The Galerkin method for static analysis of simply supported plates of general shape

A theoretical formulation for the static analysis of arbitrary quadrilateral shaped plates is presented. The procedure is based on the Galerkin method and uses the natural coordinates to express the geometry of general plates in a simple form. This approach is easily adaptable for analysis of triang...

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Bibliographic Details
Published inComputers & structures Vol. 69; no. 1; pp. 1 - 9
Main Authors Saadatpour, M.M., Azhari, M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.1998
Subjects
Galerkin method
Simply supported plates
Static analysis
Galerkin method
Simply supported plates
Static analysis
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Summary:A theoretical formulation for the static analysis of arbitrary quadrilateral shaped plates is presented. The procedure is based on the Galerkin method and uses the natural coordinates to express the geometry of general plates in a simple form. This approach is easily adaptable for analysis of triangular plates. The method is programmed and several plate examples are solved to illustrate the accuracy and validity of the method. Deflection and bending moments of trapezoidal, parallelogram, triangular, and sector plates under static loads are obtained and the results, where possible, are verified with those published elsewhere.
ISSN:0045-7949
1879-2243
DOI:10.1016/S0045-7949(98)00073-X