V. AISC 360-10 Tapered Tube Section
Verify the axial compression capacity, flexure capacity, and interaction ratio of a tapered tube section member per both the LRFD and ASD methods of the AISC 360-10 code.
Details
A 5' × 5' portal frame consists of W12x72 columns and a steel tapered member for the beam.
The following load cases are evaluated:
- A uniformly distributed load of -2.25 k/in along the beam in the global Y direction.
- Lateral loads at the top of the left column of 50 kips in the global X direction and 25 kips in the global Z direction (out of plane).
- A concreted torque of 0.75 in·kips at mid-span of the beam.
Material Properties
- E = 29,000 ksi
- Fy = 50 ksi
Results
Result Type | Reference | STAAD.Pro | Difference | Comments | |
---|---|---|---|---|---|
LRFD | Compression capacity (kips) | 656.1 | 656 | negligible | |
Shear capacity (kips) | 201.5 | 201 | negligible | ||
Bending capacity (in·kips) | 2,033 | 2,030 | negligible | ||
Torsional capacity (in·kips) | 1,914 | 1,910 | negligible | ||
Interaction ratio | 0.257 | 0.257 | none | ||
ASD | Compression capacity (kips) | 436.5 | 437 | negligible | |
Shear capacity (kips) | 134.0 | 134 | negligible | ||
Bending capacity (in·kips) | 1,352 | 1,350 | negligible | ||
Torsional capacity (in·kips) | 1,273 | 1,270 | negligible | ||
Interaction ratio | 0.386 | 0.386 | none |
STAAD.Pro Input
The following design parameters are used:
- The welded tapered member is
specified using
STP 2
The remaining parameters all use their default values.
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-10 Tapered Tube Section.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 13-Apr-21
END JOB INFORMATION
INPUT WIDTH 79
UNIT INCHES KIP
JOINT COORDINATES
1 0 0 0; 2 0 60 0; 3 60 60 0; 4 60 0 0;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 29000
POISSON 0.3
DENSITY 0.000283
ALPHA 6.5e-06
DAMP 0.03
G 11200
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST W12X72
3 TABLE ST W12X72
MEMBER PROPERTY
2 PRIS ROUND STA 12 END 10 THI 0.5
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
4 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
MEMBER LOAD
2 UNI GY -2.25
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
JOINT LOAD
2 FX 50 FZ 25
LOAD 3 LOADTYPE None TITLE LOAD CASE 3
MEMBER LOAD
2 CMOM GX 0.75
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
PARAMETER 1
CODE AISC UNIFIED 2010
SLF 0.8 MEMB 2
FYLD 50 ALL
FU 60 ALL
METHOD LRFD
STP 2 MEMB 2
TRACK 2 MEMB 2
CHECK CODE MEMB 2
PARAMETER 2
CODE AISC UNIFIED 2010
SLF 0.8 MEMB 2
FYLD 50 ALL
FU 60 ALL
METHOD ASD
STP 2 MEMB 2
TRACK 2 MEMB 2
CHECK CODE MEMB 2
FINISH
STAAD.Pro Output
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
2 PRISMAT (AISC SECTIONS)
PASS Sec. G1 0.334 1
10.23 C 0.00 505.66 60.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 17.839 L/C : 1 |
| Allowable Slenderness Ratio : 200.000 LOC : 60.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 1 Ratio : 0.334(PASS) |
| Loc : 60.00 Condition : Sec. G1 |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 1.023E+01(C ) Fy: -6.719E+01 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: 0.000E+00 Mz: 5.057E+02 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 7.909E+00 Ayy: 7.909E+00 Cw: 0.000E+00 |
| Szz: 3.376E+01 Syy: 3.376E+01 |
| Izz: 1.688E+02 Iyy: 1.688E+02 Ix: 3.376E+02 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 50.000 Fu: 60.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 60.000 |
| Design Parameters |
| Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 0.80 CSP: 12.00 |
|-----------------------------------------------------------------------|
| SECTION CLASS UNSTIFFENED / λ λp λr CASE |
| STIFFENED |
| Compression : Non-Slender 20.00 N/A 63.80 T.B4.1(a)-9 |
| Non-Slender 20.00 N/A 63.80 T.B4.1(a)-9 |
| Flexure : Compact 20.00 40.60 179.80 T.B4.1(b)-20 |
| Compact 20.00 40.60 179.80 T.B4.1(b)-20 |
STAAD SPACE -- PAGE NO. 7
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Yield 0.00E+00 8.13E+02 0.000 Eq. D2-1 1 0.00 |
| Rupture 0.00E+00 6.50E+02 0.000 Eq. D2-2 1 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 2.39E+01 6.56E+02 0.036 Eq. E3-1 2 60.00 |
| Min Buck 2.39E+01 6.56E+02 0.036 Eq. E3-1 2 60.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.49E+01 17.84 4.89E+01 8.99E+02 7.29E+02 |
| Min Buck 1.49E+01 17.84 4.89E+01 8.99E+02 7.29E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -5.39E-02 2.01E+02 0.000 Eq. G6-1 2 60.00 |
| Local-Y -6.72E+01 2.01E+02 0.334 Eq. G6-1 1 60.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 1.49E+01 0.00 0.00 0.00 2.24E+02 |
| Local-Y 1.49E+01 0.00 0.00 0.00 2.24E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR TORSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| 2.38E+02 1.91E+03 0.125 Eq. H3-1 2 60.00 |
| Intermediate Fcr Tn |
| 3.00E+01 2.13E+03 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -5.06E+02 2.03E+03 0.249 Eq. F8-1 1 60.00 |
| Minor 1.62E+00 2.03E+03 0.001 Eq. F8-1 2 60.00 |
| Intermediate Mn My |
| Major 2.26E+03 0.00E+00 |
| Minor 2.26E+03 0.00E+00 |
STAAD SPACE -- PAGE NO. 8
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.257 Eq. H1-1b 1 60.00 |
| Flexure Tens 0.249 Eq. H1-1b 1 60.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 2.03E+03 -5.06E+02 6.56E+02 |
| 2.03E+03 0.00E+00 1.02E+01 |
| Flexure Tens 2.03E+03 -5.06E+02 0.00E+00 |
| 2.03E+03 0.00E+00 0.00E+00 |
|-----------------------------------------------------------------------|
52. PARAMETER 2
53. CODE AISC UNIFIED 2010
54. SLF 0.8 MEMB 2
55. FYLD 50 ALL
56. FU 60 ALL
57. METHOD ASD
58. STP 2 MEMB 2
59. TRACK 2 MEMB 2
60. CHECK CODE MEMB 2
STEEL DESIGN
WARNING: For member# 2 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 INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
2 PRISMAT (AISC SECTIONS)
PASS Sec. G1 0.501 1
10.23 C 0.00 505.66 60.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 17.839 L/C : 1 |
| Allowable Slenderness Ratio : 200.000 LOC : 60.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 1 Ratio : 0.501(PASS) |
| Loc : 60.00 Condition : Sec. G1 |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 1.023E+01(C ) Fy: -6.719E+01 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: 0.000E+00 Mz: 5.057E+02 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 7.909E+00 Ayy: 7.909E+00 Cw: 0.000E+00 |
| Szz: 3.376E+01 Syy: 3.376E+01 |
| Izz: 1.688E+02 Iyy: 1.688E+02 Ix: 3.376E+02 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 50.000 Fu: 60.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 60.000 |
| Design Parameters |
| Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 0.80 CSP: 12.00 |
|-----------------------------------------------------------------------|
| SECTION CLASS UNSTIFFENED / λ λp λr CASE |
| STIFFENED |
| Compression : Non-Slender 20.00 N/A 63.80 T.B4.1(a)-9 |
| Non-Slender 20.00 N/A 63.80 T.B4.1(a)-9 |
| Flexure : Compact 20.00 40.60 179.80 T.B4.1(b)-20 |
| Compact 20.00 40.60 179.80 T.B4.1(b)-20 |
STAAD SPACE -- PAGE NO. 10
STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL TENSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Yield 0.00E+00 5.41E+02 0.000 Eq. D2-1 1 0.00 |
| Rupture 0.00E+00 4.34E+02 0.000 Eq. D2-2 1 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 2.39E+01 4.37E+02 0.055 Eq. E3-1 2 60.00 |
| Min Buck 2.39E+01 4.37E+02 0.055 Eq. E3-1 2 60.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.49E+01 17.84 4.89E+01 8.99E+02 7.29E+02 |
| Min Buck 1.49E+01 17.84 4.89E+01 8.99E+02 7.29E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -5.39E-02 1.34E+02 0.000 Eq. G6-1 2 60.00 |
| Local-Y -6.72E+01 1.34E+02 0.501 Eq. G6-1 1 60.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 1.49E+01 0.00 0.00 0.00 2.24E+02 |
| Local-Y 1.49E+01 0.00 0.00 0.00 2.24E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR TORSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| 2.38E+02 1.27E+03 0.187 Eq. H3-1 2 60.00 |
| Intermediate Fcr Tn |
| 3.00E+01 2.13E+03 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major -5.06E+02 1.35E+03 0.374 Eq. F8-1 1 60.00 |
| Minor 1.62E+00 1.35E+03 0.001 Eq. F8-1 2 60.00 |
| Intermediate Mn My |
| Major 2.26E+03 0.00E+00 |
| Minor 2.26E+03 0.00E+00 |
STAAD SPACE -- PAGE NO. 11
STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a
********************************************
ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted)
|-----------------------------------------------------------------------|
| CHECK FOR FLEXURE TENS/COMP INTERACTION |
| RATIO CRITERIA L/C LOC |
| Flexure Comp 0.386 Eq. H1-1b 1 60.00 |
| Flexure Tens 0.374 Eq. H1-1b 1 60.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 1.35E+03 -5.06E+02 4.37E+02 |
| 1.35E+03 0.00E+00 1.02E+01 |
| Flexure Tens 1.35E+03 -5.06E+02 0.00E+00 |
| 1.35E+03 0.00E+00 0.00E+00 |
|-----------------------------------------------------------------------|