ANALYTICAL SOLUTIONS FOR BENDING OF CLAMPED ORTHOTROPIC RECTANGULAR PLATES UNDER A CONCENTRATED FORCE

For a clamped orthotropic rectangular plate, the bending deflection due to a concentrated force can be treated as the superposition of deflections of simply supported plate under three load cases, a concentrated force, moments along two opposite edges and moments along the other two opposite edges. The solution satisfies the boundary conditions of the clamped plate. Matlab program is developed for calculating the deflections of four plates with different thickness and concentrated force positions. The analytical solutions are compared with Finite Element Method results, demonstrating the accuracy of the proposed solution. Finally, the reasonability of Kirchhoff plate assumptions is discussed through the case of clamped plate under a concentrated force.