CFVR2308 - Steel checking according to LRFD
W-Shape beam subjected to combined torsion, flexure, shear and axial compression force according to LRFD 2nd Edition
A steel pinned-pinned beam with an unbraced length of 30 feet with W 14x82 section is subjected to uniform dead load of 0.45 kip/ft and a uniform live load of 0.69 kip/ft and both 0.20 kip/ft for the other perpendicular plane. These loads have 0.3 ft of eccentricity to take into account torsional forces.
Determine the section classification, required normal and shear stress and total criterion according to LRFD.
Element types used in the model: BEAM188 Needed CivilFEM Modules: |
|
| Model Statistics | |
| Number of elements | 10 |
| Number of nodes | 11 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR2308.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR2308' /TITLE, %NomFile%,LRFD: Combined torsion flex+shear+axial Checking !-------------------------------------------------------------------------------------- ! Model definition !-------------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~CODESEL,LRFD ~UNITS,,LENG,ft ~UNITS,,TIME,S ~UNITS,,FORC,KIPS ~UNITS,,PRES,,0 ,ksi /PREP7 ! Parameters LBEAM = 30 ! Length of the beam (ft) C_b = 1.14 ! Bending coefficient Lb = 30 ! Lateral support length NELEM = 10 ! Number of elements ! LoadS Pu = 1.2*29.0 + 1.6*87.0 ! tension load (kips) Wuy = 1.2*0.45 + 1.6*0.69 ! Nominal loads (kip/ft) Wuz = 1.2*0.20 + 1.6*0.20 ! Nominal loads (kip/ft) ! Material ~CFMP,1,LIB,STEEL,ASTM,A572Gr50 ! Hot rolled section ~SSECLIB,1,1,51,188 !W 14x82 ! Element type ET,1,Beam188 ! Member properties ~MEMBPRO,1,LRFD,ALL,LBEAM,1.0,1.0,1.0,C_b,Lb ! Beam Properties ~BMSHPRO,1,BEAM,1,1,,,188,1,0,,Beam 1 ~BMSHOFF,1,2,0,0.3,0,0.3 ! Model N,1, N,NELEM+1,LBEAM,0 NGEN,NELEM,1,1,,,LBEAM/NELEM E,1,2 EGEN,NELEM,1,1,, /SOLU D,1,UX D,1,UY D,1,UZ D,1,ROTX D,NELEM+1,UY D,NELEM+1,UZ ! Apply tension Load F,NELEM+1,Fx,-Pu ! Pressure SFBEAM,ALL,2,PRES,Wuy SFBEAM,ALL,1,PRES,Wuz SOLVE /POST1 ~CFSET,,1 ~CHKSTL,BDAXSHTR !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 6 NComp_ch = 0 ! Matrix dim. *DIM,LABEL,CHAR,Ncomp,1 *DIM,LABEL_CH,CHAR,Ncomp_ch,1 *DIM,VALUE,,Ncomp,3 *DIM,VALUE_CH,CHAR,Ncomp_ch,3 *DIM,TOLER,,Ncomp,2 ! Labels LABEL(1,1) = 'FUN ' LABEL(2,1) = 'FUV ' LABEL(3,1) = 'FCRFBK ' LABEL(4,1) = 'FCRFTBK ' LABEL(5,1) = 'CRT_TOT ' LABEL(6,1) = 'CLS_BEND' ! Correct values VALUE(1,1)= 5279 VALUE(2,1)= 2374 VALUE(3,1)= 5558 VALUE(4,1)= 1715 VALUE(5,1)= 1.63 VALUE(6,1)= 1 ! Comparison ~PLLSSTL,FUN *GET,VALUE(1,2),ELEM,1,ETAB,CFETAB_I ~PLLSSTL,FUV *GET,VALUE(2,2),ELEM,1,ETAB,CFETAB_I ~PLLSSTL,FCRFBK *GET,VALUE(3,2),ELEM,1,ETAB,CFETAB_I ~PLLSSTL,FCRFTBK *GET,VALUE(4,2),ELEM,1,ETAB,CFETAB_I ~PLLSSTL,CRT_TOT *GET,VALUE(5,2),ELEM,1,ETAB,CFETAB_I ~PLLSSTL,CLS_BEND *GET,VALUE(6,2),ELEM,1,ETAB,CLASS_I ! Warning and error tolerances TOLER( 1, 1)= 1E+01 $ TOLER( 1, 2)= 1E+01 TOLER( 2, 1)= 1E+01 $ TOLER( 2, 2)= 1E+01 TOLER( 3, 1)= 1E+01 $ TOLER( 3, 2)= 1E+01 TOLER( 4, 1)= 1E+01 $ TOLER( 4, 2)= 1E+01 TOLER( 5, 1)= 1E-01 $ TOLER( 5, 2)= 1E-01 TOLER( 6, 1)= 1E-01 $ TOLER( 6, 2)= 1E-01 !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| FUN | 5279 | 5278.9 | 1.000 | 10 |
| FUV | 2374 | 2374.3 | 1.000 | 10 |
| FCRFBK | 5558 | 5557.7 | 1.000 | 10 |
| FCRFTBK | 1715 | 1715.4 | 1.000 | 10 |
| CRT_TOT | 1.63 | 1.6284 | 1.001 | 0.1 |
| CLS_BEND | 1 | 1 | 1.000 | 0.1 |
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