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Program for calculation of a deflection of a uniform loaded square plate using Gauss-Seidel method for solution of Poisson differential equation

Author(s): Lipkovski Jana | Penava Davorin

Journal: Facta Universitatis - series : Architecture and Civil Engineering
ISSN 0354-4605

Volume: 6;
Issue: 2;
Start page: 199;
Date: 2008;
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Keywords: square plate | uniform load | deflection | program | Poisson's equation | Gauss-Seidel method | grid

In this work we will consider a simply supported square plate of side L that is subjected to a load q per unit area. The deflection w in the z-direction is the solution of the Poisson differential equation. For simplicity, we suppose that the loading is uniform so that q is constant. The program is written for computing the deflections w at a set of points with n intervals along each side of the square plate. In this case, we employ a program that uses the Gauss-Seidel method to approximate the solution of Poisson's equation. The program is written for kmax applications through all interior grid points.