V. AISC 360-05 HSST Compact Flange F.6
Details
From reference (2):
Select a square ASTM A500 Gr. B HSS beam to span 7.5 feet. The nominal loads are a uniform dead load of 0.145 kip/ft and a uniform live load of 0.435 kip/ft. Limit the live load deflection to L/240 . Assume the beam is continuously braced.
Validation
Ultimate moment:
Service moment:
Calculate the minimum required moment of inertia:
| (Ref. 1, Table 3-23, Diagram 1) |
Try a HSS 3×3×1/4, which has a plastic section modulus, Ix = 3.02 in4 , Zx = 2.48 in3 .
The yield strength, Fy = 46 ksi
Flange compactness: λ = b/t = 9.88
Determine the compact flange ratio limit from Table B4.1b: (Compact)
The available flexural strength:
LRFD:
ASD:
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| ϕbMn (ft·k) [LRFD] | 8.56 | 8.56 | none | the reference gives a nominally different answer due to rounding |
| Mn/Ωb (ft·k) [ASD] | 5.69 | 5.69 | none |
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 HSST Compact Flange F.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 18-Feb-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 7.5 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 HSST3X3X0.25
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 -0.145
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
MEMBER LOAD
1 UNI GY -0.435
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 8352 ALL
FYLD 6624 ALL
FLX 2 ALL
METHOD LRFD
TRACK 2 ALL
CHECK CODE ALL
LOAD LIST 4
PARAMETER 2
CODE AISC UNIFIED 2005
FU 8352 ALL
FYLD 6624 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 ST HSST3X3X0.25 (AISC SECTIONS) PASS Eq. H1-1b 0.715 3 0.00 0.00 -6.12 3.75 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 80.897 L/C : 3 | | Allowable Slenderness Ratio : 300.000 LOC : 3.75 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 3 Ratio : 0.715(PASS) | | Loc : 3.75 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: -6.117E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.072E+00 Ayy: 1.072E+00 Cw: 0.000E+00 | | Szz: 2.013E+00 Syy: 2.013E+00 | | Izz: 3.020E+00 Iyy: 3.020E+00 Ix: 5.080E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 6623.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 7.500 | | 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 0.00 N/A 0.00 N/A | | Non-Slender 9.88 N/A 35.15 T.B4.1-12 | | Flexure : Compact 9.88 28.12 35.15 T.B4.1-12 | | Compact 9.88 60.76 143.12 T.B4.1-13 | 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 1.01E+02 0.000 Eq. D2-1 3 0.00 | | Rupture 0.00E+00 1.06E+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 6.50E+01 0.000 Sec. E1 3 0.00 | | Min Buck 0.00E+00 6.50E+01 0.000 Eq. E3-1 3 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.69E-02 80.90 4.27E+03 6.30E+03 7.23E+01 | | Min Buck 1.69E-02 80.90 4.27E+03 6.30E+03 7.23E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 2.66E+01 0.000 Eq. G2-1 3 0.00 | | Local-Y -3.26E+00 2.66E+01 0.122 Eq. G2-1 3 7.50 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 7.45E-03 1.00 5.00 9.88 2.96E+01 | | Local-Y 7.45E-03 1.00 5.00 9.88 2.96E+01 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 0.00E+00 7.29E+00 0.000 Eq. H3-1 3 0.00 | | Intermediate Fcr Tn | | 3.97E+03 8.10E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 6.12E+00 8.56E+00 0.715 Eq. F7-1 3 3.75 | | Minor 0.00E+00 8.56E+00 0.000 Eq. F7-1 3 0.00 | | Intermediate Mn My | | Major 9.51E+00 0.00E+00 | | Minor 9.51E+00 0.00E+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 FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.715 Eq. H1-1b 3 3.75 | | Flexure Tens 0.715 Eq. H1-1b 3 3.75 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 8.56E+00 6.12E+00 6.50E+01 | | 8.56E+00 0.00E+00 0.00E+00 | | Flexure Tens 8.56E+00 6.12E+00 1.01E+02 | | 8.56E+00 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------| 48. LOAD LIST 4 49. PARAMETER 2 50. CODE AISC UNIFIED 2005 51. FU 8352 ALL 52. FYLD 6624 ALL 53. FLX 2 ALL 54. METHOD ASD 55. TRACK 2 ALL 56. 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-360-05-ASD) v3.3a ******************************************** ALL UNITS ARE - KIP FEET (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 1 ST HSST3X3X0.25 (AISC SECTIONS) PASS Eq. H1-1b 0.716 4 0.00 0.00 -4.08 3.75 |-----------------------------------------------------------------------| | SLENDERNESS | | Actual Slenderness Ratio : 80.897 L/C : 4 | | Allowable Slenderness Ratio : 300.000 LOC : 3.75 | |-----------------------------------------------------------------------| | STRENGTH CHECKS | | Critical L/C : 4 Ratio : 0.716(PASS) | | Loc : 3.75 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: -4.078E+00 | |-----------------------------------------------------------------------| | SECTION PROPERTIES (UNIT: INCH) | | Azz: 1.072E+00 Ayy: 1.072E+00 Cw: 0.000E+00 | | Szz: 2.013E+00 Syy: 2.013E+00 | | Izz: 3.020E+00 Iyy: 3.020E+00 Ix: 5.080E+00 | |-----------------------------------------------------------------------| | MATERIAL PROPERTIES | | Fyld: 6623.999 Fu: 8351.999 | |-----------------------------------------------------------------------| | Actual Member Length: 7.500 | | 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 0.00 N/A 0.00 N/A | | Non-Slender 9.88 N/A 35.15 T.B4.1-12 | | Flexure : Compact 9.88 28.12 35.15 T.B4.1-12 | | Compact 9.88 60.76 143.12 T.B4.1-13 | 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 6.72E+01 0.000 Eq. D2-1 4 0.00 | | Rupture 0.00E+00 7.08E+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 4.33E+01 0.000 Sec. E1 4 0.00 | | Min Buck 0.00E+00 4.33E+01 0.000 Eq. E3-1 4 0.00 | | Intermediate | | Results Eff Area KL/r Fcr Fe Pn | | Maj Buck 1.69E-02 80.90 4.27E+03 6.30E+03 7.23E+01 | | Min Buck 1.69E-02 80.90 4.27E+03 6.30E+03 7.23E+01 | |-----------------------------------------------------------------------| | CHECK FOR SHEAR | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Local-Z 0.00E+00 1.77E+01 0.000 Eq. G2-1 4 0.00 | | Local-Y -2.17E+00 1.77E+01 0.123 Eq. G2-1 4 7.50 | | Intermediate | | Results Aw Cv Kv h/tw Vn | | Local-Z 7.45E-03 1.00 5.00 9.88 2.96E+01 | | Local-Y 7.45E-03 1.00 5.00 9.88 2.96E+01 | |-----------------------------------------------------------------------| | CHECK FOR TORSION | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | 0.00E+00 4.85E+00 0.000 Eq. H3-1 4 0.00 | | Intermediate Fcr Tn | | 3.97E+03 8.10E+00 | |-----------------------------------------------------------------------| | CHECK FOR BENDING-YIELDING | | | | FORCE CAPACITY RATIO CRITERIA L/C LOC | | Major 4.08E+00 5.69E+00 0.716 Eq. F7-1 4 3.75 | | Minor 0.00E+00 5.69E+00 0.000 Eq. F7-1 4 0.00 | | Intermediate Mn My | | Major 9.51E+00 0.00E+00 | | Minor 9.51E+00 0.00E+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 FLEXURE TENS/COMP INTERACTION | | RATIO CRITERIA L/C LOC | | Flexure Comp 0.716 Eq. H1-1b 4 3.75 | | Flexure Tens 0.716 Eq. H1-1b 4 3.75 | | Intermediate Mcx Mrx Pc | | Mcy Mry Pr | | Flexure Comp 5.69E+00 4.08E+00 4.33E+01 | | 5.69E+00 0.00E+00 0.00E+00 | | Flexure Tens 5.69E+00 4.08E+00 6.72E+01 | | 5.69E+00 0.00E+00 0.00E+00 | |-----------------------------------------------------------------------|