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Structural Engineering and Mechanics Volume 21, Number 5, November30 2005 , pages 519-537 DOI: https://doi.org/10.12989/sem.2005.21.5.519 |
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Generalized beam-column finite element on two-parameter elastic foundation |
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K. Morfidis and I. E. Avramidis
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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. | ||
| Key Words | ||
| finite element method; second order analysis; beam on elastic foundation; two-parameter elastic foundation; semi-rigid connections. | ||
| Address | ||
| Dept. of Civil Engineering, Division of Structural Engineering, Aristotle Univ. ofThessaloniki, 540 06 Thessaloniki, Greece | ||