beamStress

Calculates local stress and strain for beam elements

Finite element modeling of beam structures and 2D geometries using constant strain triangles. Applies material properties and boundary conditions (load and constraint) to generate a finite element model. The model produces stress, strain, and nodal displacements; a heat map is available to demonstrate regions where output variables are high or low.  Also provides options for creating a triangular mesh of 2D geometries. Package developed with reference to: Bathe, K. J. (1996). Finite Element Procedures.[ISBN 978-0-9790049-5-7] -- Seshu, P. (2012). Textbook of Finite Element Analysis. [ISBN-978-81-203-2315-5] -- Mustapha, K. B. (2018). Finite Element Computations in Mechanics with R. [ISBN 9781315144474].

Henna Bhramdat

Finite Element Modeling for R

beamStress function

<dl><dt>beamP</dt>
<dd>Matrix (2 x n) of beam coordinates.</dd>
<dt>beamT</dt>
<dd>Matrix (2 x n) containing the number of the coordinate point as shown in beamP that connect to form a given beam (Discretization table).</dd>
<dt>Y</dt>
<dd>Value of Young's (Elastic) modulus</dd>
<dt>Length</dt>
<dd>Length of beam</dd>
<dt>MoI</dt>
<dd>Moment of Inertia</dd>
<dt>RotAng</dt>
<dd>Angle of rotation</dd>
<dt>BND</dt>
<dd>Global nodal displacement matrix, return from function beamNodeDis</dd></dl>

Arguments

beamStress — beamStress

<dl>

<dt>beamP</dt>
<dd>Matrix (2 x n) of beam coordinates.</dd>


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


<dt>Y</dt>
<dd>Value of Young's (Elastic) modulus</dd>


<dt>Length</dt>
<dd>Length of beam</dd>


<dt>MoI</dt>
<dd>Moment of Inertia</dd>


<dt>RotAng</dt>
<dd>Angle of rotation</dd>


<dt>BND</dt>
<dd>Global nodal displacement matrix, return from function beamNodeDis</dd>

</dl>

beamStress: beamStress

Description

Usage

Value

Arguments

Examples