V. AISC 360-10 HSSP D.5
Verify the tensile strength a round HSS section per the LRFD and ASD methods of the AISD 360-10 code.
References
- American Institute of Steel Construction. 2010 Steel Construction Manual. Fourteenth Edition. AISC: Chicago, IL.
-
American Institute of Steel Construction. 2011. Design Examples, Version 14.0. AISC:Chicago, IL. Example D.5, pp. D-14 - D-16
Note: This reference is freely available for download from the AISC website at https://www.aisc.org/globalassets/aisc/university-programs/teaching-aids/first-semester-design-examples.pdf
Details
From reference (2):
Verify the tensile strength of an HSS6×0.500, ASTM A500 Grade B, with a length of 30 ft. The member carries a dead load of 40 kips and a live load of 120 kips in tension. Assume the end connection is a fillet welded 1/2-in.- thick single concentric gusset plate with a weld length of 16 in. Assume that the gusset plate and weld are satisfactory.
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| Tensile yielding ϕtPn (kips) [LRFD] | 306 | 306 | none | |
| Tensile rupture ϕtPn (kips) [LRFD] | 329 | 329 | negligible | |
| Tensile yielding Pn/Ωt (kips) [ASD] | 203 | 203 | none | |
| Tensile rupture Pn/Ωt (kips) [ASD] | 220 | 220 | none | |
| Slenderness ratio | 184 | 183.316 | negligible |
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 D.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 21-Jan-20
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 30 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 HSSP6X0.5
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FX 40
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FX 120
LOAD COMB 3 LRFD
1 1.2 2 1.6
LOAD COMB 4 ASD
1 1.0 2 1.0
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
FU 8352 ALL
FYLD 6048 ALL
METHOD LRFD
TMAIN 300 ALL
NSF 0.936 ALL
SLF 1 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
FU 8352 ALL
FYLD 6048 ALL
METHOD ASD
TMAIN 300 ALL
NSF 0.936 ALL
SLF 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 FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 ST HSSP6X0.5 (AISC SECTIONS) PASS Eq. H1-1a 0.785 3 240.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 183.316 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.785(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 2.400E+02(T ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 4.466E+00 Ayy: 4.466E+00 Cw: 0.000E+00 | | Szz: 1.040E+01 Syy: 1.040E+01 | | Izz: 3.120E+01 Iyy: 3.120E+01 Ix: 6.240E+01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 6047.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 30.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.94 SLF: 1.00 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 12.90 N/A 75.95 T.B4.1(a)-9 | | Non-Slender 12.90 N/A 75.95 T.B4.1(a)-9 | | Flexure : Compact 12.90 48.33 214.05 T.B4.1(b)-20 | | Compact 12.90 48.33 214.05 T.B4.1(b)-20 | STAAD SPACE -- PAGE NO. 7 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 2.40E+02 3.06E+02 0.785 Eq. D2-1 3 0.00 | | Rupture 2.40E+02 3.29E+02 0.729 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 5.44E+01 0.000 Eq. E3-1 3 0.00 | | Min Buck 0.00E+00 5.44E+01 0.000 Eq. E3-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 5.62E-02 183.32 1.08E+03 1.23E+03 6.04E+01 | | Min Buck 5.62E-02 183.32 1.08E+03 1.23E+03 6.04E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 9.17E+01 0.000 Eq. G6-1 3 0.00 | | Local-Y 0.00E+00 9.17E+01 0.000 Eq. G6-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 5.62E-02 0.00 0.00 0.00 1.02E+02 | | Local-Y 5.62E-02 0.00 0.00 0.00 1.02E+02 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 0.00E+00 3.93E+01 0.000 Eq. H3-1 3 0.00 | | Intermediate Fcr Tn | | 3.63E+03 4.37E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 4.50E+01 0.000 Eq. F8-1 3 0.00 | | Minor 0.00E+00 4.50E+01 0.000 Eq. F8-1 3 0.00 | | Intermediate Mn My | | Major 5.01E+01 0.00E+00 | | Minor 5.01E+01 0.00E+00 | STAAD SPACE -- PAGE NO. 8 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 0.000 Eq. H1-1b 3 0.00 | | Flexure Tens 0.785 Eq. H1-1a 3 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 4.50E+01 0.00E+00 5.44E+01 | | 4.50E+01 0.00E+00 0.00E+00 | | Flexure Tens 4.50E+01 0.00E+00 3.06E+02 | | 4.50E+01 0.00E+00 2.40E+02 | |-----------------------------------------------------------------------| 50. LOAD LIST 4 51. PARAMETER 2 52. CODE AISC UNIFIED 2010 53. FU 8352 ALL 54. FYLD 6048 ALL 55. METHOD ASD 56. TMAIN 300 ALL 57. NSF 0.936 ALL 58. SLF 1 ALL 59. TRACK 2 ALL 60. 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. 9 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 HSSP6X0.5 (AISC SECTIONS) PASS Eq. H1-1a 0.786 4 160.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 183.316 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.786(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.600E+02(T ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: 0.000E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 4.466E+00 Ayy: 4.466E+00 Cw: 0.000E+00 | | Szz: 1.040E+01 Syy: 1.040E+01 | | Izz: 3.120E+01 Iyy: 3.120E+01 Ix: 6.240E+01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 6047.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 30.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.94 SLF: 1.00 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 12.90 N/A 75.95 T.B4.1(a)-9 | | Non-Slender 12.90 N/A 75.95 T.B4.1(a)-9 | | Flexure : Compact 12.90 48.33 214.05 T.B4.1(b)-20 | | Compact 12.90 48.33 214.05 T.B4.1(b)-20 | STAAD SPACE -- PAGE NO. 10 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 1.60E+02 2.03E+02 0.786 Eq. D2-1 4 0.00 | | Rupture 1.60E+02 2.20E+02 0.729 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 3.62E+01 0.000 Eq. E3-1 4 0.00 | | Min Buck 0.00E+00 3.62E+01 0.000 Eq. E3-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 5.62E-02 183.32 1.08E+03 1.23E+03 6.04E+01 | | Min Buck 5.62E-02 183.32 1.08E+03 1.23E+03 6.04E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 6.10E+01 0.000 Eq. G6-1 4 0.00 | | Local-Y 0.00E+00 6.10E+01 0.000 Eq. G6-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 5.62E-02 0.00 0.00 0.00 1.02E+02 | | Local-Y 5.62E-02 0.00 0.00 0.00 1.02E+02 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 0.00E+00 2.62E+01 0.000 Eq. H3-1 4 0.00 | | Intermediate Fcr Tn | | 3.63E+03 4.37E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 0.00E+00 3.00E+01 0.000 Eq. F8-1 4 0.00 | | Minor 0.00E+00 3.00E+01 0.000 Eq. F8-1 4 0.00 | | Intermediate Mn My | | Major 5.01E+01 0.00E+00 | | Minor 5.01E+01 0.00E+00 | STAAD SPACE -- PAGE NO. 11 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 0.000 Eq. H1-1b 4 0.00 | | Flexure Tens 0.786 Eq. H1-1a 4 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 3.00E+01 0.00E+00 3.62E+01 | | 3.00E+01 0.00E+00 0.00E+00 | | Flexure Tens 3.00E+01 0.00E+00 2.03E+02 | | 3.00E+01 0.00E+00 1.60E+02 | |-----------------------------------------------------------------------|