Análise das teorias de viga de Bernoulli e Timoshenko para vigas em diferentes condições de contorno

T. C. Silva

doi:10.21814/ecum.4491

Authors

T. C. Silva Universidade Federal Fluminense, Departamento de Engenharia Civil Rio de Janeiro, Brasil https://orcid.org/0000-0002-3942-9723

DOI:

https://doi.org/10.21814/ecum.4491

Abstract

In this article, the structural behavior of beams is analyzed using the beam theories of Bernoulli and Timoshenko, changing the relationship between the span and the height of the cross section and varying the boundary condition of the structural element. The geometry of the structural elements analyzed were beams of rectangular section, it could be seen that for isostatic beams the effect of distortion due to shear (Timoshenko's theory) has little influence on the increase of displacements, in continuous beams this effect has a greater contribution, while for fixed ends beams this effect contributes significantly to the increase of displacements in the structure. Limit relationships of span size and cross-section height as a function of the boundary condition were proposed for the consideration of shear distortion.

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