Left

CivilFEM Online Help

Right

CFVR8666 - AISC15: Chapter F Design of Members for Flexure .

Bending check according to AISC15 - W-SHAPE WITH NONCOMPACT FLANGES IN MAJOR 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.3B W-SHAPE FLEXURAL MEMBER WITH NONCOMPACT FLANGES IN MAJOR 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: CFVR8666.DAT


 FINISH
 ~CFCLEAR,,1
 NomFile='CFVR8666'
 /TITLE, %NomFile%, AISC15: Bending Check 
!--------------------------------------------------------------------------------------
! Model definition
!--------------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
  ~UNITS,,LENG,IN
  ~UNITS,,FORC,KIPS! in, sec, Kips
  ~CODESEL,AISC15

! Parameters
  M  = 396*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 W 21x48
  ~SSECDMS,1,I,1,20.6,0.35,8.14,0.43,,19  ! W 21x48
  

! member property: 
  ~MEMBPRO,1,AISC15,ALL,40*12,1.00,1.00,1.00,1.00,0,  

! Beam & Shell Property
  ~BMSHPRO,1,BEAM,1,1,,,188,1,0,,Beam 1

! W 21x48 data
  ~SECMDF,1,MECHPROP,A        ,,14.1,2,0,0
  ~SECMDF,1,UPDATE
  ~SECMDF,1,MECHPROP,WZ       ,,93 ,2,0,0 
  ~SECMDF,1,UPDATE
  ~SECMDF,1,MECHPROP,WPZ      ,,107 ,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,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)= 4752               ! required flexural strength
  VALUE(2,1)= 5350            ! Plastic bending moment 
  VALUE(3,1)= 5350            ! Nominal Flexural Strength for yielding limit state
  VALUE(4,1)= 5310            ! Nominal Flexural Strength of compression flange local buckling
  VALUE(5,1)= 2.00            ! NONCOMPACT FLANGES 
  VALUE(6,1)= 0.994   ! LRFD CRITERION   
  VALUE(7,1)= 1.49   ! ASD CRITERION  
  VALUE(8 ,1)= 0.987   ! Yielding CRITERION LRFD   
  VALUE(9 ,1)= 0.994   ! flange local buckling limit state CRITERION LRFD     
  VALUE(10,1)= 1.48   ! Yielding CRITERION ASD   
  VALUE(11,1)= 1.49  ! 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 4752 47521.000 190.1
MP 5350 53501.000 214
MN_YLD 5350 53501.000 214
MN_FLB 5310 5290.31.004 212.4
CLS_BEND 2 21.000 0.08
CRT_LRFD 0.994 0.998060.996 0.03976
CRT_ASD 1.49 1.50010.993 0.0596
CRT_YLDL 0.987 0.986921.000 0.03948
CRT_FLBL 0.994 0.998060.996 0.03976
CRT_YLDA 1.48 1.48330.998 0.0592
CRT_FLBA 1.49 1.50010.993 0.0596


Contains proprietary and confidential information of Ingeciber, S.A.