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CFVR8667 - AISC15: Chapter F Design of Members for Flexure .

Bending check according to AISC15 - W-SHAPE IN MINOR AXIS

A W-shape beam is subjected to a bending moment.
The beam is simply supported and braced only at the ends. 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.5 I-SHAPED FLEXURAL MEMBER IN MINOR AXIS BENDING

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: CFVR8667.DAT


 FINISH
 ~CFCLEAR,,1
 NomFile='CFVR8667'
 /TITLE, %NomFile%, AISC15: Bending Check 
!--------------------------------------------------------------------------------------
! Model definition
!--------------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
  ~UNITS,,LENG,IN
  ~UNITS,,FORC,KIPS! in, sec, Kips
  ~CODESEL,AISC15

! Parameters
  M  = 113*12     ! Moment 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,1,1,51,217   !W 12x58  
  
! member property: 
  ~MEMBPRO,1,AISC15,ALL,15*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
  SFBEAM,ALL,1,pres,M
  
! Solve
  SOLVE
  
  /POST1
! Postprocessor
! --------------------------------------------------
! Read results
  ~CFSET,,1                ! First load case
 
! Checking
  ~CHKSTL,BENDING,Y,LRFD  
  ~CHKSTL,BENDING,Y,ASD  
 
 !--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 8
  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) = 'CLS_BEND'
  LABEL(5,1) = 'CRT_LRFD'
  LABEL(6,1) = 'CRT_ASD'
  LABEL(7,1) = 'CRT_YLDL'
  LABEL(8,1) = 'CRT_YLDA'      

! Correct values
  VALUE(1,1)= 1356               ! required flexural strength
  VALUE(2,1)= 1630            ! Plastic bending moment  
  VALUE(3,1)= 1630            ! Nominal Flexural Strength for yielding limit state
  VALUE(4,1)= 1.00            ! COMPACT BEAM 
  VALUE(5,1)= 0.924   ! LRFD CRITERION   
  VALUE(6,1)= 1.389   ! ASD CRITERION  
  VALUE(7,1)= 0.924   ! Yielding CRITERION LRFD
  VALUE(8,1)= 1.389   ! Yielding 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,CLS_BEND,I
 ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,CRT_TOT,I
 ~CFGET,VALUE(7,2),ELEMENT,1,RESULT,CRT_YLD,I   
 
~CFSET,2  ! ASD 
 ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,CRT_TOT,I
 ~CFGET,VALUE(8,2),ELEMENT,1,RESULT,CRT_YLD,I  

! Warning and error tolerances
*DO,JJ,1,8
 TOLER(JJ,1)= 0.04*VALUE(JJ,1) $ TOLER(JJ,2)= 0.04*VALUE(JJ,1)
*ENDDO
  
!--------------------------------------------------------------------------------------
! Results comparison
!--------------------------------------------------------------------------------------
  COMPARA.MAC 

 

Results

LabelTargetCivilFEMRatioTolerance
MU 1356 13561.000 54.24
MP 1630 16251.003 65.2
MN_YLD 1630 16251.003 65.2
CLS_BEND 1 11.000 0.04
CRT_LRFD 0.924 0.927180.997 0.03696
CRT_ASD 1.389 1.39360.997 0.05556
CRT_YLDL 0.924 0.927180.997 0.03696
CRT_YLDA 1.389 1.39360.997 0.05556


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