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CFVR8662 - AISC15: Chapter F Design of Members for Flexure .

Bending check according to AISC15 - W-SHAPE FLEXURAL MEMBER DESIGN

A W-shape beam is subjected to a bending moment.
The beam is simply supported and braced at the ends and third points. 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.1-2B W-SHAPE FLEXURAL MEMBER DESIGN IN MAJOR AXIS BENDING, BRACED AT THIRD POINTS

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: CFVR8662.DAT


 FINISH
 ~CFCLEAR,,1
 NomFile='CFVR8662'
 /TITLE, %NomFile%, AISC15: Bending Check 
!--------------------------------------------------------------------------------------
! Model definition
!--------------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
  ~UNITS,,LENG,FT 
  ~UNITS,,FORC,KIPS   ! ft, Kips
  ~CODESEL,AISC15

! Parameters
  M  = 266		         ! Moment kip-ft
  Fyy = 50*12**2         ! ksf
  Fuu = 65*12**2         ! ksf

/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,1,1,51,148   !W 18x50  

! member property: Cb=1.01
  ~MEMBPRO,1,AISC15,ALL,35,1.00,1.00,1.00,1.01,35/3,  

! 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_LTB'  
  LABEL(5,1) = 'CLS_BEND'
  LABEL(6,1) = 'CRT_LRFD'
  LABEL(7,1) = 'CRT_ASD'
  LABEL(8,1) = 'CRT_YLDL'  
  LABEL(9,1) = 'CRT_LTBL'  
  LABEL(10,1) = 'CRT_YLDA'  
  LABEL(11,1) = 'CRT_LTBA'    

! Correct values
  VALUE(1,1)= 266              ! required flexural strength
  VALUE(2,1)= 421            ! Plastic bending moment  
  VALUE(3,1)= 421            ! Nominal Flexural Strength for yielding limit state
  VALUE(4,1)= 339            ! Nominal Flexural Strength for lateral-torsional buckling limit state
  VALUE(5,1)= 1.00           ! COMPACT BEAM
  VALUE(6,1)= 0.87   ! LRFD CRITERION   
  VALUE(7,1)= 1.3  ! ASD CRITERION  
  VALUE(8 ,1)= 0.70  ! Yielding CRITERION LRFD   
  VALUE(9 ,1)= 0.87   ! lateral-torsional buckling limit state CRITERION LRFD     
  VALUE(10,1)= 1.05   ! Yielding CRITERION ASD   
  VALUE(11,1)= 1.3  ! lateral-torsional 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_LTB,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_LTB,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_LTB,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 266 2661.000 10.64
MP 421 420.831.000 16.84
MN_YLD 421 420.831.000 16.84
MN_LTB 339 339.450.999 13.56
CLS_BEND 1 11.000 0.04
CRT_LRFD 0.87 0.870680.999 0.0348
CRT_ASD 1.3 1.30860.993 0.052
CRT_YLDL 0.7 0.702310.997 0.028
CRT_LTBL 0.87 0.870680.999 0.0348
CRT_YLDA 1.05 1.05560.995 0.042
CRT_LTBA 1.3 1.30860.993 0.052


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