Three versions of Galerkin's method applied to the static deflection of a stepped beam

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Authors

  • Joel Storch \(^1\) California State University, Northridge CA 91330, USA https://orcid.org/0000-0002-9660-476X
  • Marco Amato \(^2\) University of Trento, via Mesiano 77, I-38123 Trento, Italy https://orcid.org/0000-0003-3764-3889
  • Isaac Elishakoff \(^3\) Florida Atlantic University, Boca Raton, FL, 33431-0991, USA

DOI:

https://doi.org/10.15625/0866-7136/20647

Keywords:

stepped beams, Galerkin’s method, generalized functions

Abstract

This work deals with the application of Galerkin's method for stepped structures to evaluate the static deflection under distributed loading. In this study, we compare two different implementations of the well-known method to the exact analytical result in order to prove that only the second method is able to give a good approximation to the solution of the problem.

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References

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Published

29-06-2024

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