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Computational Mechanics

, Volume 27, Issue 3, pp 199–207 | Cite as

Shear correction factors in Timoshenko's beam theory for arbitrary shaped cross-sections

  • F. Gruttmann
  • W. Wagner

Abstract

 In this paper shear correction factors for arbitrary shaped beam cross-sections are calculated. Based on the equations of linear elasticity and further assumptions for the stress field the boundary value problem and a variational formulation are developed. The shear stresses are obtained from derivatives of the warping function. The developed element formulation can easily be implemented in a standard finite element program. Continuity conditions which occur for multiple connected domains are automatically fulfilled.

Keywords

Shear Stress Variational Formulation Element Formulation Linear Elasticity Beam Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • F. Gruttmann
    • 1
  • W. Wagner
    • 2
  1. 1.Institut für Statik, Technische Universität Darmstadt, Alexanderstraße 7, 64283 Darmstadt, Germany e-mail: gruttmann@statik.tu-darmstadt.deDE
  2. 2.Institut für Baustatik, Universität Karlsruhe (TH), Kaiserstraße 12, 76131 Karlsruhe, GermanyDE

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