CFVR8651 - AISC15: Chapter E Design of Members for Compression.
Compression check according to AISC/ASD15 - W-shape column with pinned ends.
A W-shape column is subjected to a compression force.
The column of 30ft of length is pinned top and bottom in both axes. x-x axis unbraced length of 30 ft and y-y axis and torsional unbraced lengths of 15 ft.
The aim of the example is to obtain the compression criterion according to AISC15 (LRFD/ASD). REFERENCE: Volume 1: Design Examples Version 15.1 EXAMPLE E.1D W-SHAPE AVAILABLE STRENGTH CALCULATION
Element types used in the model: BEAM188 Needed CivilFEM Modules: |
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| Model Statistics | |
| Number of elements | 1 |
| Number of nodes | 2 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR8651.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR8651' /TITLE, %NomFile%, AISC15: Compression Check !-------------------------------------------------------------------------------------- ! Model definition !-------------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,IN ~UNITS,,TIME,S ~UNITS,,FORC,KIPS! in, sec, Kips ~CODESEL,AISC15 ! Parameters P = -840 ! Axial force kips Fyy = 50 ! ksi Fuu= 65 ! ksi /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,ASTM,A36 ! ASTM A992 ~CFMP,1,NAME,,,ASTM A992 ~CFMP,1,USER ~CFMP,1,AISC15 ,Fy,,Fyy ,1,0,0 ~CFMP,1,AISC15 ,Fu,,Fuu ,1,0,0 ! Element Types ET,1,188 ! Type 1: 3D Beam ! Cross Section ~SSECLIB,1,1,51,187 ! W 14x90 ! member property: K=KTOR=0.5 to get effective length = 15 ft ~MEMBPRO,1,AISC15,ALL,30.00*12,0.50,1.00,0.50,1.000,30.00*12, ! Beam & Shell Property ~BMSHPRO,1,BEAM,1,1,,,188,1,0,,Beam 1 ! Nodes N,1 N,2,,2 ! Elements SECNUM,1 REAL,1 E,1,2 /SOLU ! Solution ! -------------------------------------------------- ! Constrains D,1,ALL ! Apply Load F,2,FY,P ! Solve SOLVE /POST1 ! Postprocessor ! -------------------------------------------------- ! Read results ~CFSET,,1 ! First load case ! Checking ~CHKSTL,COMPRESS,Z,LRFD ~CHKSTL,COMPRESS,Z,ASD !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 6 NComp_ch = 0 ! Marix 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) = 'FCR' LABEL(2,1) = 'PN' LABEL(3,1) = 'FE' LABEL(4,1) = 'CLS_COMP' LABEL(5,1) = 'CRT_TOT_LRFD' LABEL(6,1) = 'CRT_TOT_ASD' ! Correct values VALUE(1,1)=38.90 ! Flexural buckling stress (Spec. Eq. E3-2) VALUE(2,1)=1030 ! Nominal Compressive Strength (Spec. Eq. E3-1) VALUE(3,1)=83.3 ! Elastic critical buckling stress (Spec. Eq. E3-4) VALUE(4,1)=1.00 ! FLANGES AND WEB are nonslender VALUE(5,1)=0.906 ! LRFD CRITERION 840/0.90*PN VALUE(6,1)=1.36 ! ASD CRITERION 840/(1030/1.67) ! Comparison ~CFSET,1 ! LRFD ~CFGET,VALUE(1,2),ELEMENT,1,RESULT,FCR,I ~CFGET,VALUE(2,2),ELEMENT,1,RESULT,PN,I ~CFGET,VALUE(3,2),ELEMENT,1,RESULT,FE,I ~CFGET,VALUE(4,2),ELEMENT,1,RESULT,CLS_COMP,I ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,CRT_TOT,I ~CFSET,2 ! ASD ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,CRT_TOT,I ! Warning and error tolerances *DO,JJ,1,6 TOLER(JJ,1)= 0.04*VALUE(JJ,1) $ TOLER(JJ,2)= 0.04*VALUE(JJ,1) *ENDDO !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| FCR | 38.9 | 38.887 | 1.000 | 1.556 |
| PN | 1030 | 1030.5 | 1.000 | 41.2 |
| FE | 83.3 | 83.259 | 1.000 | 3.332 |
| CLS_COMP | 1 | 1 | 1.000 | 0.04 |
| CRT_TOT_ | 0.906 | 0.9057 | 1.000 | 0.03624 |
| CRT_TOT_ | 1.36 | 1.3613 | 0.999 | 0.0544 |
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