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Bernoulli Beams

  • Antonio J. M. FerreiraEmail author
  • Nicholas Fantuzzi
Chapter
  • 104 Downloads
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 157)

Abstract

Bernoulli theory is a classical beam theory where the transverse shear deformation is neglected and the deflection of the beam indicated by w is the only degree of freedom of the model and the in-plane rotation si given by the derivative of the transverse deflection with respect to the beam axis. In this chapter we perform the static, vibration and buckling analysis of Bernoulli beams in bending configuration. Results will be compared to analytical and reference results from the literature.

References

  1. 1.
    J.N. Reddy, An introduction to the finite element method, 3rd edn. (McGraw-Hill International Editions, New York, 2005)Google Scholar
  2. 2.
    K.J. Bathe, Finite element procedures in engineering analysis (Prentice Hall, 1982)Google Scholar
  3. 3.
    J.N. Reddy, Energy principles and variational methods in applied mechanics, 3rd edn. (Wiley, Hoboken, NJ, USA, 2017)Google Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Engenharia MecânicaUniversidade do PortoPortoPortugal
  2. 2.DICAM DepartmentUniversity of BolognaBolognaItaly

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