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

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

By: Cornel Marin  
Open Access
|Dec 2023

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.

DOI: https://doi.org/10.2478/bsmm-2023-0020 | Journal eISSN: 2537-3161 | Journal ISSN: 1844-1076
Language: English
Page range: 58 - 63
Published on: Dec 11, 2023
Published by: Valahia University of Targoviste
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2023 Cornel Marin, published by Valahia University of Targoviste
This work is licensed under the Creative Commons Attribution 4.0 License.