Mathematical Formulation in Bending of Rectangular Thin Plates
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Abstract
The main purpose of this paper is to review the fundamental feature of mathematical formulations involved the theory of thin elastic rectangular plates. All of the necessary equations are analytically given in terms of only one variable; namely the deflection of plate, which are the fourth-order partial differential equation governing the plate-bending behaviors, plate deformations (deflection, slope and curvature), and stress resultants of the plate. In order to obtain these equations, certain assumptions will be stated and referred to when related to any portion of the mathematical formulations and classical boundary support conditions. Therefore, a full description of the boundary conditions is also given. In addition, two classical well-known analytical solution approaches are presented in details for solving some basic problems of uniformly loaded rectangular plates.
Article Details
Copyright @2021 Engineering Transactions
Faculty of Engineering and Technology
Mahanakorn University of Technology
References
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