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CFVR8668 - AISC15: Chapter F Design of Members for Flexure .

Bending check according to AISC15 - SQUARE HSS WITH COMPACT FLANGES

A HSS beam is subjected to a bending moment.
The beam is simply supported and braced only at the ends. The beam is ASTM A500 Grade C 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.6 SQUARE HSS FLEXURAL MEMBER WITH COMPACT FLANGES

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: CFVR8668.DAT


 FINISH
 ~CFCLEAR,,1
 NomFile='CFVR8668'
 /TITLE, %NomFile%, AISC15: Bending Check 
!--------------------------------------------------------------------------------------
! Model definition
!--------------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
  ~UNITS,,LENG,IN
  ~UNITS,,FORC,KIPS! in, sec, Kips
  ~CODESEL,AISC15

! Parameters
  M   = 6.12*12     ! Moment kip-in
  Fyy = 50        ! ksi
  Fuu = 62        ! ksi

/PREP7
! Preprocessor
! --------------------------------------------------
! Materials
 ~CFMP,1,LIB,STEEL,ASTM,A36 
!  ASTM A500 Grade C 
 ~CFMP,1,NAME,,,ASTM A500 Grade C 
 ~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,1,1,61,79   !TS 3 1/2x3 1/2
  
! member property: 
  ~MEMBPRO,1,AISC15,ALL,7.5*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 = 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)= 73.44                  ! required flexural strength
  VALUE(2,1)= 50*2.07            ! Plastic bending moment  
  VALUE(3,1)= 50*2.07            ! Nominal Flexural Strength for yielding limit state
  VALUE(4,1)= 2.00               ! 
  VALUE(5,1)= 0.788   ! LRFD CRITERION   
  VALUE(6,1)= 1.18   ! ASD CRITERION  
  VALUE(7,1)= 0.788   ! Yielding CRITERION LRFD
  VALUE(8,1)= 1.18  ! 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 73.44 73.441.000 2.938
MP 103.5 103.51.000 4.14
MN_YLD 103.5 103.51.000 4.14
CLS_BEND 2 21.000 0.08
CRT_LRFD 0.788 0.790570.997 0.03152
CRT_ASD 1.18 1.18820.993 0.0472
CRT_YLDL 0.788 0.788411.000 0.03152
CRT_YLDA 1.18 1.1850.996 0.0472


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