Average response of an infinite plate on a random elastic foundation

1995 ◽  
Vol 97 (5) ◽  
pp. 3415-3415
Author(s):  
Joseph A. Turner ◽  
Richard L. Weaver
Keyword(s):  
Elastic Foundation ◽  
Infinite Plate ◽  
Average Response

Bearing Capacity of a Coulomb Plate on Elastic Foundation

1975 ◽  
Vol 42 (1) ◽  
pp. 121-126 ◽  
Author(s):  
M. M. Mohaghegh ◽  
M. D. Coon
Keyword(s):  
Bearing Capacity ◽  
Elastic Foundation ◽  
Yield Criterion ◽  
Infinite Plate ◽  
Ice Sheets ◽  
Plate Material ◽  
Rigid Plastic ◽  
Plastic Bending ◽  
Coulomb Criterion ◽  
Plate On Elastic Foundation

The bearing capacity of an infinite plate resting on elastic foundation is determined assuming that the plate material is rigid-plastic satisfying the Coulomb yield criterion. The sandwich idealization of the plate is utilized and the Coulomb criterion is developed for this plate. The bearing capacity is determined using the method of limit analysis. The analysis shows that the plastic bending of the Coulomb plate is associated with the development of compressive forces which increase the limit moment and therefore the bearing capacity. An example of applying the analysis results is given by determining the bearing capacity of floating ice sheets.

DEFLECTIONS OF AN INFINITE PLATE

1950 ◽  
Vol 28a (3) ◽  
pp. 293-302 ◽  
Author(s):  
Max Wyman
Keyword(s):  
Elastic Foundation ◽  
Maximum Stress ◽  
Infinite Plate ◽  
Ice Sheets ◽  
Uniform Load ◽  
Circular Area ◽  
Concentrated Load ◽  
Loaded Plate ◽  
Simplifying Assumptions ◽  
Domain Of Validity

Problems associated with the thickness of ice sheets on Canadian lakes led the author to investigate mathematically the deflection of a loaded plate resting upon an elastic foundation. Certain simplifying assumptions, which appear to be not unreasonable, permit the solutions obtained to be applied to the strength of a floating ice sheet. Relations for maximum stress and maximum deflections in terms of known functions are derived, both for a concentrated load and a uniform load distributed over a circular area. The resulting expressions should be tested experimentally to determine their domain of validity. Owing to similarity of conditions, these results may also be applied to the design of concrete roadways and airport runways.

On Some Problems in Bending of Thick Circular Plates on an Elastic Foundation

1956 ◽  
Vol 23 (2) ◽  
pp. 195-200
Author(s):  
Daniel Frederick
Keyword(s):  
Circular Plate ◽  
Elastic Foundation ◽  
Classical Theory ◽  
Infinite Plate ◽  
Circular Inclusion ◽  
Circular Plates ◽  
Axially Symmetric ◽  
Governing Equations ◽  
Uniform Loading ◽  
Rigid Circular Inclusion

Abstract The governing equations and solutions for the nonsymmetrical bending of circular plates resting on an elastic foundation are presented using the theory developed by E. Reissner. Also included are two examples in which numerical comparisons have been made with the predictions of the classical theory. These are (a) the axially symmetric bending of a finite circular plate on an elastic foundation under a partial uniform loading, and (b) the nonsymmetric bending of an infinite plate on an elastic foundation with a rigid circular inclusion.

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