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Timoshenko Beams and Frames

  • Andreas ÖchsnerEmail author
  • Resam Makvandi
Chapter
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Abstract

This chapter briefly introduces to the theory of single Timoshenko beam elements and their arrangements as plane frame structures. Furthermore, a combination of Timoshenko beam and rod element is introduced as a generalized beam and frame element. Comments on the computer implementation of the corresponding Maxima modules are provided. The chapter concludes with detailed Maxima examples which allow an easy transfer to other problems.

References

  1. 1.
    Cowper GR (1966) The shear coefficient in Timoshenko’s beam theory. J Appl Mech 33:335–340CrossRefGoogle Scholar
  2. 2.
    Öchsner A, Merkel M (2013) One-dimensional finite elements: an introduction to the FE method. Springer, BerlinCrossRefGoogle Scholar
  3. 3.
    Öchsner A (2016) Computational statics and dynamics - an introduction based on the finite element method. Springer, SingaporeCrossRefGoogle Scholar

Copyright information

© The Author(s), under exclusive license to Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingen am NeckarGermany
  2. 2.Institute of MechanicsOtto von Guericke University MagdeburgMagdeburgGermany

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