CFVR2306 - Steel checking according to LRFD

Bending and shear checking according to LRFD 2^nd Edition

A steel pinned-pìnned beam of 30 feet with W24x76 section is subjected to a vertical force of 500 kips at the middle of beam.
Determine the required flexural strength, plastic bending moment, total criterion and nominal shear strength according to LRFD.

Element types used in the model: BEAM3

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

Code Checking/Design

Steel

LRFD 2

Model Statistics
Number of elements	30
Number of nodes	31
Number of civil materials	1
Number of cross sections	1
Number of shell vertices	0

Log file: CFVR2306.DAT

   FINISH
   ~CFCLEAR,,1
   NomFile='CFVR2306'
   /TITLE, %NomFile%, LRFD: Bending and Shear Checking

!--------------------------------------------------------------------------------------
! Model definition
!--------------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
   ~CODESEL,LRFD,EC2,,,EC8-94
   ~UNITS,,MONE,EURO
   ~UNITS,,LENG,FT
   ~UNITS,,TIME,S
   ~UNITS,,FORC,KIPS
   ~UNITS,,PRES,,0,uuP
   ~UNITS,,MASS,,0,uuM

/PREP7
! Preprocessor
! --------------------------------------------------
! Materials
  ~CFMP,1,LIB,STEEL,ASTM,A572Gr50
! Element Types
  ET,1,Beam3
! Cross Section
  ~SSECLIB,1,1,51,109   ! W 24x76
! Beam & Shell Property
  ~BMSHPRO,1,BEAM,1,1,,,3,1,0,,Beam 1
! Member property
  ~MEMBPRO,1,LRFD,ALL,30.0,1.0,1.0,1.0,1.670,15.0,
  ~MEMBPRO,1,NLMOD,ALL,0
  ~MEMBPRO,1,NAME,Member Property 1
! Nodes
  N,1
  N,31,30,
  FILL,1,31,29,,,1,1,1,
! Elements
  E,1,2
  EGEN,30,1,1,1

! Solution
! --------------------------------------------------
/SOLU
! Constraints
  D,1,,,,,,UX,UY
  D,31,,,,,,UX,UY
  D,16,,,,,,UX
! Apply Load
  F,16,FY,-500

! Solve
  SOLVE

/POST1
! Postprocessor
! --------------------------------------------------
! Read results
  ~CFSET,,1,1                  ! First load step
! Axial+bending checking
  ~CHKSTL,BENDING
  ~CHKSTL,SHEAR

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 11
!  Paso  = 6
  NComp_ch = 0

! Matrix 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) = 'MP      '
  LABEL(2,1) = 'MP      '
  LABEL(3,1) = 'MU     '
  LABEL(4,1) = 'CRT_YLD '
  LABEL(5,1) = 'CRT_TOT '
  LABEL(6,1) = 'CRT_WLB '
  LABEL(7,1) = 'CLS_COMP'
  LABEL(8,1) = 'AW      '
  LABEL(9,1) = 'VN      '
  LABEL(10,1) = 'CRT_TOT '
  LABEL(11,1) = 'CLS_COMP'

! Correct values
  VALUE(1,1)=  0.83333339D+03
  VALUE(2,1)=   0.83333339D+03
  VALUE(3,1)=   0.25000000D+04
  VALUE(4,1)=   0.33333331D+01
  VALUE(5,1)=   0.33333331D+01
  VALUE(6,1)=   0.33333331D+01
  VALUE(7,1)=   0.30000000D+01
  VALUE(8,1)=   0.73088889D-01
  VALUE(9,1)=   0.31574400D+03
  VALUE(10,1)=  0.87975631D+00
  VALUE(11,1)=  0.30000000D+01

! Comparison
  ~CFSET,1
  ~CFGET,value( 1,2),ELEMENT,10,RESULT,MP      ,J
  ~CFGET,value( 2,2),ELEMENT,10,RESULT,MP      ,J
  ~CFGET,value( 3,2),ELEMENT,10,RESULT,MU      ,J
  ~CFGET,value( 4,2),ELEMENT,10,RESULT,CRT_YLD ,J
  ~CFGET,value( 5,2),ELEMENT,10,RESULT,CRT_TOT ,J
  ~CFGET,value( 6,2),ELEMENT,10,RESULT,CRT_WLB ,J
  ~CFGET,value( 7,2),ELEMENT,10,RESULT,CLS_COMP,J
  ~CFSET,2
  ~CFGET,value( 8,2),ELEMENT,10,RESULT,AW      ,J
  ~CFGET,value( 9,2),ELEMENT,10,RESULT,VN      ,J
  ~CFGET,value( 10,2),ELEMENT,10,RESULT,CRT_TOT ,J
  ~CFGET,value( 11,2),ELEMENT,10,RESULT,CLS_COMP,J
  ~CFSET,2

! Warning and error tolerances
  TOLER( 1, 1)= 1E-03 $ TOLER( 1, 2)= 1E-03
  TOLER( 2, 1)= 1E-03 $ TOLER( 2, 2)= 1E-03
  TOLER( 3, 1)= 1E-03 $ TOLER( 3, 2)= 1E-03
  TOLER( 4, 1)= 1E-03 $ TOLER( 4, 2)= 1E-03
  TOLER( 5, 1)= 1E-03 $ TOLER( 5, 2)= 1E-03
  TOLER( 6, 1)= 1E-03 $ TOLER( 6, 2)= 1E-03
  TOLER( 7, 1)= 1E-03 $ TOLER( 7, 2)= 1E-03
  TOLER( 8, 1)= 1E-03 $ TOLER( 8, 2)= 1E-03
  TOLER( 9, 1)= 1E-03 $ TOLER( 9, 2)= 1E-03
  TOLER(10, 1)= 1E-03 $ TOLER(10, 2)= 1E-03
  TOLER(11, 1)= 1E-03 $ TOLER(11, 2)= 1E-03

!--------------------------------------------------------------------------------------
! Results comparison
!--------------------------------------------------------------------------------------
  COMPARA.MAC

Results

Label	Target	CivilFEM	Ratio	Tolerance
MP	833.33	833.33	1.000	0.001
MP	833.33	833.33	1.000	0.001
MU	2500	2500	1.000	0.001
CRT_YLD	3.3333	3.3333	1.000	0.001
CRT_TOT	3.3333	3.3333	1.000	0.001
CRT_WLB	3.3333	3.3333	1.000	0.001
CLS_COMP	3	3	1.000	0.001
AW	0.073089	0.073089	1.000	0.001
VN	315.74	315.74	1.000	0.001
CRT_TOT	0.87976	0.87976	1.000	0.001
CLS_COMP	3	3	1.000	0.001

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CFVR2306 - Steel checking according to LRFD

Bending and shear checking according to LRFD 2nd Edition

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Bending and shear checking according to LRFD 2^nd Edition