V. AISC 360-05 Double L E.5
References
- Steel Construction Manual, Version 13.0, American Institute of Steel Construction, 2005
- Design Examples, Version 13.0, American Institute of Steel Construction, 2005, Example E.5, pp.E-22 - E-25
Details
From reference (2):
Verify the strength of a 2L4×3 1/2×3/8 LLBB (3/4-in. separation) strut with a length of 8 ft and pinned ends carrying an axial dead load of 20 kips and live load of 60 kips. Also, calculate the required number of fully tightened or welded intermediate connectors required.
Validation
Refer to reference.
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕcPn (kips) [LRFD] | 127 | 127 | none | |
Pn/Ωc (kips) [ASD] | 85.0 | 84.6 | negligible |
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-05 Double L E.5.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 5-Dec-12
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 8 0; 2 0 0 0;
MEMBER INCIDENCES
1 1 2;
MEMBER PROPERTY AMERICAN
1 TABLE LD L40356 SP 0.0625
UNIT INCHES KIP
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 29000
POISSON 0.3
ISOTROPIC STEEL
E 29000
POISSON 0.3
DENSITY 0.000283
ALPHA 6e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 36 FU 58 RY 1.5 RT 1.2
ISOTROPIC STEEL_36_KSI
E 29000
POISSON 0.3
DENSITY 0.000283
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 36 FU 58 RY 1.5 RT 1.2
END DEFINE MATERIAL
UNIT FEET KIP
CONSTANTS
MATERIAL STEEL_36_KSI ALL
SUPPORTS
2 PINNED
1 FIXED BUT FY MX MZ
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
1 FY -20
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
JOINT LOAD
1 FY -60
LOAD COMB 3 ULTIMATE LOADS
1 1.2 2 1.6
LOAD COMB 4 SERVICE LOADS
1 1.0 2 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
METHOD LRFD
FU 58 ALL
FYLD 36 ALL
CSPACING 32 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
METHOD ASD
FU 58 ALL
FYLD 36 ALL
CSPACING 32 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 INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 LD L40356 (AISC SECTIONS)
PASS Eq. H2-1 0.943 3
120.00 C 0.00 0.00 0.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 76.914 L/C : 3 |
| Allowable Slenderness Ratio : 200.000 LOC : 0.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 3 Ratio : 0.943(PASS) |
| Loc : 0.00 Condition : Eq. H2-1 |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 1.200E+02(C ) 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: 2.625E+00 Ayy: 1.500E+00 Cw: 0.000E+00 |
| Szz: 2.984E+00 Syy: 3.978E+00 |
| Izz: 8.350E+00 Iyy: 1.541E+01 Ix: 2.512E-01 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 36.000 Fu: 58.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 96.000 |
| Design Parameters |
| Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 1.00 CSP: 32.00 |
|-----------------------------------------------------------------------|
| SECTION CLASS UNSTIFFENED / λ λp λr CASE |
| STIFFENED |
| Compression : Non-Slender 10.67 N/A 12.77 T.B4.1-5 |
| N/A N/A N/A N/A N/A |
| Flexure : Compact 9.33 15.33 25.83 T.B4.1-6 |
| N/A N/A N/A N/A N/A |
STAAD SPACE -- PAGE NO. 4
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Yield 0.00E+00 1.74E+02 0.000 Eq. D2-1 3 0.00 |
| Rupture 0.00E+00 2.33E+02 0.000 Eq. D2-2 3 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 1.20E+02 1.27E+02 0.943 Sec. E1 3 0.00 |
| Min Buck 1.20E+02 1.46E+02 0.822 Eq. E3-1 3 0.00 |
| Flexural |
| Tor Buck 1.20E+02 1.35E+02 0.887 Eq. E4-1 3 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 5.36E+00 76.91 2.64E+01 4.84E+01 1.41E+02 |
| Min Buck 5.36E+00 57.51 3.02E+01 8.65E+01 1.62E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 0.00E+00 2.81E+01 1.50E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 5.10E+01 0.000 Eq. G2-1 3 0.00 |
| Local-Y 0.00E+00 2.92E+01 0.000 Eq. G2-1 3 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 2.62E+00 1.00 1.20 9.33 5.67E+01 |
| Local-Y 1.50E+00 1.00 1.20 10.67 3.24E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 1.55E+02 0.000 Eq. F9-1 3 0.00 |
| Minor 0.00E+00 2.06E+02 0.000 Eq. F6-1 3 0.00 |
| Intermediate Mn My |
| Major 1.72E+02 0.00E+00 |
| Minor 2.29E+02 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 2.09E+03 0.000 Eq. F9-4 3 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 2.32E+03 0.00E+00 1.00 0.00 0.00 96.00 |
STAAD SPACE -- PAGE NO. 5
STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.943 Eq. H2-1 3 0.00 |
| Flexure Tens 0.000 Eq. H1-1b 3 0.00 |
| Intermediate frbw / frbz / fra / |
| Fcbw Fcbz Fca |
| Flexure Comp 0.00E+00 0.00E+00 2.24E+01 |
| 5.18E+01 5.18E+01 2.37E+01 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Tens 1.55E+02 -0.00E+00 1.74E+02 |
| 2.06E+02 0.00E+00 0.00E+00 |
|-----------------------------------------------------------------------|
62. LOAD LIST 4
63. PARAMETER 2
64. CODE AISC UNIFIED 2005
65. METHOD ASD
66. FU 58 ALL
67. FYLD 36 ALL
68. CSPACING 32 ALL
69. TRACK 2 ALL
70. CHECK CODE ALL
STEEL DESIGN
STAAD SPACE -- PAGE NO. 6
STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
1 LD L40356 (AISC SECTIONS)
PASS Eq. H2-1 0.945 4
80.00 C 0.00 0.00 0.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 76.914 L/C : 4 |
| Allowable Slenderness Ratio : 200.000 LOC : 0.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 4 Ratio : 0.945(PASS) |
| Loc : 0.00 Condition : Eq. H2-1 |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 8.000E+01(C ) 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: 2.625E+00 Ayy: 1.500E+00 Cw: 0.000E+00 |
| Szz: 2.984E+00 Syy: 3.978E+00 |
| Izz: 8.350E+00 Iyy: 1.541E+01 Ix: 2.512E-01 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 36.000 Fu: 58.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 96.000 |
| Design Parameters |
| Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 1.00 CSP: 32.00 |
|-----------------------------------------------------------------------|
| SECTION CLASS UNSTIFFENED / λ λp λr CASE |
| STIFFENED |
| Compression : Non-Slender 10.67 N/A 12.77 T.B4.1-5 |
| N/A N/A N/A N/A N/A |
| Flexure : Compact 9.33 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-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Yield 0.00E+00 1.16E+02 0.000 Eq. D2-1 4 0.00 |
| Rupture 0.00E+00 1.55E+02 0.000 Eq. D2-2 4 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 8.00E+01 8.46E+01 0.945 Sec. E1 4 0.00 |
| Min Buck 8.00E+01 9.71E+01 0.824 Eq. E3-1 4 0.00 |
| Flexural |
| Tor Buck 8.00E+01 9.01E+01 0.888 Eq. E4-1 4 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 5.36E+00 76.91 2.64E+01 4.84E+01 1.41E+02 |
| Min Buck 5.36E+00 57.51 3.02E+01 8.65E+01 1.62E+02 |
| Flexural Ag Fcr Pn |
| Tor Buck 0.00E+00 2.81E+01 1.50E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 3.40E+01 0.000 Eq. G2-1 4 0.00 |
| Local-Y 0.00E+00 1.94E+01 0.000 Eq. G2-1 4 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 2.62E+00 1.00 1.20 9.33 5.67E+01 |
| Local-Y 1.50E+00 1.00 1.20 10.67 3.24E+01 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 1.03E+02 0.000 Eq. F9-1 4 0.00 |
| Minor 0.00E+00 1.37E+02 0.000 Eq. F6-1 4 0.00 |
| Intermediate Mn My |
| Major 1.72E+02 0.00E+00 |
| Minor 2.29E+02 0.00E+00 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -0.00E+00 1.39E+03 0.000 Eq. F9-4 4 0.00 |
| Intermediate Mn Me Cb Lp Lr Lb |
| Major 2.32E+03 0.00E+00 1.00 0.00 0.00 96.00 |
STAAD SPACE -- PAGE NO. 8
STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.945 Eq. H2-1 4 0.00 |
| Flexure Tens 0.000 Eq. H1-1b 4 0.00 |
| Intermediate frbw / frbz / fra / |
| Fcbw Fcbz Fca |
| Flexure Comp 0.00E+00 0.00E+00 1.49E+01 |
| 3.45E+01 3.45E+01 1.58E+01 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Tens 1.03E+02 -0.00E+00 1.16E+02 |
| 1.37E+02 0.00E+00 0.00E+00 |