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CFVR8684 - AISC15: Chapter H Design of Members for Combined Forces and Torsion.

Compression check according to AISC/ASD15 - ASTM A992 W-shape.

A W-shape column is subjected to combined compression and flexure.
The unbraced length is 30 ft and the ends are pinned. Assume the connections are made with no holes.
The aim of the example is to obtain the axial and flexural strengths criteria according to AISC15 (LRFD/ASD). REFERENCE: Volume 1: Design Examples Version 15.1 EXAMPLE H.4 W-SHAPE SUBJECT TO COMBINED AXIAL COMPRESSION AND FLEXURE

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: CFVR8684.DAT


 FINISH
 ~CFCLEAR,,1
 NomFile='CFVR8684'
 /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   = -30		! Axial force kips
  M1  = 90*12  ! kip-in
  M2  = 12*12	! kip-in 
  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,1,1,51,239   !W 10x33  

! member property: effective length = 14 ft  Cb=1.14
  ~MEMBPRO,1,AISC15,ALL,14.00*12,1.00,1.00,1.00,1.14,14.00*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
  F,ALL,MZ,M1
  F,ALL,MX,M2
! Solve
  SOLVE
  
  /POST1
! Postprocessor
! --------------------------------------------------
! Read results
  ~CFSET,,1                ! First load case
  
! Checking
 ~CHKSTL,BEND_AXL,Z,LRFD   
 ~CHKSTL,BEND_AXL,Z,ASD 
 
 !--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 9
  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) = 'PN'
  LABEL(2,1) = 'CRT_AXL'
  LABEL(3,1) = 'MN_YLD_Z'
  LABEL(4,1) = 'MN_LTB_Z'
  LABEL(5,1) = 'CRT_BDZ '
  LABEL(6,1) = 'MN_YLD_Y'
  LABEL(7,1) = 'CRT_BDY'  
  LABEL(8,1) = 'CRT_LRFD'
  LABEL(9,1) = 'CRT_ASD'

! Correct values
  VALUE(1,1)=281.1      ! Pn
  VALUE(2,1)=0.119      ! 30/253 CRT_AXL
  VALUE(3,1)=1940       !  nominal flexural strength due to yielding MN_YLD_Z
  VALUE(4,1)=1820       !  nominal flexural strength due to lateral-torsional buckling MN_LTB_Z
  VALUE(5,1)=0.66       ! 90*12/(1820*0.90) CRT_BDZ
  VALUE(6,1)=700        ! nominal flexural strength due to yielding MN_YLD_Y
  VALUE(7,1)=0.228      ! 12*12/(700*0.90) CRT_BDY
  VALUE(8,1)=0.944      ! LRFD CRITERION    H1-1a/H1-1b
  VALUE(9,1)=1.42       ! ASD CRITERION    H1-1a/H1-1b
  
! Comparison

~CFSET,1   ! LRFD 
 ~CFGET,VALUE(1,2),ELEMENT,1,RESULT,PN,I 
 ~CFGET,VALUE(2,2),ELEMENT,1,RESULT,CRT_AXL,I 
 ~CFGET,VALUE(3,2),ELEMENT,1,RESULT,MN_YLD_Z,I 
 ~CFGET,VALUE(4,2),ELEMENT,1,RESULT,MN_LTB_Z,I 
 ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,CRT_BDZ,I 
 ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,MN_YLD_Y,I
 ~CFGET,VALUE(7,2),ELEMENT,1,RESULT,CRT_BDY,I
 ~CFGET,VALUE(8,2),ELEMENT,1,RESULT,CRT_TOT,I 
 
~CFSET,2  ! ASD 
 ~CFGET,VALUE(9,2),ELEMENT,1,RESULT,CRT_TOT,I

! Warning and error tolerances
*DO,JJ,1,9
 TOLER(JJ,1)= 0.04*VALUE(JJ,1) $ TOLER(JJ,2)= 0.04*VALUE(JJ,1)
*ENDDO

  
!--------------------------------------------------------------------------------------
! Results comparison
!--------------------------------------------------------------------------------------
  COMPARA.MAC

 

Results

LabelTargetCivilFEMRatioTolerance
PN 281.1 280.581.002 11.24
CRT_AXL 0.119 0.11881.002 0.00476
MN_YLD_Z 1940 19401.000 77.6
MN_LTB_Z 1820 1821.60.999 72.8
CRT_BDZ 0.66 0.658751.002 0.0264
MN_YLD_Y 700 7001.000 28
CRT_BDY 0.228 0.228570.998 0.00912
CRT_LRFD 0.944 0.946720.997 0.03776
CRT_ASD 1.42 1.42290.998 0.0568


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