V. AISC 360-10 HSSP Shear Capacity G.5
Verify the available shear strength along the strong axis of a round HSS 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 G.5, pp. G-11 - G-12
Details
From reference (2):
Verify the available shear strength and adequacy of a round HSS16.000×0.375 ASTM A500 Grade B member spanning 32 ft with end shears of 30.0 kips from dead load and 90.0 kips from live load.
Validation
Ultimate load:
Service load:
Shear Buckling Stress
The maximum permitted value is (governs).
Nominal Shear Strength
The available shear strength:
LRFD:
ASD:
Results
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕvVn (kips) [LRFD] | 195 | 195 | none | |
Vn/Ωv (kips) [ASD] | 130 | 130 | none |
STAAD.Pro Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-10 HSSP Shear Capacity G.5.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 20-May-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 32 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 HSSP16X0.375
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
MEMBER LOAD
UNIT INCHES KIP
1 UNI GY -0.15625
UNIT FEET KIP
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
MEMBER LOAD
UNIT INCHES KIP
1 UNI GY -0.46875
UNIT FEET KIP
LOAD COMB 3 LRFD LOAD
1 1.2 2 1.6
LOAD COMB 4 ASD LOAD
1 1.0 2 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
METHOD LRFD
FYLD 42 ALL
FU 58 ALL
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
METHOD ASD
FYLD 42 ALL
FU 58 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 INCH (UNLESS OTHERWISE Noted)
MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/
FX MY MZ LOCATION
=======================================================================
* 1 ST HSSP16X0.375 (AISC SECTIONS)
FAIL Eq. H1-1b 5.347 3
0.00 0.00 -17280.00 192.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 69.439 L/C : 3 |
| Allowable Slenderness Ratio : 300.000 LOC : 192.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 3 Ratio : 5.347(FAIL) |
| Loc : 192.00 Condition : Eq. H1-1b |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: 0.000E+00 Mz: -1.728E+04 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 8.600E+00 Ayy: 8.600E+00 Cw: 0.000E+00 |
| Szz: 6.575E+01 Syy: 6.575E+01 |
| Izz: 5.260E+02 Iyy: 5.260E+02 Ix: 1.052E+03 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 42.000 Fu: 58.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 384.000 |
| Design Parameters |
| Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 1.00 CSP: 12.00 |
|-----------------------------------------------------------------------|
| SECTION CLASS UNSTIFFENED / λ λp λr CASE |
| STIFFENED |
| Compression : Non-Slender 45.85 N/A 75.95 T.B4.1(a)-9 |
| Non-Slender 45.85 N/A 75.95 T.B4.1(a)-9 |
| Flexure : Compact 45.85 48.33 214.05 T.B4.1(b)-20 |
| Compact 45.85 48.33 214.05 T.B4.1(b)-20 |
STAAD SPACE -- PAGE NO. 4
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 6.50E+02 0.000 Eq. D2-1 3 0.00 |
| Rupture -0.00E+00 7.48E+02 0.000 Eq. D2-2 3 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 4.84E+02 0.000 Eq. E3-1 3 0.00 |
| Min Buck 0.00E+00 4.84E+02 0.000 Eq. E3-1 3 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.72E+01 69.44 3.12E+01 5.94E+01 5.37E+02 |
| Min Buck 1.72E+01 69.44 3.12E+01 5.94E+01 5.37E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 1.95E+02 0.000 Eq. G6-1 3 0.00 |
| Local-Y 1.80E+02 1.95E+02 0.923 Eq. G6-1 3 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 1.72E+01 0.00 0.00 0.00 2.17E+02 |
| Local-Y 1.72E+01 0.00 0.00 0.00 2.17E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR TORSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| 0.00E+00 2.97E+03 0.000 Eq. H3-1 3 0.00 |
| Intermediate Fcr Tn |
| 2.52E+01 3.30E+03 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 1.73E+04 3.23E+03 5.347 Eq. F8-1 3 192.00 |
| Minor 0.00E+00 3.23E+03 0.000 Eq. F8-1 3 0.00 |
| Intermediate Mn My |
| Major 3.59E+03 0.00E+00 |
| Minor 3.59E+03 0.00E+00 |
STAAD SPACE -- PAGE NO. 5
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 5.347 Eq. H1-1b 3 192.00 |
| Flexure Tens 5.347 Eq. H1-1b 3 192.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 3.23E+03 1.73E+04 4.84E+02 |
| 3.23E+03 0.00E+00 0.00E+00 |
| Flexure Tens 3.23E+03 1.73E+04 6.50E+02 |
| 3.23E+03 0.00E+00 -0.00E+00 |
|-----------------------------------------------------------------------|
52. LOAD LIST 4
53. PARAMETER 2
54. CODE AISC UNIFIED 2010
55. METHOD ASD
56. FYLD 42 ALL
57. FU 58 ALL
58. TRACK 2 ALL
59. 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. 6
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
=======================================================================
* 1 ST HSSP16X0.375 (AISC SECTIONS)
FAIL Eq. H1-1b 5.357 4
0.00 0.00 -11520.00 192.00
|-----------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness Ratio : 69.439 L/C : 4 |
| Allowable Slenderness Ratio : 300.000 LOC : 192.00 |
|-----------------------------------------------------------------------|
| STRENGTH CHECKS |
| Critical L/C : 4 Ratio : 5.357(FAIL) |
| Loc : 192.00 Condition : Eq. H1-1b |
|-----------------------------------------------------------------------|
| DESIGN FORCES |
| Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 |
| Mx: 0.000E+00 My: 0.000E+00 Mz: -1.152E+04 |
|-----------------------------------------------------------------------|
| SECTION PROPERTIES (UNIT: INCH) |
| Azz: 8.600E+00 Ayy: 8.600E+00 Cw: 0.000E+00 |
| Szz: 6.575E+01 Syy: 6.575E+01 |
| Izz: 5.260E+02 Iyy: 5.260E+02 Ix: 1.052E+03 |
|-----------------------------------------------------------------------|
| MATERIAL PROPERTIES |
| Fyld: 42.000 Fu: 58.000 |
|-----------------------------------------------------------------------|
| Actual Member Length: 384.000 |
| Design Parameters |
| Kz: 1.00 Ky: 1.00 NSF: 1.00 SLF: 1.00 CSP: 12.00 |
|-----------------------------------------------------------------------|
| SECTION CLASS UNSTIFFENED / λ λp λr CASE |
| STIFFENED |
| Compression : Non-Slender 45.85 N/A 75.95 T.B4.1(a)-9 |
| Non-Slender 45.85 N/A 75.95 T.B4.1(a)-9 |
| Flexure : Compact 45.85 48.33 214.05 T.B4.1(b)-20 |
| Compact 45.85 48.33 214.05 T.B4.1(b)-20 |
STAAD SPACE -- PAGE NO. 7
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 4.33E+02 0.000 Eq. D2-1 4 0.00 |
| Rupture -0.00E+00 4.99E+02 0.000 Eq. D2-2 4 0.00 |
|-----------------------------------------------------------------------|
| CHECK FOR AXIAL COMPRESSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Maj Buck 0.00E+00 3.22E+02 0.000 Eq. E3-1 4 0.00 |
| Min Buck 0.00E+00 3.22E+02 0.000 Eq. E3-1 4 0.00 |
| Intermediate |
| Results Eff Area KL/r Fcr Fe Pn |
| Maj Buck 1.72E+01 69.44 3.12E+01 5.94E+01 5.37E+02 |
| Min Buck 1.72E+01 69.44 3.12E+01 5.94E+01 5.37E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR SHEAR |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Local-Z -0.00E+00 1.30E+02 0.000 Eq. G6-1 4 0.00 |
| Local-Y 1.20E+02 1.30E+02 0.925 Eq. G6-1 4 0.00 |
| Intermediate |
| Results Aw Cv Kv h/tw Vn |
| Local-Z 1.72E+01 0.00 0.00 0.00 2.17E+02 |
| Local-Y 1.72E+01 0.00 0.00 0.00 2.17E+02 |
|-----------------------------------------------------------------------|
| CHECK FOR TORSION |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| 0.00E+00 1.98E+03 0.000 Eq. H3-1 4 0.00 |
| Intermediate Fcr Tn |
| 2.52E+01 3.30E+03 |
|-----------------------------------------------------------------------|
| CHECK FOR BENDING-YIELDING |
| |
| FORCE CAPACITY RATIO CRITERIA L/C LOC |
| Major 1.15E+04 2.15E+03 5.357 Eq. F8-1 4 192.00 |
| Minor 0.00E+00 2.15E+03 0.000 Eq. F8-1 4 0.00 |
| Intermediate Mn My |
| Major 3.59E+03 0.00E+00 |
| Minor 3.59E+03 0.00E+00 |
STAAD SPACE -- PAGE NO. 8
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 5.357 Eq. H1-1b 4 192.00 |
| Flexure Tens 5.357 Eq. H1-1b 4 192.00 |
| Intermediate Mcx Mrx Pc |
| Mcy Mry Pr |
| Flexure Comp 2.15E+03 1.15E+04 3.22E+02 |
| 2.15E+03 0.00E+00 0.00E+00 |
| Flexure Tens 2.15E+03 1.15E+04 4.33E+02 |
| 2.15E+03 0.00E+00 -0.00E+00 |
|-----------------------------------------------------------------------|