Designed as a textbook for the undergraduate students of civil engineering and postgraduate students of structural engineering, this comprehensive book presents the fundamental aspects of matrix analysis of structures. The basic features of Matrix Structural Analysis along with its intricacies in application to actual problems backed up by numerical examples, form the main objective of writing this book. The text begins with the chapters on basics of matrices and structural systems. After providing the foundation for matrix structural representation, the text moves onto dimensional and behavioral aspects of structural systems to classify into pin-jointed systems, then onto beams and finally three-dimensional rigid jointed systems. The text concludes with a chapter on special techniques in using matrices for structural analysis. Besides, MATLAB codes are given at the end to illustrate interfacing with standard computing tool. A large number of numerical examples are given in each chapter which will reinforce the understanding of the subject matter.

Frame structures with either pinned or fixed joints are frequently used in aerospace applications as the primary structure supporting light secondary panels or other structural assemblies. In the analysis of such structural designs it is very often necessary to consider loading conditions for which the deflections are large enough to cause significant changes in the geometry of the structure so that the equations of equilibrium must be formulated for the deformed configuration. In the present paper the general analysis for large deflections of frame structures is presented using the concept of discrete element idealization. The solution for deflections and stresses is presented as a step-by-step matrix method based on load increments and is particularly suitable for computer programming. As a bi-product of the large deflection analysis the eigenvalue equations for structural stability are also formulated. The theoretical results of the nonlinear, large deflection matrix solution are compared with the exact analytical results for a square frame. In addition, the results for deflections of a six-bay truss and buckling of columns with either constant axial load or gravity loading are also presented. The computer program listing and instructions for the preparation of input data are included.

Matrix Methods of Structural Analysis presents how concepts and notations of matrix algebra can be applied to arriving at general systematic approach to structure analysis. The book describes the use of matrix notation in structural analysis as being theoretically both compact and precise, but also, quite general. The text also presents, from the practical point of view, matrix notation as providing a systematic approach to the analysis of structures related to computer programming. Matrix algebraic methods are useful in repeated calculations where manual work becomes tedious. The Gaus-Seidel method and linear programming are two methods to use in solving simultaneous equations. The book then describes the notation for loads and displacements, on sign conventions, stiffness and flexibility matrices, and equilibrium and compatibility conditions. The text discusses the formulation of the equilibrium method using connection matrices and an alternative method. The book evaluates the compatibility method as programmed in a computer; and it discusses the analysis of a pin-jointed truss and of a rigid-jointed truss. The book presents some problems when using computers for analyzing structures, such as decision strategy, accuracy, and checks conducted on handling large matrices. The text also analyzes structures that behave in a non-linear manner. The book is suitable for structural engineers, physicist, civil engineers, and students of architectural design.

This classic text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover basic equations of elasticity, energy theorems, structural idealization, a comparison of force and displacement methods, analysis of substructures, structural synthesis, nonlinear structural analysis, and other topics. 1968 edition.