Solution of a lateral buckling problem with torsion of a beam using Bessel's equations

Authors

  • dos Santos, J. M. Universidade Federal do Recôncavo da Bahia
  • do Nascimento, P. H. R. Universidade Federal do Recôncavo da Bahia

Keywords:

Bessel ODE, Buckling, Torsion, Beam

Abstract

In this article, we will address lateral torsional buckling (LTB), a problem characterized by the combination of bending and torsional stresses. Such a phenomenon may constitute an ultimate limit state related to stability. Its modeling was done considering these efforts, through a Riccati ODE that could be transformed into a Bessel ODE and whose result found represents the maximum critical load that a cantilever beam can support, without lateral buckling with torsion.

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Author Biographies

dos Santos, J. M., Universidade Federal do Recôncavo da Bahia

Graduando no curso de Bacharelado em Ciências Exatas e Tecnológicas pela Universidade Federal do Recôncavo da Bahia (UFRB), Brasil.

do Nascimento, P. H. R., Universidade Federal do Recôncavo da Bahia

Licenciado em Matemática pela Universidade Católica do Salvador (UCSal) e Mestre em Matemática pela Universidade Federal da Bahia (UFRB). Filiação: Centro de Ciências Exatas e Tecnológicas (CETEC)/ Universidade Federal do Recôncavo da Bahia (UFRB), Brasil.

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Published

2023-04-25

How to Cite

Monteiro dos Santos, J., & Ribeiro do Nascimento, P. H. (2023). Solution of a lateral buckling problem with torsion of a beam using Bessel’s equations. Electronic Journal of Exact and Technological Sciences, 4(1). Retrieved from https://www3.ufrb.edu.br/index.php/recet/article/view/3094

Issue

Vol. 4 No. 1 (2023): RECET

Section

Applied Mathematic

Categories

License

Copyright (c) 2023 Electronic Journal of Exact and Technological Sciences

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