Abstract
A nodal line finite difference bending analysis of isotropic rectangular plates with free lateral boundary conditions. Using the nodal line finite difference method, is presented. The analysis describes the linear elastic behavior of rectangular plates resting on a winkler type ipundation and loaded on its upper surface with arbitrary transverse loads. A basic function fits one of the boundary conditions of two opposite free ends is used to express the displacement unration along the nodal lines. To satisfy the other condition of the two opposite free ends, edge moments equal in magnitude but opposite in direction were applied at the ends of the nodal lines. Numerical results were obtained and compared with those obtained from another numerical solution. The comparison demonstrated a good agreement and indicated the validity of the presented technique.
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