CFVR8659 - AISC15: Chapter E Design of Members for Compression.
Compression check according to AISC/ASD15 - RECTANGULAR HSS COMPRESSION MEMBER WITH SLENDER ELEMENTS
An ASTM A500 Grade C rectangular HSS compression member with a length of 40ft is subjected to axial compression
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.10 RECTANGULAR HSS COMPRESSION MEMBER WITH SLENDER ELEMENTS
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: CFVR8659.DAT
! Table E.10. Analysis of HSS12x8x3/16 Column at Different Effective Lengths (E-60) FINISH ~CFCLEAR,,1 NomFile='CFVR8659' /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 = -510 ! Axial force kips Fyy = 50 ! ksi Fuu = 62 ! ksi /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,ASTM,A36 ! ASTM A500 Grade C ~CFMP,1,NAME,,,ASTM A500 Grade C ~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 HSS rectangular ~SSECLIB,1,1,61,161 !TS 12x8 ~SECMDF,1,NAME,,,HSS rectangular 12x8x3/16 ! member property: pinned-pinned condition, effective length = 40 ft ~MEMBPRO,1,AISC15,ALL,40.00*12,1.00,1.00,1.000,1.000,40.00*12, ! Beam & Shell Property ~BMSHPRO,1,BEAM,1,1,,,188,1,0,,Beam 1 ! Area Update HSS rectangular 12x8x0.188 ~SECMDF,1,MECHPROP,A ,,6.760,2,0,0 ~SECMDF,1,UPDATE ~UPDATE,BMSHPRO ! 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_LRFD' LABEL(6,1) = 'CRT_ASD' ! Correct values PI=acos(-1) VALUE(1,1)=12.2 ! Flexural buckling stress (Spec. Eq. E3-2) VALUE(2,1)=82.5 ! Nominal Compressive Strength (Spec. Eq. E3-1) VALUE(3,1)=(PI**2*29000)/(40*12/3.35)**2 ! Elastic critical buckling stress (Spec. Eq. E3-4) VALUE(4,1)=2.00 ! slender elements VALUE(5,1)=ABS(P/(0.90*82.5)) ! ! LRFD CRITERION VALUE(6,1)=ABS(P/(82.5/1.67)) ! ! ASD CRITERION ! 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)= 0.03*VALUE(JJ,1) $ TOLER(JJ,2)= 0.03*VALUE(JJ,1) *ENDDO !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| FCR | 12.2 | 12.154 | 1.004 | 0.366 |
| PN | 82.5 | 82.159 | 1.004 | 2.475 |
| FE | 13.941 | 13.858 | 1.006 | 0.4182 |
| CLS_COMP | 2 | 2 | 1.000 | 0.06 |
| CRT_LRFD | 6.8687 | 6.8972 | 0.996 | 0.2061 |
| CRT_ASD | 10.324 | 10.367 | 0.996 | 0.3097 |
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