Optimal Structural Analysis (RSP)

This second edition of the highly acclaimed and successful first edition, deals primarily with the analysis of structural engineering systems, with applicable methods to other types of structures. The concepts presented in the book are not only relevant to skeletal structures but can equally be used for the analysis of other systems such as hydraulic and electrical networks. The book has been substantially revised to include recent developments and applications of the algebraic graph theory and matroids. Abstract mathematical concepts from graph theory and topology are applied to important problems of computational mechanics. These methods lead to highly sparse, well-conditioned structural matrices of specified patterns This second edition of the highly acclaimed and successful first edition, published in 1997, deals primarily with the analysis of structural engineering systems, with applicable methods to other types of structures. In this chapter, basic definitions, concepts and theorems of structural analysis are presented.