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

Authors

  • dos Santos, J. M. Federal University of Recôncavo da Bahia image/svg+xml
  • do Nascimento, P. H. R. Federal University of Recôncavo da Bahia image/svg+xml

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., Federal University of 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., Federal University of 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

Issue

Vol. 4 No. 1 (2023): RECET

Section

Applied Mathematic

Categories

License

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How to Cite

Solution of a lateral buckling problem with torsion of a beam using Bessel’s equations. Electronic Journal of Exact and Technological Sciences, v. 4, n. 1, 25 Apr.2023.

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