Technical Papers
Mar 20, 2014

Uniformly Loaded, Rotationally Restrained Rectangular Plate and Corner Singularities

Publication: Journal of Engineering Mechanics
Volume 140, Issue 9

Abstract

The basic problem of a uniformly loaded rectangular plate with rotationally restrained edges is studied. An efficient, accurate method of eigenfunction superposition is used to determine important design parameters such as maximum deflection, maximum moment, maximum shear, and magnitude of the corner force. As the rotational spring stiffness decreases, oscillatory behavior of the edge shear gradually becomes monotonic. Corner forces exist whenever at least one adjacent edge is not clamped and become maximal when both edges are simply supported.

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References

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 9September 2014

History

Received: Jan 29, 2014
Accepted: Feb 25, 2014
Published online: Mar 20, 2014
Discussion open until: Aug 20, 2014
Published in print: Sep 1, 2014

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Professor, Dept. of Mathematics and Dept. of Mechanical Engineering, Michigan State Univ., East Lansing, MI 48824. E-mail: [email protected]

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