Thin Rectangular Plates on Elastic Foundation

The deflection of a thin rectangular plate on an elastic foundation is given for the case in which two opposite edges have arbitrary but given deflections and moments. Six important cases of boundary conditions on the remaining two edges are treated. The solution is given for general transverse load...

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Bibliographic Details
Published in:Journal of applied mechanics 1952-09, Vol.19 (3), p.361-368
Main Authors: Fletcher, H. J, Thorne, C. J
Format: Article
Language:English
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Summary:The deflection of a thin rectangular plate on an elastic foundation is given for the case in which two opposite edges have arbitrary but given deflections and moments. Six important cases of boundary conditions on the remaining two edges are treated. The solution is given for general transverse loads which are continuous in one direction and sectionally continuous in the other. By use of the sine transform the solution is obtained as a single trigonometric series. Numerical solutions are obtained for six special cases.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.4010512