V. AISC 360-10 C Flex Mem F.2-1
Verify the major axis flexural strength of a compact channel section which is continuously braced per the LRFD and ASD methods for AISC 360-10 code.
Details
From reference (2):
Select an ASTM A36 channel to serve as a roof edge beam with a simple span of 25 ft. Limit the live load deflection to L/360. The nominal loads are a uniform dead load of 0.23 kip/ft and a uniform live load of 0.69 kip/ft. The beam is continuously braced.
Results
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
ϕbMn (ft·k) [LRFD] | 137 | 137 | none | |
Mn/Ωb (ft·k) [ASD] | 91 | 91.3 | negligible |
STAAD.Pro Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-10 C Flex Mem F.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 07-Feb-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 25 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 C15X33
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
MEMBER LOAD
1 UNI GY -0.23
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
MEMBER LOAD
1 UNI GY -0.69
LOAD COMB 3 COMBINATION LOAD CASE 3
1 1.2 2 1.6
LOAD COMB 4 COMBINATION LOAD CASE 4
1 1.0 2 1.0
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2010
FLX 2 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2010
FLX 2 ALL
METHOD ASD
TRACK 2 ALL
CHECK CODE ALL
PARAMETER 3
CODE AISC UNIFIED 2010
FU 8352 ALL
FYLD 5184 ALL
FINISH
STAAD.Pro Output
STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= * 1 ST C15X33 (AISC SECTIONS) FAIL Eq. H1-1b 2.548 3 0.00 0.00 -107.81 12.50 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 333.952 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 12.50 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 2.548(FAIL) | | Loc : 12.50 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: -1.078E+02 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 4.420E+00 Ayy: 6.000E+00 Cw: 3.555E+02 | | Szz: 4.200E+01 Syy: 3.178E+00 | | Izz: 3.150E+02 Iyy: 8.070E+00 Ix: 1.010E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 5183.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 25.000 | | 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 5.23 N/A 15.89 T.B4.1(a)-1 | | Non-Slender 34.25 N/A 42.29 T.B4.1(a)-5 | | Flexure : Compact 5.23 10.79 28.38 T.B4.1(b)-10 | | Compact 34.25 106.72 161.78 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 3.24E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 4.35E+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 2.79E+02 0.000 Eq. E3-1 3 0.00 | | Min Buck 0.00E+00 2.03E+01 0.000 Eq. E3-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 2.07E+02 0.000 Eq. E4-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 6.94E-02 53.45 4.46E+03 1.44E+04 3.10E+02 | | Min Buck 6.94E-02 333.95 3.24E+02 3.70E+02 2.25E+01 | | Flexural Ag Fcr Pn | | Tor Buck 6.94E-02 3.31E+03 2.30E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 8.59E+01 0.000 Eq. G2-1 3 0.00 | | Local-Y 1.72E+01 1.17E+02 0.148 Eq. G2-1 3 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 3.07E-02 1.00 1.20 5.23 9.55E+01 | | Local-Y 4.17E-02 1.00 5.00 34.25 1.30E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 1.08E+02 1.37E+02 0.786 Eq. F2-1 3 12.50 | | Minor 0.00E+00 1.37E+01 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 1.52E+02 0.00E+00 | | Minor 1.53E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 1.08E+02 4.23E+01 2.548 Eq. F2-3 3 12.50 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 4.70E+01 0.00E+00 1.00 3.74 14.49 25.00 | STAAD SPACE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - (AISC-360-10-LRFD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 2.548 Eq. H1-1b 3 12.50 | | Flexure Tens 2.548 Eq. H1-1b 3 12.50 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 4.23E+01 1.08E+02 2.03E+01 | | 1.37E+01 0.00E+00 0.00E+00 | | Flexure Tens 4.23E+01 1.08E+02 3.24E+02 | | 1.37E+01 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| 47. LOAD LIST 4 48. PARAMETER 2 49. CODE AISC UNIFIED 2010 50. FLX 2 ALL 51. METHOD ASD 52. TRACK 2 ALL 53. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 9 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= * 1 ST C15X33 (AISC SECTIONS) FAIL Eq. H1-1b 2.553 4 0.00 0.00 -71.88 12.50 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 333.952 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 12.50 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 2.553(FAIL) | | Loc : 12.50 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: -7.188E+01 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 4.420E+00 Ayy: 6.000E+00 Cw: 3.555E+02 | | Szz: 4.200E+01 Syy: 3.178E+00 | | Izz: 3.150E+02 Iyy: 8.070E+00 Ix: 1.010E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 5183.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 25.000 | | 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 5.23 N/A 15.89 T.B4.1(a)-1 | | Non-Slender 34.25 N/A 42.29 T.B4.1(a)-5 | | Flexure : Compact 5.23 10.79 28.38 T.B4.1(b)-10 | | Compact 34.25 106.72 161.78 T.B4.1(b)-15 | STAAD SPACE -- PAGE NO. 10 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 2.16E+02 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 2.90E+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 1.85E+02 0.000 Eq. E3-1 4 0.00 | | Min Buck 0.00E+00 1.35E+01 0.000 Eq. E3-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 1.38E+02 0.000 Eq. E4-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 6.94E-02 53.45 4.46E+03 1.44E+04 3.10E+02 | | Min Buck 6.94E-02 333.95 3.24E+02 3.70E+02 2.25E+01 | | Flexural Ag Fcr Pn | | Tor Buck 6.94E-02 3.31E+03 2.30E+02 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 5.72E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y 1.15E+01 7.76E+01 0.148 Eq. G2-1 4 0.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 3.07E-02 1.00 1.20 5.23 9.55E+01 | | Local-Y 4.17E-02 1.00 5.00 34.25 1.30E+02 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 7.19E+01 9.13E+01 0.788 Eq. F2-1 4 12.50 | | Minor 0.00E+00 9.14E+00 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 1.52E+02 0.00E+00 | | Minor 1.53E+01 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 7.19E+01 2.82E+01 2.553 Eq. F2-3 4 12.50 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 4.70E+01 0.00E+00 1.00 3.74 14.49 25.00 | STAAD SPACE -- PAGE NO. 11 STAAD.PRO CODE CHECKING - ( AISC-360-10-ASD) v1.4a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 2.553 Eq. H1-1b 4 12.50 | | Flexure Tens 2.553 Eq. H1-1b 4 12.50 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 2.82E+01 7.19E+01 1.35E+01 | | 9.14E+00 0.00E+00 0.00E+00 | | Flexure Tens 2.82E+01 7.19E+01 2.16E+02 | | 9.14E+00 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------|