Square Plates Fixed at Points

Abstract

Abstract Deflection functions for thin plates with symmetric loads are given as a sum of biharmonic polynominals with coefficients determined by the slopes and deflections at five equally spaced points on each edge of the plate. The coefficients are given numerically for a point load and a uniform load, for zero slope and deflection at the five points, for the tangential slope at two of the five points not specified, for a particular slope, and for a particular deflection at the mid-points of the edges. Deflections are plotted at the edges, the center line, and the diagonal. Slopes are plotted at the edges. Moments and stresses are given at the mid-point of the edges.