Bending of Elliptic Plates under a Concentrated Load

Abstract

The accurate solution of bending of a clamped or a simply supported elliptic plate subjected to a concentrated load at the arbitrary point is given in the form of infinite series. The similar method in the previous report⁽¹⁾ by one of the authors is utilized in this paper. The arbitrary constants in the plane biharmonic function are determined by expanding the particular solution expressed by elliptic coordinates into Fourier series. As a numerical example a clamped elliptic plate under a concentrated load at the center is treated.