The Elastically Clamped Rectangular Plate With Arbitrary Lateral and Thermal Loading

Abstract

Within the limits of classical thin-plate theory a variety of elementary problems have been solved for the rectangular plate3,4,5 . In particular, the rectangular plate with edges simply supported or clamped has been dealt with at length and the solution to different loading cases given either in the form of a doubly infinite series or a single infinite series. In this paper a rapidly convergent series solution is outlined for the uniformly elastically clamped plate which is subjected to nonuniform lateral and thermal loading. The solution converges in the limit to those corresponding to the simply supported and rigidly clamped plate.