V. AISC 360-05 2L D.6
Details
From reference (2):
A 2L4×4×2 (3/8-in. separation), ASTM A36, has one line of (8) ¾-in. diameter bolts in standard holes and is 25 ft in length. The double angle is carrying a dead load of 40 kips and a live load of 120 kips in tension. Verify the strength by both LRFD and ASD.
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| Tensile yielding ϕtPn (kips) [LRFD] | 243 | 243 | none | |
| Tensile rupture ϕtPn (kips) [LRFD] | 272 | 272 | none | |
| Tensile yielding Pn/Ωt (kips) [ASD] | 162 | 162 | none | |
| Tensile rupture Pn/Ωt (kips) [ASD] | 182 | 182 | none | |
| Slenderness ratio | 248 | 246.344 | negligible |
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-05 2L D.6.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 25 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 LD L40408 SP 0.03125
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 2005
FU 8352 ALL
FYLD 5184 ALL
METHOD LRFD
TMAIN 300 ALL
NSF 0.884 ALL
SLF 0.944 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FU 8352 ALL
FYLD 5184 ALL
METHOD ASD
TMAIN 300 ALL
NSF 0.884 ALL
SLF 0.944 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 LD L40408 (AISC SECTIONS) PASS Eq. H1-1a 0.988 3 240.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 246.344 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.988(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: 4.000E+00 Ayy: 2.000E+00 Cw: 0.000E+00 | | Szz: 3.949E+00 Syy: 6.022E+00 | | Izz: 1.112E+01 Iyy: 2.522E+01 Ix: 6.250E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 5183.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 25.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.88 SLF: 0.94 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 8.00 N/A 12.77 T.B4.1-5 | | N/A N/A N/A N/A N/A | | Flexure : Compact 8.00 15.33 25.83 T.B4.1-6 | | N/A N/A N/A N/A N/A | 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 2.40E+02 2.43E+02 0.988 Eq. D2-1 3 0.00 | | Rupture 2.40E+02 2.72E+02 0.882 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 2.79E+01 0.000 Sec. E1 3 0.00 | | Min Buck 0.00E+00 6.33E+01 0.000 Eq. E3-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 6.27E+01 0.000 Eq. E4-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 5.21E-02 246.34 5.96E+02 6.79E+02 3.10E+01 | | Min Buck 5.21E-02 163.64 1.35E+03 1.54E+03 7.03E+01 | | Flexural Ag Fcr Pn | | Tor Buck 0.00E+00 1.34E+03 6.97E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -0.00E+00 7.78E+01 0.000 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 3.89E+01 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.78E-02 1.00 1.20 8.00 8.64E+01 | | Local-Y 1.39E-02 1.00 1.20 8.00 4.32E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 1.71E+01 0.000 Eq. F9-1 3 0.00 | | Minor 0.00E+00 2.60E+01 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 1.90E+01 0.00E+00 | | Minor 2.89E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 6.81E+01 0.000 Eq. F9-4 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 7.56E+01 0.00E+00 1.00 0.00 0.00 25.00 | 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. H2-1 3 0.00 | | Flexure Tens 0.988 Eq. H1-1a 3 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 0.00E+00 | | 7.46E+03 7.46E+03 5.36E+02 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Tens 1.71E+01 -0.00E+00 2.43E+02 | | 2.60E+01 0.00E+00 2.40E+02 | |-----------------------------------------------------------------------| 50. LOAD LIST 4 51. PARAMETER 2 52. CODE AISC UNIFIED 2005 53. FU 8352 ALL 54. FYLD 5184 ALL 55. METHOD ASD 56. TMAIN 300 ALL 57. NSF 0.884 ALL 58. SLF 0.944 ALL 59. TRACK 2 ALL 60. CHECK CODE ALL STEEL DESIGN 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 LD L40408 (AISC SECTIONS) PASS Eq. H1-1a 0.990 4 160.00 T 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 246.344 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.990(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: 4.000E+00 Ayy: 2.000E+00 Cw: 0.000E+00 | | Szz: 3.949E+00 Syy: 6.022E+00 | | Izz: 1.112E+01 Iyy: 2.522E+01 Ix: 6.250E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 5183.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 25.000 | | Design Parameters | | Kz: 1.00 Ky: 1.00 NSF: 0.88 SLF: 0.94 CSP: 12.00 | |-----------------------------------------------------------------------| | SECTION CLASS UNSTIFFENED / λ λp λr CASE | | STIFFENED | | Compression : Non-Slender 8.00 N/A 12.77 T.B4.1-5 | | N/A N/A N/A N/A N/A | | Flexure : Compact 8.00 15.33 25.83 T.B4.1-6 | | N/A N/A N/A N/A N/A | 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 1.60E+02 1.62E+02 0.990 Eq. D2-1 4 0.00 | | Rupture 1.60E+02 1.82E+02 0.882 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 1.86E+01 0.000 Sec. E1 4 0.00 | | Min Buck 0.00E+00 4.21E+01 0.000 Eq. E3-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 4.17E+01 0.000 Eq. E4-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 5.21E-02 246.34 5.96E+02 6.79E+02 3.10E+01 | | Min Buck 5.21E-02 163.64 1.35E+03 1.54E+03 7.03E+01 | | Flexural Ag Fcr Pn | | Tor Buck 0.00E+00 1.34E+03 6.97E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -0.00E+00 5.17E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 2.59E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 2.78E-02 1.00 1.20 8.00 8.64E+01 | | Local-Y 1.39E-02 1.00 1.20 8.00 4.32E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 1.14E+01 0.000 Eq. F9-1 4 0.00 | | Minor 0.00E+00 1.73E+01 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 1.90E+01 0.00E+00 | | Minor 2.89E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 4.53E+01 0.000 Eq. F9-4 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 7.56E+01 0.00E+00 1.00 0.00 0.00 25.00 | 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. H2-1 4 0.00 | | Flexure Tens 0.990 Eq. H1-1a 4 0.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 0.00E+00 0.00E+00 0.00E+00 | | 4.97E+03 4.97E+03 3.57E+02 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Tens 1.14E+01 -0.00E+00 1.62E+02 | | 1.73E+01 0.00E+00 1.60E+02 | |-----------------------------------------------------------------------|