V. AISC 360-10 Pipe E.11
Verify the compressive strength of a pipe section braced at the midpoint in the Y-Y direction per the LRFD and ADS methods of the AISC 360-10 codes.
Details
From reference (2):
Select an ASTM A53 Grade B Pipe compression member with a length of 30 ft to support a dead load of 35 kips and live load of 105 kips in axial compression. The column is pin-connected at the ends in both axes and braced at the midpoint in the y-y direction.
Validation
Ultimate load:
Service load:
Per Table C-A-7.1 in Reference 1, K = 1.0 for pinned-pinned columns.
So buckling about the x-x axis governs. For 35 ksi, no pipe sections are slender per Table 4-6 in Reference 1.
The critical stress
(Eq. E3-4) |
Nominal Compressive Strength
(Eq E7-2) |
(Eq E7-1) |
The available compressive strength:
LRFD:
ASD:
STAAD.Pro Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-10 Pipe E.11.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 05-Feb-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 0 30 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
ISOTROPIC STEEL_50_KSI
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 7200 FU 8928 RY 1.5 RT 1.2
ISOTROPIC STEEL_36_KSI
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH FY 5184 FU 8352 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE ST PIPS100
CONSTANTS
MATERIAL STEEL_36_KSI ALL
SUPPORTS
1 PINNED
2 FIXED BUT FY MX MZ
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
2 FY -35
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
JOINT LOAD
2 FY -105
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
UNIT INCHES KIP
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
FU 60 ALL
FYLD 35 ALL
LY 180 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
FU 60 ALL
FYLD 35 ALL
LY 180 ALL
METHOD ASD
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 PIPS100 (AISC SECTIONS) PASS Eq. H1-1a 0.961 3 210.00 C 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 99.349 L/C : 3 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.961(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 2.100E+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: 5.750E+00 Ayy: 5.750E+00 Cw: 0.000E+00 | | Szz: 2.809E+01 Syy: 2.809E+01 | | Izz: 1.510E+02 Iyy: 1.510E+02 Ix: 3.020E+02 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 35.000 Fu: 60.000 | |-----------------------------------------------------------------------| | Actual Member Length: 360.000 | | 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 31.62 N/A 91.14 T.B4.1(a)-9 | | Non-Slender 31.62 N/A 91.14 T.B4.1(a)-9 | | Flexure : Compact 31.62 58.00 256.86 T.B4.1(b)-20 | | Compact 31.62 58.00 256.86 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 3.62E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 5.18E+02 0.000 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 2.10E+02 2.19E+02 0.961 Eq. E3-1 3 0.00 | | Min Buck 2.10E+02 3.19E+02 0.658 Eq. E3-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.15E+01 99.35 2.11E+01 2.90E+01 2.43E+02 | | Min Buck 1.15E+01 49.67 3.08E+01 1.16E+02 3.55E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -0.00E+00 1.09E+02 0.000 Eq. G6-1 3 0.00 | | Local-Y 0.00E+00 1.09E+02 0.000 Eq. G6-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 1.15E+01 0.00 0.00 0.00 1.21E+02 | | Local-Y 1.15E+01 0.00 0.00 0.00 1.21E+02 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 0.00E+00 1.09E+03 0.000 Eq. H3-1 3 0.00 | | Intermediate Fcr Tn | | 2.10E+01 1.22E+03 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 1.16E+03 0.000 Eq. F8-1 3 0.00 | | Minor 0.00E+00 1.16E+03 0.000 Eq. F8-1 3 0.00 | | Intermediate Mn My | | Major 1.29E+03 0.00E+00 | | Minor 1.29E+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 0.961 Eq. H1-1a 3 0.00 | | Flexure Tens 0.000 Eq. H1-1b 3 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 1.16E+03 -0.00E+00 2.19E+02 | | 1.16E+03 0.00E+00 2.10E+02 | | Flexure Tens 1.16E+03 -0.00E+00 3.62E+02 | | 1.16E+03 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| 66. LOAD LIST 4 67. PARAMETER 2 68. CODE AISC UNIFIED 2010 69. FU 60 ALL 70. FYLD 35 ALL 71. LY 180 ALL 72. METHOD ASD 73. TRACK 2 ALL 74. 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. 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 ======================================================================= 1 ST PIPS100 (AISC SECTIONS) PASS Eq. H1-1a 0.963 4 140.00 C 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 99.349 L/C : 4 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.963(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.400E+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: 5.750E+00 Ayy: 5.750E+00 Cw: 0.000E+00 | | Szz: 2.809E+01 Syy: 2.809E+01 | | Izz: 1.510E+02 Iyy: 1.510E+02 Ix: 3.020E+02 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 35.000 Fu: 60.000 | |-----------------------------------------------------------------------| | Actual Member Length: 360.000 | | 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 31.62 N/A 91.14 T.B4.1(a)-9 | | Non-Slender 31.62 N/A 91.14 T.B4.1(a)-9 | | Flexure : Compact 31.62 58.00 256.86 T.B4.1(b)-20 | | Compact 31.62 58.00 256.86 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 2.41E+02 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 3.45E+02 0.000 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 1.40E+02 1.45E+02 0.963 Eq. E3-1 4 0.00 | | Min Buck 1.40E+02 2.12E+02 0.659 Eq. E3-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.15E+01 99.35 2.11E+01 2.90E+01 2.43E+02 | | Min Buck 1.15E+01 49.67 3.08E+01 1.16E+02 3.55E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -0.00E+00 7.23E+01 0.000 Eq. G6-1 4 0.00 | | Local-Y 0.00E+00 7.23E+01 0.000 Eq. G6-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 1.15E+01 0.00 0.00 0.00 1.21E+02 | | Local-Y 1.15E+01 0.00 0.00 0.00 1.21E+02 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 0.00E+00 7.28E+02 0.000 Eq. H3-1 4 0.00 | | Intermediate Fcr Tn | | 2.10E+01 1.22E+03 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 7.73E+02 0.000 Eq. F8-1 4 0.00 | | Minor 0.00E+00 7.73E+02 0.000 Eq. F8-1 4 0.00 | | Intermediate Mn My | | Major 1.29E+03 0.00E+00 | | Minor 1.29E+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 0.963 Eq. H1-1a 4 0.00 | | Flexure Tens 0.000 Eq. H1-1b 4 0.00 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 7.73E+02 -0.00E+00 1.45E+02 | | 7.73E+02 0.00E+00 1.40E+02 | | Flexure Tens 7.73E+02 -0.00E+00 2.41E+02 | | 7.73E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------|