Proceedings of the 61st International Conference of Machine Design Departments (ICMD 2020)

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Analytical Solution of Stress Redistribution in Simple Beams

Authors
Eliška Cézová1, *
1Department of Designing and Machine Components, Faculty of Mechanical Engineering, Czech Technical University in Prague, Prague, Czech Republic
*Corresponding author. Email: eliska.cezova@fs.cvut.cz
Corresponding Author
Eliška Cézová
Available Online 30 May 2023.
DOI
10.2991/978-94-6463-182-1_17How to use a DOI?
Keywords
beam; stress; cantilever beam; shear force; bending moment
Abstract

This paper presents a simple way of derivation of analytical solution for the stress (load) redistribution within a simple beam composed of multiple individual profiles. To demonstrate the main ideas a cantilever beam is considered, consisting of finite number of parallel sub-beams. The external load applied to the beam is shared and redistributed among the individual sub-beams depending on their stiffness (flexural rigidity). The procedure of obtaining the shear force and bending moment diagrams for individual sub-beams is explained in detail, leading to analytical formulas for the shearing and bending load for individual sub-beams, allowing for determination of the corresponding stress. To conclude the work, the possible applications and extensions of the presented approach are discussed. This work is a follow-up of our previous study providing the analytical solution for elastic line (i.e. deflection) of this kind of simple beams.

Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the 61st International Conference of Machine Design Departments (ICMD 2020)
Series
Atlantis Highlights in Engineering
Publication Date
30 May 2023
ISBN
978-94-6463-182-1
ISSN
2589-4943
DOI
10.2991/978-94-6463-182-1_17How to use a DOI?
Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Eliška Cézová
PY  - 2023
DA  - 2023/05/30
TI  - Analytical Solution of Stress Redistribution in Simple Beams
BT  - Proceedings of the 61st International Conference of Machine Design Departments (ICMD 2020)
PB  - Atlantis Press
SP  - 148
EP  - 157
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6463-182-1_17
DO  - 10.2991/978-94-6463-182-1_17
ID  - Cézová2023
ER  -