V. AISC 360-05 HSST D.4
Details
From reference (2):
Verify, by LRFD and ASD, the strength of an HSS6×4×3/8, ASTM A500 grade B, with a length of 30 ft. The member is carrying a dead load of 35 kips and a live load of 105 kips in tension. Assume the end connection is fillet welded to a 1/2 in. thick single concentric gusset plate and has a length of 16 in.
Validation
Ultimate load:
Service load:
Tensile Yielding
LRFD:
ASD:
Tensile Rupture
Determine the shear lag factor for the effective area:
(Eq. D3-1) |
= | ||
= | ||
= |
Nominal Tensile Rupture Strength
(Eq D2-2) |
The available tensile strength:
LRFD:
ASD:
Slenderness
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-05 HSST 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 HSST6X4X0.375
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FX 35
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FX 105
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 2005
FU 8352 ALL
FYLD 6624 ALL
METHOD LRFD
TMAIN 300 ALL
NSF 0.936 ALL
SLF 0.9 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FU 8352 ALL
FYLD 6624 ALL
METHOD ASD
TMAIN 300 ALL
NSF 0.936 ALL
SLF 0.9 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD.Pro Output
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a ******************************************** 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) PASS Eq. H1-1a 0.927 3 210.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 231.848 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.927(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 2.100E+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: 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: 30.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.94 SLF: 0.90 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.B4.1-12 | | Flexure : Compact 8.46 28.12 35.15 T.B4.1-12 | | Compact 14.19 60.76 143.12 T.B4.1-13 | STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 2.10E+02 2.56E+02 0.821 Eq. D2-1 3 0.00 | | Rupture 2.10E+02 2.26E+02 0.927 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 4.93E+01 0.000 Sec. E1 3 0.00 | | Min Buck 0.00E+00 2.60E+01 0.000 Eq. E3-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 4.29E-02 168.23 1.28E+03 1.46E+03 5.48E+01 | | Min Buck 4.29E-02 231.85 6.72E+02 7.67E+02 2.89E+01 | |-----------------------------------------------------------------------| | 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 0.00E+00 8.59E+01 0.000 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 0.00E+00 4.11E+01 0.000 Eq. F7-1 3 0.00 | | 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. 8 STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a ******************************************** 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 0.927 Eq. H1-1a 3 0.00 | | Intermediate Mcx / Mrx / Pc / | | Mcy Mry Pr | | Flexure Comp 4.11E+01 0.00E+00 2.60E+01 | | 3.08E+01 0.00E+00 0.00E+00 | | Flexure Tens 4.11E+01 0.00E+00 2.26E+02 | | 3.08E+01 0.00E+00 2.10E+02 | |-----------------------------------------------------------------------| 50. LOAD LIST 4 51. PARAMETER 2 52. CODE AISC UNIFIED 2005 53. FU 8352 ALL 54. FYLD 6624 ALL 55. METHOD ASD 56. TMAIN 300 ALL 57. NSF 0.936 ALL 58. SLF 0.9 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-360-05-ASD) v3.3a ******************************************** 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) PASS Eq. H1-1a 0.927 4 140.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 231.848 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.927(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.400E+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: 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: 30.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.94 SLF: 0.90 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.B4.1-12 | | Flexure : Compact 8.46 28.12 35.15 T.B4.1-12 | | Compact 14.19 60.76 143.12 T.B4.1-13 | STAAD SPACE -- PAGE NO. 10 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 1.40E+02 1.70E+02 0.822 Eq. D2-1 4 0.00 | | Rupture 1.40E+02 1.51E+02 0.927 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 3.28E+01 0.000 Sec. E1 4 0.00 | | Min Buck 0.00E+00 1.73E+01 0.000 Eq. E3-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 4.29E-02 168.23 1.28E+03 1.46E+03 5.48E+01 | | Min Buck 4.29E-02 231.85 6.72E+02 7.67E+02 2.89E+01 | |-----------------------------------------------------------------------| | 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 0.00E+00 5.71E+01 0.000 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 0.00E+00 2.73E+01 0.000 Eq. F7-1 4 0.00 | | 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. 11 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** 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 0.927 Eq. H1-1a 4 0.00 | | Intermediate Mcx / Mrx / Pc / | | Mcy Mry Pr | | Flexure Comp 2.73E+01 0.00E+00 1.73E+01 | | 2.05E+01 0.00E+00 0.00E+00 | | Flexure Tens 2.73E+01 0.00E+00 1.51E+02 | | 2.05E+01 0.00E+00 1.40E+02 | |-----------------------------------------------------------------------|