Structural Engineering and Mechanics

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Generalized beam-column finite element on two-parameter elastic foundation

  • Morfidis, K. (Department of Civil Engineering, Division of Structural Engineering, Aristotle University of Thessaloniki) ;
  • Avramidis, I.E. (Department of Civil Engineering, Division of Structural Engineering, Aristotle University of Thessaloniki)
  • Received : 2005.02.03
  • Accepted : 2005.09.07
  • Published : 2005.11.30
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Abstract

A new generalized Bernoulli/Timoshenko beam-column element on a two-parameter elastic foundation is presented herein. This element is based on the exact solution of the differential equation which describes the deflection of the axially loaded beam resting on a two-parameter elastic foundation, and can take into account shear deformations, semi - rigid connections, and rigid offsets. The equations of equilibrium are formulated for the deformed configuration, so as to account for axial force effects. Apart from the stiffness matrix, load vectors for uniform load and non-uniform temperature variation are also formulated. The efficiency and usefulness of the new element in reinforced concrete or steel structures analysis is demonstrated by two examples.

Keywords

References

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  5. In-plane stability of uniform steel beam-columns on a Pasternak foundation with zero end-shortening vol.82, pp.10-11, 2012, https://doi.org/10.1007/s00419-012-0664-y
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