Stress analysis of skew plates by boundary element method

Abstract

The boundary element method has been developed in this paper to calculate the deflections and stress resultants of uniformly loaded skewed plates with arbitrary supports along the boundary. The direct formulation which makes use of Betti’s reciprocal theorem based on energy consideration is employed to obtain the integral equations. Thereafter, a numerical scheme for computation is used to calculate the resulting integral equations approximately by simple discretization of the boundary functions into a series of elements which are assumed to be constant on each element (constant element). Some numerical results are given in illustrative curves which are found to be in excellent agreement with those of the finite element mehod and the results quoted by Timoshenko (7). The tables of the solutions for various cases with practical accuracy are also included in the appendix.