Bending Solutions of Fully Clamped Orthotropic Rectangular Thin Plate Using Finite Integral Transform Method

Abstract

Plate as an engineering material is used widely in several areas of Engineering work, especially civil engineering structures as slab. This research work presents the solutions to the bending of orthotropic thin rectangular plates, fully clamped at all edges and subjected to three different loading conditions such as uniformly distributed load, centrally loaded concentrated point load and hydrostatic pressure, using the finite integral transform method. The results derived from this study are tabulated so as to demonstrate the accuracy and validity of the procedure, and in turn compared with other studies so as to ascertain if they are in agreement. A deflection value of 0.00126 was obtained for clamped Isotropic rectangular thin plate with aspect ratio of 1.0 under uniform loading condition, which agrees with the value obtained in previous research. A value of 0.00563 was obtained for clamped Isotropic plate with aspect ratio of 1.0 under centrally loaded concentrated, while a value of 0.000081 was obtained for clamped Isotropic plate with aspect ratio of 1.0 under hydrostatic pressure load, which all agree with the values of 0.00560 and 0.00008 respectively obtained in previous research. Having validated this research method, it was then applied to orthotropic plate and deflection values of 0.00052, 0.00235 and 0.000259 were obtained under uniform load, concentrated load and hydrostatic load respectively having aspect ratio of 1.0. This means that unlike the conventional process of analysis in some literatures, it presents an accurately rational model in plate analysis. This research method can also be utilized extensively to solve various degree of thickness and load configuration on plates, as the procedure seems quiet simpler than most conventional methods of analysis.