V. AISC 360-10 2L D.6
Verify the tensile strength a double angle 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.6, pp. D-17 - D-19
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):
A 2L4×4×1/2 (3/8-in. separation), ASTM A36, has one line of (8) 3/4-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 member tensile strength. Assume that the gusset plate and bolts are satisfactory.
See example D.6 in reference (2) for calculations.
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
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-10 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 2010
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 2010
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-360-10-LRFD) v1.4a
********************************************
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(a)-3 |
| N/A N/A N/A N/A N/A |
| Flexure : Compact 8.00 15.33 25.83 T.B4.1(b)-12 |
| N/A N/A N/A N/A N/A |
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 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 Eq. E3-1 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-02 163.61 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-360-10-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. 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 2010
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-360-10-ASD) v1.4a
********************************************
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(a)-3 |
| N/A N/A N/A N/A N/A |
| Flexure : Compact 8.00 15.33 25.83 T.B4.1(b)-12 |
| N/A N/A N/A N/A N/A |
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 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 Eq. E3-1 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-02 163.61 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-360-10-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. 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 |
|-----------------------------------------------------------------------|