Bending of Elliptic Plates under a Concentrated Load

Abstract

We treat the problems of the bending of clamped or simply supported elliptic plates subjected to a concentrated load at an arbitrary point. The rigorous solutions in a form of infinite series in these cases are obtained by means of elliptic coordinates and by expanding the particular solution into Fourier series. Moreover, a clamped elliptic plate under a concentrated load in the center is treated as a numerica1 example.