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


 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.


Shear Stress Variational Formulation Element Formulation Linear Elasticity Beam Theory 
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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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