Program for calculation of a deflection of a uniform loaded square plate using Gauss-Seidel method for solution of Poisson differential equationAuthor(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;
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.