CFVR8705 - AISC-LRFD14: Shear Checking of a C-shape Section

Shear checking according to AISC-LRFD14 C-shape cross section.

A cantilever steel beam is subjected to end shears of 17.5 kips from dead load and 52.5 kips from live load.
The beam has a length of 100 in.
Section material properties: ASTM A36, Fy = 36 ksi , Fu = 58 ksi
Geometric properties: C 15x33.9, d = 15.0 in., tw = 0.400 in. The aim of the example is to obtain the shear criterion according to AISC-LRFD14.
Reference: AISC, Design Examples, Version 13.0 Example G.2a, C-Shape in Strong-Axis Shear

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

Steel

Code Checking/Design

AISC14

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: CFVR8705.DAT

! DESCRIPTION 

FINISH
~CFCLEAR,,1
NomFile='CFVR8705'
/TITLE, %NomFile%, AISC-LRFD14: Shear Checking C-Shape section

!-------------------------------------------------------------------------------
! Model definition
!-------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
~UNITS,,LENG,IN
~UNITS,,TIME,S
~UNITS,,FORC,KIPS
~CODESEL,AISC14
   

/PREP7

! Materials
~CFMP,1,LIB,STEEL,ASTM,A36

! Element Types
ET,1,BEAM3  ! Type 1: 2D Beam

! Cross Section
~SSECLIB,1,1,55,3   !C  15x 33.9

! Beam & Shell Property
~BMSHPRO,1,BEAM,1,1,,,3,1,0,,Beam 1

! Nodes
N,1,0.,0.
N,2,100.,0.

! Elements
E,1,2
  
/SOLU
! Loads
D,1,ALL
F,2,FY,17.5 + 52.5

SOLVE

/POST1
~CFSET,,1,1 
~CHKSTL,SHEAR,Z,LRFD
!-------------------------------------------------------------------------------------
! DATA CHECK
!-------------------------------------------------------------------------------------
! Data comparison number
NComp = 3
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) = 'VN'
LABEL(2,1) = 'AW'
LABEL(3,1) = 'CRT_TOT'

! Correct values
VALUE(1,1) = 129.6
VALUE(2,1) = 6.
VALUE(3,1) = 70/(129.6*0.9)

! Comparison
~PLLSSTL,VN
*GET,VALUE(1,2),ELEM,1,ETAB,CFETAB_J
~PLLSSTL,AW
*GET,VALUE(2,2),ELEM,1,ETAB,CFETAB_J
~PLLSSTL,CRT_TOT
*GET,VALUE(3,2),ELEM,1,ETAB,CFETAB_J

! Warning and error tolerances
TOLER(1,1)= 0.01*VALUE(1,1) $ TOLER(1,2)= 0.01*VALUE(1,1)
TOLER(2,1)= 0.01*VALUE(2,1) $ TOLER(2,2)= 0.01*VALUE(2,1) 
TOLER(3,1)= 0.01*VALUE(3,1) $ TOLER(3,2)= 0.01*VALUE(3,1) 

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

Results

Label	Target	CivilFEM	Ratio	Tolerance
VN	129.6	129.6	1.000	1.296
AW	6	6	1.000	0.06
CRT_TOT	0.60014	0.60014	1.000	0.006001

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