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CFVR8656 - AISC15: Chapter E Design of Members for Compression.

Compression check according to AISC/ASD15 - RECTANGULAR HSS COMPRESSION MEMBER WITHOUT SLENDER ELEMENTS

An ASTM A500 Grade C rectangular HSS compression member with a length of 20ft 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.9 RECTANGULAR HSS COMPRESSION MEMBER WITHOUT SLENDER ELEMENTS

Element types used in the model: BEAM188

Needed CivilFEM Modules:
Geotechnical Module
Bridges and Civil Non Linearities Module
Advanced Prestressed Concrete Module

The example can be launched on an educational license.
KEYWORDS
Beam
Cross Section
Steel
Code Checking/Design
AISC15

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: CFVR8656.DAT


 FINISH
 ~CFCLEAR,,1
 NomFile='CFVR8656'
 /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,1,1,61,153   !TS 12x10 
  ~SECMDF,1,NAME,,,HSS rectangular 12x10x0.375

! member property: fixed-pinned condition effective length = 20 ft*0.80
  ~MEMBPRO,1,AISC15,ALL,20.00*12,0.80,0.80,1.000,1.000,20.00*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_LRFD'
  LABEL(6,1) = 'CRT_ASD'

! Correct values
  VALUE(1,1)=42.3         ! Flexural buckling stress (Spec. Eq. E3-2) 
  VALUE(2,1)=42.3*15.6         ! Nominal Compressive Strength (Spec. Eq. E3-1)  ** Section area is 15.6 in2
  VALUE(3,1)=125          ! Elastic  critical  buckling  stress (Spec. Eq. E3-4)  
  VALUE(4,1)=1.00         ! the section does not contain slender elements
  VALUE(5,1)=ABS(P/(0.90*42.3*15.6))   ! LRFD CRITERION   510/(0.90*618)
  VALUE(6,1)=ABS(P/(42.3*15.6/1.67))   ! ASD CRITERION    510/(618/1.67)

! 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

LabelTargetCivilFEMRatioTolerance
FCR 42.3 42.2481.001 1.692
PN 659.88 659.071.001 26.4
FE 125 124.231.006 5
CLS_COMP 1 11.000 0.04
CRT_LRFD 0.85874 0.85980.999 0.03435
CRT_ASD 1.2907 1.29230.999 0.05163


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