V. AISC 360-05 Built up I E.3
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.3, pp.E-14 - E.17
- Seaburg, Paul A. and Charles J. Carter. 1997. Design Guide 9: Torsional Analysis of Structural Steel members. AISC: Chicago, IL.
Details
From reference (2):
Determine if a built-up, ASTM A572 grade 50 column with PL3/8 in.×102 in. flanges and a PL1/4 in.×7 1/4 in. web has sufficient available strength to carry a dead load of 40 kips and a live load of 120 kips in axial compression. The column unbraced length is 15 ft in both axes and the ends are pinned.
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples \Verification Models\09 Steel Design\US\AISC\AISC 360-05 Built up I E.3.STD is typically installed with the program.
STAAD PLANE
START JOB INFORMATION
ENGINEER DATE 31-Oct-12
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 0 15 0;
MEMBER INCIDENCES
1 1 2;
START USER TABLE
TABLE 2
UNIT INCHES KIP
WIDE FLANGE
I
9.6875 8 0.25 10.5 0.375 122.496 72.361 0.406901 2 5.25 10.5 0.375
END
UNIT INCHES KIP
DEFINE MATERIAL START
ISOTROPIC STEEL
E 29732.7
POISSON 0.3
DENSITY 0.000283
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
STRENGTH FY 50 FU 65 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
CONSTANTS
MATERIAL STEEL_36_KSI ALL
MEMBER PROPERTY AMERICAN
1 UPTABLE 2 I
UNIT FEET KIP
SUPPORTS
1 PINNED
2 FIXED BUT FY MX MY MZ
LOAD 1 LOADTYPE Dead TITLE LOAD CASE 1
JOINT LOAD
2 FY -40
LOAD 2 LOADTYPE Live TITLE LOAD CASE 2
JOINT LOAD
2 FY -120
UNIT INCHES KIP
LOAD COMB 3 LRFD
1 1.2 2 1.6
LOAD COMB 4 ASD
1 1.0 2 1.0
PERFORM ANALYSIS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
FU 65 ALL
FYLD 50 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FU 65 ALL
FYLD 50 ALL
METHOD ASD
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 ST I (UPT) PASS Eq. H1-1a 0.764 3 240.00 C 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 65.861 L/C : 3 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.764(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 2.400E+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: 5.250E+00 Ayy: 2.000E+00 Cw: 1.052E+03 | | Szz: 3.062E+01 Syy: 1.378E+01 | | Izz: 1.225E+02 Iyy: 7.236E+01 Ix: 4.069E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 50.000 Fu: 65.000 | |-----------------------------------------------------------------------| | Actual Member Length: 180.000 | | 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 : Slender 14.00 N/A 13.49 T.B4.1-3 | | Non-Slender 29.00 N/A 35.88 T.B4.1-10 | | Flexure : Non-Compact 14.00 9.15 24.08 T.B4.1-1 | | Compact 29.00 90.55 137.27 T.B4.1-9 | STAAD PLANE -- 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 4.36E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 4.72E+02 0.000 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 2.40E+02 3.57E+02 0.672 Sec. E1 3 0.00 | | Min Buck 2.40E+02 3.14E+02 0.764 Eq. E7-1 3 0.00 | | Flexural | | Tor Buck 2.40E+02 3.21E+02 0.747 Eq. E7-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 9.69E+00 50.62 4.09E+01 1.12E+02 3.97E+02 | | Min Buck 9.69E+00 65.86 3.60E+01 6.60E+01 3.49E+02 | | Flexural Ag Fcr Pn | | Tor Buck 9.69E+00 3.68E+01 3.57E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -0.00E+00 1.42E+02 0.000 Eq. G2-1 3 0.00 | | Local-Y 0.00E+00 6.00E+01 0.000 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 5.25E+00 1.00 1.20 14.00 1.58E+02 | | Local-Y 2.00E+00 1.00 0.00 29.00 6.00E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 1.50E+03 0.000 Eq. F2-1 3 0.00 | | Minor 0.00E+00 9.35E+02 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 1.67E+03 0.00E+00 | | Minor 1.04E+03 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 1.36E+03 0.000 Eq. F2-2 3 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 1.51E+03 0.00E+00 1.00 115.84 354.09 180.00 | STAAD PLANE -- PAGE NO. 5 STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR BENDING-FLANGE LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 1.33E+03 0.000 Eq. F3-1 3 0.00 | | Minor 0.00E+00 7.73E+02 0.000 Eq. F6-2 3 0.00 | | Intermediate Mn Fcr | | Major 1.47E+03 0.00E+00 | | Minor 8.58E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.764 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 1.33E+03 -0.00E+00 3.14E+02 | | 7.73E+02 0.00E+00 2.40E+02 | | Flexure Tens 1.33E+03 -0.00E+00 4.36E+02 | | 7.73E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| 65. LOAD LIST 4 66. PARAMETER 2 67. CODE AISC UNIFIED 2005 68. FU 65 ALL 69. FYLD 50 ALL 70. METHOD ASD 71. TRACK 2 ALL 72. CHECK CODE ALL STEEL DESIGN STAAD PLANE -- 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 ST I (UPT) PASS Eq. H1-1a 0.765 4 160.00 C 0.00 0.00 0.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 65.861 L/C : 4 | | Allowable Slenderness Ratio : 200.000 LOC : 0.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.765(PASS) | | Loc : 0.00 Condition : Eq. H1-1a | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 1.600E+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: 5.250E+00 Ayy: 2.000E+00 Cw: 1.052E+03 | | Szz: 3.062E+01 Syy: 1.378E+01 | | Izz: 1.225E+02 Iyy: 7.236E+01 Ix: 4.069E-01 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 50.000 Fu: 65.000 | |-----------------------------------------------------------------------| | Actual Member Length: 180.000 | | 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 : Slender 14.00 N/A 13.49 T.B4.1-3 | | Non-Slender 29.00 N/A 35.88 T.B4.1-10 | | Flexure : Non-Compact 14.00 9.15 24.08 T.B4.1-1 | | Compact 29.00 90.55 137.27 T.B4.1-9 | STAAD PLANE -- 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 2.90E+02 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 3.15E+02 0.000 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 1.60E+02 2.38E+02 0.674 Sec. E1 4 0.00 | | Min Buck 1.60E+02 2.09E+02 0.765 Eq. E7-1 4 0.00 | | Flexural | | Tor Buck 1.60E+02 2.14E+02 0.749 Eq. E7-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 9.69E+00 50.62 4.09E+01 1.12E+02 3.97E+02 | | Min Buck 9.69E+00 65.86 3.60E+01 6.60E+01 3.49E+02 | | Flexural Ag Fcr Pn | | Tor Buck 9.69E+00 3.68E+01 3.57E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z -0.00E+00 9.43E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y 0.00E+00 4.00E+01 0.000 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 5.25E+00 1.00 1.20 14.00 1.58E+02 | | Local-Y 2.00E+00 1.00 0.00 29.00 6.00E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 9.97E+02 0.000 Eq. F2-1 4 0.00 | | Minor 0.00E+00 6.22E+02 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 1.67E+03 0.00E+00 | | Minor 1.04E+03 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 9.02E+02 0.000 Eq. F2-2 4 0.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 1.51E+03 0.00E+00 1.00 115.84 354.09 180.00 | STAAD PLANE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR BENDING-FLANGE LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major -0.00E+00 8.82E+02 0.000 Eq. F3-1 4 0.00 | | Minor 0.00E+00 5.14E+02 0.000 Eq. F6-2 4 0.00 | | Intermediate Mn Fcr | | Major 1.47E+03 0.00E+00 | | Minor 8.58E+02 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.765 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 8.82E+02 -0.00E+00 2.09E+02 | | 5.14E+02 0.00E+00 1.60E+02 | | Flexure Tens 8.82E+02 -0.00E+00 2.90E+02 | | 5.14E+02 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------|