Bending of an annular plate in the presence of a concentrated, in-plane edge load

Abstract

Bending behaviour of an annular plate with clamped inner boundary and a concentrated edge load at the outer boundary is studied using the semi-analytical finite element method. The annular plate elements developed by Pardoen are used for this purpose. Exact in-plane stress field is obtained for various harmonics. Geometric stiffness matrices are developed which are general and can handle any in-plane stress field once its Fourier expansion is known. Results are presented for two radii ratios and for chosen values of the in-plane load.