Upper-Bound Solutions for Rigid-Plastic Plates and Slabs on Elastic Foundation by the Principle of Stationary Total Energy
Publication: Journal of Structural Engineering
Volume 133, Issue 2
Abstract
This note discusses applications of the well-known principle of stationary total energy as an effective approach for upper-bound solutions of bending problems for plate and slabs on elastic foundation. Material is assumed to be perfectly rigid plastic. The presented solutions demonstrate that this approach is similar to that in upper-bound solutions of limit analysis. For this purpose several simple problems are considered for plates of different forms with different support conditions. The obtained solutions show transformations of the form of deflections when the external load increases.
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References
Augusti, G. (1970). “Mode approximations for rigid-plastic structures supported by an elastic medium.” Int. J. Solids Struct., 6(6), 809–827.
Belenkiy, L. M. (2005). Handbook on plastic analysis in engineering, Backbone, Fairlawn, N.J.
Chen, W. F., and Han, D. J. (1988). Plasticity for structural engineers, Springer, Berlin.
Meyerhof, G. G. (1962). “Load-carrying capacity of concrete pavements.” J. Soil Mech. and Found. Div., 88(SM3), 89–116.
Novozhilov, V. V. (1961). Theory of elasticity, Pergamon, London.
Sinitzin, A. P. (1964). Design of beams and plates on elastic foundation beyond elastic-limit stress, Stroyisdat, Moscow (in Russian).
Wood, R. H. (1961). Plastic and elastic design of slabs and plates, Thames and Hudson, London.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 133 • Issue 2 • February 2007
Pages: 305 - 307
Copyright
© 2007 ASCE.
History
Received: May 2, 2005
Accepted: May 15, 2006
Published online: Feb 1, 2007
Published in print: Feb 2007
Notes
Note. Associate Editor: M. Asghar Bhatti
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