<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>An algorithm using the step function Φ(x-a) from the MATHCAD professional calculation program was used to calculate the bending deformations of an elastic beam suspended by means of tie rods (cables). It allowed the writing of analytical relations of shear and bending internal forces in the beam subjected to bending and the drawing of the corresponding diagrams. Also, the algorithm allowed the writing of the analytical relations of the deformations of the beam (arrows and rotations) with the help of the loading function Ψ (x), respectively its derivative Ψd(x). The numerical simulation presented in this paper allowed finding the practical solution for the proposed problem.</p>
</abstract>

An algorithm using the step function Φ(x-a) from the MATHCAD professional calculation program was used to calculate the bending deformations of an elastic beam suspended by means of tie rods (cables). It allowed the writing of analytical relations of shear and bending internal forces in the beam subjected to bending and the drawing of the corresponding diagrams. Also, the algorithm allowed the writing of the analytical relations of the deformations of the beam (arrows and rotations) with the help of the loading function Ψ (x), respectively its derivative Ψd(x). The numerical simulation presented in this paper allowed finding the practical solution for the proposed problem.

The Influence of the Stiffness of a Hyperstatic Elastic Beam on the Internal Forces Diagrams and on the Bending Deformations

Scientific Bulletin of Valahia University - Materials and Mechanics

This work is licensed under the Creative Commons Attribution 4.0 International License.

An algorithm using the step function Φ(x-a) from the MATHCAD professional calculation program was used to calculate the bending deformations of an elastic beam...

The Influence of the Stiffness of a Hyperstatic Elastic Beam on the Internal Forces Diagrams and on the Bending Deformations

Published Online: Dec 11, 2023

Page range: 58 - 63

DOI: https://doi.org/10.2478/bsmm-2023-0020

Keywords
Hyperstatic elastic beam, MATHCAD step function, MATHCAD load function

© 2023 Cornel Marin, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

The Influence of the Stiffness of a Hyperstatic Elastic Beam on the Internal Forces Diagrams and on the Bending Deformations

Published Online: Dec 11, 2023

Page range: 58 - 63

DOI: https://doi.org/10.2478/bsmm-2023-0020

KeywordsHyperstatic elastic beam, MATHCAD step function, MATHCAD load function

© 2023 Cornel Marin, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Hyperstatic elastic beam, MATHCAD step function, MATHCAD load function