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CFVR8672 - AISC15: Chapter F Design of Members for Flexure .

Bending check according to AISC15 - WT-SHAPE FLEXURAL MEMBER

A T beam is subjected to a bending moment. The toe of the stem of the WT is in tension The beam is simply supported and continuously braced. The beam is ASTM A992 material. The aim of the example is to obtain the Available Flexural Strength according to AISC15 (LRFD/ASD). REFERENCE: Volume 1: Design Examples Version 15.1 EXAMPLE F.10 WT-SHAPE FLEXURAL MEMBER

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: CFVR8672.DAT


 FINISH
 ~CFCLEAR,,1
 NomFile='CFVR8672'
 /TITLE, %NomFile%, AISC15: Bending Check 
!--------------------------------------------------------------------------------------
! Model definition
!--------------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
  ~UNITS,,LENG,IN
  ~UNITS,,FORC,KIPS! in, sec, Kips
  ~CODESEL,AISC15

! Parameters
  M   = 2.16*12     ! Moment kip-in
  Fyy = 50        ! ksi
  Fuu = 65        ! ksi

/PREP7
! Preprocessor
! --------------------------------------------------
! Materials
 ~CFMP,1,LIB,STEEL,ASTM,A36 
!  ASTM A500 Grade C 
 ~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,1,1,63,13   !WT5x6.
     
  
  ~SSECDMS,1,T,1,4.94,0.19,3.96,0.21,,4.43
  ~SECMDF,1,MECHPROP,A        ,,1.77,2,0,0
  ~SECMDF,1,MECHPROP,IZZ      ,,4.35,2,0,0
  ~SECMDF,1,MECHPROP,WZ       ,,1.22,2,0,0
  ~SECMDF,1,MECHPROP,WY       ,,0.551,2,0,0   
  ~SECMDF,1,MECHPROP,IXX      ,,2.7e-02,2,0,0 
  ~SECMDF,1,MECHPROP,WPZ      ,,2.2,2,0,0 
  ~SECMDF,1,MECHPROP,WPY      ,,0.869,2,0,0   
  ~SECMDF,1,MECHPROP,IZ       ,,1.57,2,0,0 
  ~SECMDF,1,MECHPROP,IY       ,,0.785,2,0,0   
  ~SECMDF,1,MECHPROP,IZZ      ,,4.35,2,0,0

  ~UPDATE,BMSHPRO 

  
! member property: 
  ~MEMBPRO,1,AISC15,ALL,6*12,1.00,1.00,1.00,1.00,0,  

! 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,ALL,MZ,M
  
! Solve
  SOLVE
  
/POST1
! Postprocessor
! --------------------------------------------------
! Read results
  ~CFSET,,1                ! First load case
 
! Checking
  ~CHKSTL,BENDING,Z,LRFD  
  ~CHKSTL,BENDING,Z,ASD  
 
!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 11
  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) = 'MU'
  LABEL(2,1) = 'MP'
  LABEL(3,1) = 'MN_YLD'
  LABEL(4,1) = 'MN_FLB'
  LABEL(5,1) = 'CLS_BEND'
  LABEL(6,1) = 'CRT_LRFD'
  LABEL(7,1) = 'CRT_ASD'
  LABEL(8 ,1) = 'CRT_YLDL'  
  LABEL(9 ,1) = 'CRT_FLBL'  
  LABEL(10,1) = 'CRT_YLDA'  
  LABEL(11,1) = 'CRT_FLBA'    

! Correct values
  VALUE(1,1)= 25.92             ! required flexural strength
  VALUE(2,1)= 110         ! Plastic bending moment
  VALUE(3,1)= 97.6          ! Nominal Flexural Strength for yielding limit state
  VALUE(4,1)= 97.6          ! Nominal flexure strength for Flange Local Buckling limit state
  VALUE(5,1)= 2             ! the flange is noncompact 
  VALUE(6,1)= 0.295   ! LRFD CRITERION   
  VALUE(7,1)= 0.443   ! ASD  CRITERION 
  VALUE(8 ,1)= 0.295   ! Yielding CRITERION LRFD   
  VALUE(9,1)= 0.295   ! flange local buckling limit state CRITERION LRFD     
  VALUE(10,1)= 0.443   ! Yielding CRITERION ASD   
  VALUE(11,1)= 0.443   ! flange local buckling limit state CRITERION ASD    

! Comparison

~CFSET,1   ! LRFD 
 ~CFGET,VALUE(1,2),ELEMENT,1,RESULT,MU,I 
 ~CFGET,VALUE(2,2),ELEMENT,1,RESULT,MP,I 
 ~CFGET,VALUE(3,2),ELEMENT,1,RESULT,MN_YLD,I  
 ~CFGET,VALUE(4,2),ELEMENT,1,RESULT,MN_FLB,I    
 ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,CLS_BEND,I
 ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,CRT_TOT,I
 ~CFGET,VALUE(8,2),ELEMENT,1,RESULT,CRT_YLD,I
 ~CFGET,VALUE(9,2),ELEMENT,1,RESULT,CRT_FLB,I   
 
~CFSET,2  ! ASD 
 ~CFGET,VALUE(7,2),ELEMENT,1,RESULT,CRT_TOT,I
 ~CFGET,VALUE(10,2),ELEMENT,1,RESULT,CRT_YLD,I
 ~CFGET,VALUE(11,2),ELEMENT,1,RESULT,CRT_FLB,I   

! Warning and error tolerances
*DO,JJ,1,11
 TOLER(JJ,1)= 0.04*VALUE(JJ,1) $ TOLER(JJ,2)= 0.04*VALUE(JJ,1)
*ENDDO
  
!--------------------------------------------------------------------------------------
! Results comparison
!--------------------------------------------------------------------------------------
  COMPARA.MAC 

Results

LabelTargetCivilFEMRatioTolerance
MU 25.92 25.921.000 1.037
MP 110 1101.000 4.4
MN_YLD 97.6 97.61.000 3.904
MN_FLB 97.6 97.61.000 3.904
CLS_BEND 2 21.000 0.08
CRT_LRFD 0.295 0.295081.000 0.0118
CRT_ASD 0.443 0.443510.999 0.01772
CRT_YLDL 0.295 0.295081.000 0.0118
CRT_FLBL 0.295 0.295081.000 0.0118
CRT_YLDA 0.443 0.443510.999 0.01772
CRT_FLBA 0.443 0.443510.999 0.01772


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