Abstract: This paper suggests the use of discrete least square method, one of the methods of weighted residuals, to analyse the elasto-plastic solution of a cylindrical shallow shell. The method presented in this paper may be uso-plastic solution of a cylindrical shallpw .shell, shallow shells with more complex loadings and boundary conditions.The use of the weighted residual method has specific advantages: simplicity; accuracy, quickness, less work and cost, very suitable to be used in micro computers in practice.