Bending Analysis of Simply Supported Shear Deformable Skew Plates

Abstract

This paper presents the bending analysis of a simply supported, thick skew plate based on the first-order shear deformation Reissner/Mindlin theory. Using the geometric transformation, the governing differential equations and boundary conditions of the plate are first transformed from the physical domain into a unit square computational domain. A set of linear algebraic equations is then derived from the transformed differential equations via a numerical technique, the differential quadrature method (DQM), and the approximate solutions of the problem are obtained by solving the set of algebraic equations. The applicability, accuracy, and convergent properties of DQM for the bending analysis of simply supported skew plates are carefully examined for various skew angles and various relative plate thickness. In this paper, the central deflections and moments of the plate are presented for different thickness-to-span ratios, and skew angles for future references.