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Title: Elastic plates with simply supported straight boundaries, resting on a liquid foundation
Authors: University of Denver
New York University. Institute of Mathematical Sciences
Kerr, Arnold D.
Keywords: Elasticity
Elastic shells
Elastic plates
Floating ice
Mathematical models
Mathematical analysis
Ice cover strength
Ice strength
Flexural strength
Ice mechanics
Shear properties
Publisher: U.S. Army Snow, Ice, and Permafrost Research Establishment.
Engineer Research and Development Center (U.S.)
Series/Report no.: Research report (U.S. Army Snow
Description: Research Report
Summary: The deflection expression of an infinite plate subjected to a concentrated force is used with the "method of images" to obtain solutions for 6 plates with simply supported edges. The semi-infinite plate, the wedge-shaped plate, and its special case, the rectangular corner plate, are solved in closed form; and the infinite strip, the semi-infinite strip, and the rectangular plate are solved as rapidly convergent series. Behavior under a concentrated force is studied in more detail for the semi-infinite plate and the rectangular corner plate. Relationships for obtaining bending moments, shear forces and reaction distributions as well as derivatives of the kei-function with respect to 𝗋 and 𝛳 are given in the appendices.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Research Report

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