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

Abstract

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.

Keywords

• square plate
• uniform load
• deflection
• program
• Poisson's equation
• Gauss-Seidel method
• grid