Timoshenko Beam Element Resting on Two‐Parameter Elastic Foundation
Publication: Journal of Engineering Mechanics
Volume 118, Issue 2
Abstract
The objective of this paper is to present the complete force‐displacement relationship for a Timoshenko beam element resting on a two‐parameter elastic foundation. Both the stiffness matrix and nodal‐action column‐vector coefficients are derived from the transport matrix based on the exact solution of two differential equations governing the problem concerned herein. Explicit expressions for the element stiffness matrix and the nodal‐action column vectors are presented. Finally, a parametric study is carried out in the form of numerical examples and influence lines.
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References
1.
Bhatt, P. (1986). Programming the matrix analysis of skeletal structures. Ellis Horwood Limited.
2.
Fletcher, P. Q., and Hermann, L. R. (1971). “Elastic foundations representations of continuum.” J. Engrg. Mech. Div., ASCE, 97(1), 95–107.
3.
Giger, M. W., and Shirima, L. M. ( ). “Transport matrices for Euler Kirchoff and Timoshenko beam elements resting on one and two‐parameter elastic foundations.” UHANDISI J.
4.
Hetenyi, M. (1946). Beams on elastic foundation, Univ. of Michigan Press, Ann Arbor, Mich.
5.
Miranda, C., and Nair, K. (1964). “Finite beams on elastic foundation.” J. Struct. Div., ASCE, 92(2).
6.
Nogami, T., and Oneill, M. W. (1985). “Beam on generalized two‐parameter foundation.” J. Engrg. Mech., ASCE, 111(5).
7.
Paz, M. (1985). Structural dynamics; Theory and computations. McGraw‐Hill Inc., New York, N.Y.
8.
Richards, T. H. (1977). Energy methods in stress analysis. Ellis Horwood Limited.
9.
Scott, R. F. (1981). Foundation analysis. Prentice Hall, Englewood Cliffs, N.J.
10.
Selvadurai, A. P. S. (1979). Elastic analysis of soil‐foundation interaction. Elsevier Sci. Publishing Co.
11.
Shirima, L. M. (1990). “Structures composed of Timoshenko beams resting on two parameter elastic foundation,” thesis presented to the Univ. of Dar es Salaam, at Tanzania, in partial fulfillment of the requirements for the degree of Master of Science.
12.
Ting, B. Y. (1982). “Finite beams on elastic foundation with restraints.” J. Struct. Div., ASCE, 108(3).
13.
Ting, B. Y., and Mockry, E. F. (1984). “Beam on elastic foundation finite element.” J. Struct. Div., ASCE, 110(10).
14.
Wang, C. K. (1986). Intermediate Structural Analysis. McGraw‐Hill Book Co., New York, N.Y.
15.
Zhaohua, F., and Cook, R. D. (1985). “Beam elements on two parameter elastic foundation.” J. Struct. Mech., ASCE, 109(6).
16.
Zienkiewiecz, O. C. (1971). The finite element method in engineering science. McGraw‐Hill, New York, N.Y.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 2 • February 1992
Pages: 280 - 295
Copyright
Copyright © 1992 ASCE.
History
Published online: Feb 1, 1992
Published in print: Feb 1992
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