V. AISC 360-05 WT Shape F.10
Details
From reference (2):
Select an ASTM A992 WT beam with a simple span of 6 ft. The toe of the stem of the WT is in tension. The nominal loads are a uniform dead load of 0.08 kip/ft and a uniform live load of 0.24 kip/ft. There is no deflection limit for this member. Assume full lateral support.
Validation
Ultimate moment:
Service moment:
Try a WT5×6, which has a plastic section modulus, Zx = 2.20 in3 and a section modulus, Sx = 1.22 in3.
Flexural Yielding
| (F9-2) |
Lateral-torsional buckling does not govern since the member is continuously braced.
Flange compactness:
Determine the compact and slender flange ratio limits from Table B4.1b:
Thus, the section has a non-compact flange.
So use Mn = 97.6 in·k = 8.13 ft·k
The available flexural strength:
LRFD:
ASD:
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC 360-05 WT Shape F.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 11-Jun-20
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 6 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
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
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TABLE T W10X12
CONSTANTS
MATERIAL STEEL_50_KSI ALL
SUPPORTS
1 FIXED BUT MZ
2 FIXED BUT FX MZ
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
MEMBER LOAD
1 UNI GY -0.08
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
MEMBER LOAD
1 UNI GY -0.24
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
LOAD LIST 3
PARAMETER 1
CODE AISC UNIFIED 2005
FU 9360 ALL
FYLD 7200 ALL
FLX 2 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FU 9360 ALL
FYLD 7200 ALL
FLX 2 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 FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 T W10X12 (AISC SECTIONS) PASS Eq. H1-1b 0.300 3 0.00 0.00 -2.16 3.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 91.750 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 3.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.300(PASS) | | Loc : 3.00 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: -2.160E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 8.316E-01 Ayy: 9.376E-01 Cw: 2.546E-02 | | Szz: 1.202E+00 Syy: 5.505E-01 | | Izz: 4.303E+00 Iyy: 1.090E+00 Ix: 2.735E-02 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 6.000 | | 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 25.97 N/A 18.06 T.B4.1-8 | | N/A N/A N/A N/A N/A | | Flexure : Non-Compact 9.43 9.15 24.08 T.B4.1-7 | | Slender 25.97 9.15 24.08 T.B4.1-7 | STAAD SPACE -- PAGE NO. 4 STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 7.96E+01 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 8.63E+01 0.000 Eq. D2-2 3 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 4.31E+01 0.000 Sec. E1 3 0.00 | | Min Buck 0.00E+00 3.28E+01 0.000 Eq. E7-1 3 0.00 | | Flexural | | Tor Buck 0.00E+00 2.72E+01 0.000 Eq. E7-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.23E-02 46.18 3.89E+03 1.93E+04 4.79E+01 | | Min Buck 1.23E-02 91.75 2.96E+03 4.90E+03 3.64E+01 | | Flexural Ag Fcr Pn | | Tor Buck 1.23E-02 2.46E+03 3.02E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 2.25E+01 0.000 Eq. G2-1 3 0.00 | | Local-Y -1.44E+00 2.53E+01 0.057 Eq. G2-1 3 6.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 5.78E-03 1.00 1.20 9.43 2.49E+01 | | Local-Y 6.51E-03 1.00 1.20 25.97 2.81E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 2.16E+00 7.21E+00 0.300 Eq. F9-1 3 3.00 | | Minor 0.00E+00 3.26E+00 0.000 Eq. F6-1 3 0.00 | | Intermediate Mn My | | Major 8.01E+00 0.00E+00 | | Minor 3.63E+00 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 2.16E+00 2.45E+01 0.088 Eq. F9-4 3 3.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 2.72E+01 0.00E+00 1.00 0.00 0.00 6.00 | STAAD SPACE -- PAGE NO. 5 STAAD.PRO CODE CHECKING - (AISC-360-05-LRFD) v3.3a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR BENDING-FLANGE LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 2.16E+00 1.18E+01 0.182 Eq. F9-6 3 3.00 | | Minor 0.00E+00 3.23E+00 0.000 Eq. F6-2 3 0.00 | | Intermediate Mn Fcr | | Major 1.32E+01 7.16E+03 | | Minor 3.59E+00 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.300 Eq. H2-1 3 3.00 | | Flexure Tens 0.300 Eq. H1-1b 3 3.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 1.17E+03 0.00E+00 0.00E+00 | | 3.92E+03 1.01E+04 2.21E+03 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Tens 7.21E+00 2.16E+00 7.96E+01 | | 3.23E+00 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| 56. LOAD LIST 4 57. PARAMETER 2 58. CODE AISC UNIFIED 2005 59. FU 9360 ALL 60. FYLD 7200 ALL 61. FLX 2 ALL 62. METHOD ASD 63. TRACK 2 ALL 64. CHECK CODE ALL STEEL DESIGN STAAD SPACE -- PAGE NO. 6 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 T W10X12 (AISC SECTIONS) PASS Eq. H2-1 0.300 4 0.00 0.00 -1.44 3.00 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 91.750 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 3.00 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.300(PASS) | | Loc : 3.00 Condition : Eq. H2-1 | |-----------------------------------------------------------------------| | DESIGN FORCES | | Fx: 0.000E+00( ) Fy: 0.000E+00 Fz: 0.000E+00 | | Mx: 0.000E+00 My: 0.000E+00 Mz: -1.440E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 8.316E-01 Ayy: 9.376E-01 Cw: 2.546E-02 | | Szz: 1.202E+00 Syy: 5.505E-01 | | Izz: 4.303E+00 Iyy: 1.090E+00 Ix: 2.735E-02 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 7199.999 Fu: 9359.999 | |-----------------------------------------------------------------------| | Actual Member Length: 6.000 | | 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 25.97 N/A 18.06 T.B4.1-8 | | N/A N/A N/A N/A N/A | | Flexure : Non-Compact 9.43 9.15 24.08 T.B4.1-7 | | Slender 25.97 9.15 24.08 T.B4.1-7 | STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR AXIAL TENSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Yield 0.00E+00 5.30E+01 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 5.75E+01 0.000 Eq. D2-2 4 0.00 | |-----------------------------------------------------------------------| | CHECK FOR AXIAL COMPRESSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Maj Buck 0.00E+00 2.87E+01 0.000 Sec. E1 4 0.00 | | Min Buck 0.00E+00 2.18E+01 0.000 Eq. E7-1 4 0.00 | | Flexural | | Tor Buck 0.00E+00 1.81E+01 0.000 Eq. E7-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.23E-02 46.18 3.89E+03 1.93E+04 4.79E+01 | | Min Buck 1.23E-02 91.75 2.96E+03 4.90E+03 3.64E+01 | | Flexural Ag Fcr Pn | | Tor Buck 1.23E-02 2.46E+03 3.02E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 1.49E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y -9.60E-01 1.68E+01 0.057 Eq. G2-1 4 6.00 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 5.78E-03 1.00 1.20 9.43 2.49E+01 | | Local-Y 6.51E-03 1.00 1.20 25.97 2.81E+01 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 1.44E+00 4.80E+00 0.300 Eq. F9-1 4 3.00 | | Minor 0.00E+00 2.17E+00 0.000 Eq. F6-1 4 0.00 | | Intermediate Mn My | | Major 8.01E+00 0.00E+00 | | Minor 3.63E+00 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-LATERAL TORSIONAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 1.44E+00 1.63E+01 0.089 Eq. F9-4 4 3.00 | | Intermediate Mn Me Cb Lp Lr Lb | | Major 2.72E+01 0.00E+00 1.00 0.00 0.00 6.00 | STAAD SPACE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - ( AISC-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) |-----------------------------------------------------------------------| | CHECK FOR BENDING-FLANGE LOCAL BUCKLING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 1.44E+00 7.88E+00 0.183 Eq. F9-6 4 3.00 | | Minor 0.00E+00 2.15E+00 0.000 Eq. F6-2 4 0.00 | | Intermediate Mn Fcr | | Major 1.32E+01 7.16E+03 | | Minor 3.59E+00 0.00E+00 | |-----------------------------------------------------------------------| | CHECK FOR FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.300 Eq. H2-1 4 3.00 | | Flexure Tens 0.300 Eq. H1-1b 4 3.00 | | Intermediate frbw / frbz / fra / | | Fcbw Fcbz Fca | | Flexure Comp 7.83E+02 0.00E+00 0.00E+00 | | 2.61E+03 6.74E+03 1.47E+03 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Tens 4.80E+00 1.44E+00 5.30E+01 | | 2.15E+00 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------|