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Timoshenko Beams

In: Computational Statics and Dynamics

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  • Andreas Öchsner

    (Esslingen University of Applied Sciences)

Abstract

This chapter starts with the analytical description of beam members under the additional influence of shear stresses. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law and the equilibrium equation, the partial differential equations, which describe the physical problem, are derived. The weighted residual method is then used to derive the principal finite element equation for Timoshenko beam elements. In addition to linear interpolation functions, a general concept for arbitrary polynomials of interpolation functions is introduced.

Suggested Citation

  • Andreas Öchsner, 2023. "Timoshenko Beams," Springer Books, in: Computational Statics and Dynamics, edition 3, chapter 0, pages 227-295, Springer.
  • Handle: RePEc:spr:sprchp:978-3-031-09673-0_4
    DOI: 10.1007/978-3-031-09673-0_4
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