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CFVR2610 - BS 5950 (2001) Bending and shear

Bending and shear checking according to British Standard 5950-01.

A fixed steel beam subjected to a surface load of 4.2 KN/m.
The beam has a length of 10 m.
The cross section is a pipe which has 0.4498 m for radius and 7.6 mm thickness.
The beam is made of Gr43 steel.
The aim of the example is to obtain the bending and shear criterion according to BS 5950-01.

Element types used in the model: BEAM4

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
BS 5950-01

Model Statistics
Number of elements 9
Number of nodes 10
Number of civil materials 1
Number of cross sections 1
Number of shell vertices 0

Log file: CFVR2610.DAT


  FINISH
  ~CFCLEAR,,1
  NomFile='CFVR2610'
  /TITLE, %NomFile%, BS 5950 (1985) Bending and shear

!--------------------------------------------------------------------------------------
! Model definition and solve
!--------------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
 ~UNITS,,LENG,M
 ~UNITS,,TIME,S
 ~UNITS,,FORC,KN
 ~CODESEL,BS595001,BS8110,,,EC8-94

/PREP7
! Preprocessor
! --------------------------------------------------
! Materials
! Mat 1: Fe430
  ~CFMP,1,LIB,STEEL,BS5950,Gr43
! Element Types
  ET,1,BEAM4  ! Type 1: 3D Beam
! Cross Section
  ~SSECLIB,1,1,501,2
! Member properties (Not needed)
! Beam & Shell properties
  ~BMSHPRO,1,BEAM,1,1,,,4,1,0,,Beam 1

! Keypoints
  K,1,,,,
  K,2,3,,,
  K,3,6,,,
  K,4,9,,,
! Lines
 LSTR,       1,       2
 LSTR,       2,       3
 LSTR,       3,       4
! Meshing
 TYPE,1
 MAT,1
 REAL,1
 ESIZE,1,0,
 LMESH,all      ! First span

/SOLU
! Solution
! --------------------------------------------------
! Displacements
 DK,1,UX,,,,UY,UZ,ROTX
 DK,4,UX,,,,UY,UZ,ROTX
 FK,1,MZ,282
! Apply Load
 FK,4,MZ,-231
 FK,2,FY,-152
 FK,3,FY,-76
 SFBEAM,ALL,2,PRES,4.2,
! Solve
  SOLVE

/POST1
! Postprocessor
! --------------------------------------------------
! Read results
  ~CFSET,,1,1       ! First load case
! BS 5950 Check for Bending
  ~CHKSTL,BENDING, ,-Z

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 5
  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) = 'MC'
  LABEL(2,1) = 'PV'
  LABEL(3,1) = 'CRT_V'
  LABEL(4,1) = 'CRT_M'
  LABEL(5,1) = 'CRT_TOT'

! Correct values
  VALUE(1,1)=301.675
  VALUE(2,1)=564.049
  VALUE(3,1)=253.228E-3
  VALUE(4,1)=39.9989E-3
  VALUE(5,1)=253.228E-3

! Obtained values
  ! BS 5950 Check for Bending+Shear
   ~CFSET,1      ! Load first alternative
   ~PLLSSTL,MC
   *GET,VALUE(1,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,PV
   *GET,VALUE(2,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,CRT_V
   *GET,VALUE(3,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,CRT_M
   *GET,VALUE(4,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,CRT_TOT
   *GET,VALUE(5,2),ELEM,3,ETAB,CFETAB_I

! Warning and error tolerances
  TOLER( 1, 1)= 10   $ TOLER( 1, 2)= 10
  TOLER( 2, 1)= 10   $ TOLER( 2, 2)= 10
  TOLER( 3, 1)= 1E-2 $ TOLER( 3, 2)= 1E-1
  TOLER( 4, 1)= 1E-3 $ TOLER( 4, 2)= 1E-2
  TOLER( 5, 1)= 1E-2 $ TOLER( 5, 2)= 1E-1

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

Results

LabelTargetCivilFEMRatioTolerance
MC 301.68 301.681.000 10
PV 564.05 564.051.000 10
CRT_V 0.25323 0.253231.000 0.1
CRT_M 0.039999 0.0399991.000 0.01
CRT_TOT 0.25323 0.253231.000 0.1


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