00 4.78E+01 | | 1.33E+02 0.00E+00 0.00E+00 | | Flexure Tens 1.33E+02 0.00E+00 8.78E+01 | | 1.33E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP TORSION SHEAR INTERACTION | | RATIO CRITERIA L/C LOC | | Flx Tor Comp Shr 0.706 Eq. H3-6 1 0.00 | | Flx Tor Tens Shr 0.706 Eq. H3-6 1 0.00 | | Intermediate Mcx / Mcy / Mrx / Mry / | | Vcx / Vcy / Vrx / Vry / | | Tc Tr Pc Pr | | Flx Tor Comp Shr 1.33E+02 1.33E+02 0.00E+00 0.00E+00 | | 2.63E+01 2.63E+01 0.00E+00 0.00E+00 | | 1.20E+02 1.01E+02 4.78E+01 0.00E+00 | | Flx Tor Tens Shr 1.33E+02 1.33E+02 0.00E+00 0.00E+00 | | 2.63E+01 2.63E+01 0.00E+00 0.00E+00 | | 1.20E+02 1.01E+02 8.78E+01 0.00E+00 | |-----------------------------------------------------------------------| |---------------------------------------------------------------------------------| | AISC DESIGN GUIDE-9 | |---------------------------------------------------------------------------------| | Member: 1 Section: HSSP5X0.25 AISC | | End Condition: Fix-Free | | Shear Capacity : 1.5090E+01 Shear Criteria : DG9 Eq. 4.18 | | Normal Capacity: 2.5150E+01 Normal Criteria: DG9 Eq. 4.17 | |---------------------------------------------------------------------------------| | Stress Point Shear Ratio LC/ | Stress Point Normal Ratio LC/ | | Sect | Sect | | Uniform: 1.14946E+01 0.7617 1 | Uniform: 0.00000E+00 0.0000 1 | | 0.000 | 0.000 | |---------------------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 10 | Pure Torsion Shear Stress Criteria: DG9 T4.1 | | Uniform: 1.14946E+01 | |---------------------------------------------------------------------------------| | Pure Flexure Shear Stress Criteria: DG9 Eq. 4.6 | | Uniform: 0.00000E+00 | |---------------------------------------------------------------------------------| | Direct Axial Bending Stress Criteria: DG9 Eq. 4.5 | | Uniform: 0.00000E+00 | |---------------------------------------------------------------------------------|