EulerBeamFEA {FEA}

EulerBeamFEA

Description

Calculates stress in beam structures using the Euler-Bernoulli beam theory.

Usage

EulerBeamFEA(Y, beamP, beamT, fx, fy, BCtran, BCrot, Length, MoI, RotAng)

Arguments

Y

Elastic modulus value for material (Pa).

beamP

Matrix (2 x n) of beam coordinates.

beamT

Matrix (2 x n) containing the number of the coordinate point as shown in beamP that connect to form a given beam (Discretization table).

fx

Load value (newtons) in the x direction.

fy

Load value (newtons) in the y direction.

BCtran

Boundary constraint for nodes to translate in x or y directions. Input as a non-matrix column.

BCrot

Boundary constraint for nodes to rotate. Input as a non-matrix column.

Length

Length of beam.

MoI

Moment of inertia for each beam segment.

RotAng

Angle of rotation

Value

Calculates local forces and stresses, as well as bending stress for beams following the Euler-Bernoulli beam theory.

Stress

Local stress at node

LocalLoad

Local load at node

BendingStress

Bending Stress

Examples

data(beamGeo)
data(beamDime)

Length = beamDime$Length
MoI = beamDime$MomentofInertia
RotAng = beamDime$Angle

beamFEA = EulerBeamFEA(beamGeo$Y, beamGeo$beamP, beamGeo$beamT, beamGeo$fx, beamGeo$fy,
                       beamGeo$BCtran, beamGeo$BCrot, Length, MoI, RotAng)