ملخص
Abstract
Structural analysis is the mathematical calculation of forces, stresses, and deflections within structures, either as part of the design of those structures or as a tool in understanding the performance of existing structures. There are two broad classes of analysis: classical methods and matrix methods. The distinction is based on theory: classical methods were developed to analyze particular types of simple structures and provide answers by means of analytical formulation; matrix methods which are more general and systematic so that they can be conveniently handle structures of any size and complexity, and are computer-oriented using matrix computations. Both approaches, however, are based on the same three fundamental relations: equilibrium, constitutive, and compatibility. The solutions are approximate when any of these relations are only approximately satisfied. Finite element analysis, which originated as an extension of matrix analysis to surface structures (e.g., plates and shells), has now developed to the extent that it can be applied to structures and solids of practically any shape or form. The application of these methods usually requires an understanding on the part of the analyst of the structural analysis principals. The objective of this thesis is to give comparative study of the methods applied in the structural analysis: Classical, Matrix, and Finite-Element.