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Finite Element of Beams

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 216))

Abstract

The finite element derivations for a base element of beams and bars under different types of behaviors are discussed in this chapter. The static lateral defection and axial, torsional, and lateral vibrations of beams and bars are studied and the members of mass, stiffness, and force matrices are derived. The chapter concludes with a discussion of the Timoshenko beam and the derivations of the element matrices.

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References

  1. Wang CT (1953) Applied elasticity. McGraw-Hill Book Co, New York

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Correspondence to M. Reza Eslami .

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© 2014 Springer International Publishing Switzerland

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Eslami, M.R. (2014). Finite Element of Beams. In: Finite Elements Methods in Mechanics. Solid Mechanics and Its Applications, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-08037-6_8

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  • DOI: https://doi.org/10.1007/978-3-319-08037-6_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08036-9

  • Online ISBN: 978-3-319-08037-6

  • eBook Packages: EngineeringEngineering (R0)

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