Abstract
The method of point matching is used to solve three problems for the bending of a plate having circular holes. The first two problems consist of a uniformly loaded square plate either simply supported or clamped along the outer boundary. Free edge boundary conditions are satisfied exactly along the internal hole and the conditions along the outside contour are satisfied by point matching in the least squares sense. Deflection and bending moment curves along the hole and along the outer edges are presented for various ratios of hole diameter to size of plate. Results for the case when the outer edges are simply supported can be compared with the less extensive results ofDedic. The last problem solved is that of an infinite plate having equally spaced circular holes. The plate is loaded by its own weight and supported at points equidistant from the hole centers. Three different approaches to the problem are used, all satisfying the boundary conditions by point matching. Results for deflections and bending moments for various hole diameters are presented.
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