关键词: degenerate scale, conformal mapping technique, shape of triangle or quadrilateral, antiplane elasticity

Abstract: An exact solution is given for the bending of uniformly loaded rectangular cantilever plates by using the idea of generalized simply supported edge together with the method of superposition. As illustrative examples, a square plate and a rectangular plate with the ratio of the clamped edge to the neighbouring free edge equal to two are solved numerically. The results are compared with those obtained from approximate methods to confirm the validity of the method presented.

Key words: degenerate scale, conformal mapping technique, shape of triangle or quadrilateral, antiplane elasticity