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 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.
galerkin method static analysis simply supported plates