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First published in 1981. Computers are now increasingly used by structural engineers to speed up the lengthy calculations involved in the analysis of structures. This book by an author who has already published a series of similar manuals on ALGOL programs, presents computer methods for the analysis of skeletal structures. The main feature of the book is that it contains five full programs in FORTRAN, ready for use. An introductory text and a range of worked examples show how the programs can be used in practise. In addition to its value in design offices this book will also find a place in college and university departments of civil engineering and computer science as a means to introducing studnets to computer techniques.
Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.
Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.
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.
Matrix Methods of Structural Analysis, 2nd Edition deals with the use of matrix methods as standard tools for solving most non-trivial problems of structural analysis. Emphasis is on skeletal structures and the use of a more general finite element approach. The methods covered have natural links with techniques for automatic redundant selection in elastic analysis. This book is comprised of 11 chapters and begins with an introduction to the concepts and notation of matrix algebra, along with the value of a systematic approach; structure as an assembly of elements; boundaries and nodes; linearity and superposition; and how analytical methods are built up. The discussion then turns to the variables which form the basis of much of structural analysis, as well as the most important relationships between them. Subsequent chapters focus on the elastic properties of single elements; the equilibrium or displacement method; the equilibrium equations of a complete structure; plastic analysis and design; transfer matrices; and the analysis of non-linear structures. The compatibility or force method is also described. The final chapter considers the limits imposed by the size and accuracy of the computer used in structural analysis and how they can be extended. This monograph will be of interest to structural engineers and students of engineering.
This book presents a series of integrated computer programs in Fortran-90 for the dynamic analysis of structures, using the finite element method. Two dimensional continuum structures such as walls are covered along with skeletal structures such as rigid jointed frames and plane grids. Response to general dynamic loading of single degree freedom sy
Matrix analysis of structures is a vital subject to every structural analyst, whether working in aero-astro, civil, or mechanical engineering. It provides a comprehensive approach to the analysis of a wide variety of structural types, and therefore offers a major advantage over traditional metho~ which often differ for each type of structure. The matrix approach also provides an efficient means of describing various steps in the analysis and is easily programmed for digital computers. Use of matrices is natural when performing calculations with a digital computer, because matrices permit large groups of numbers to be manipulated in a simple and effective manner. This book, now in its third edition, was written for both college students and engineers in industry. It serves as a textbook for courses at either the senior or first-year graduate level, and it also provides a permanent reference for practicing engineers. The book explains both the theory and the practical implementation of matrix methods of structural analysis. Emphasis is placed on developing a physical understanding of the theory and the ability to use computer programs for performing structural calculations.
Structural analysis is the corner stone of civil engineering and all students must obtain a thorough understanding of the techniques available to analyse and predict stress in any structure. The new edition of this popular textbook provides the student with a comprehensive introduction to all types of structural and stress analysis, starting from an explanation of the basic principles of statics, normal and shear force and bending moments and torsion. Building on the success of the first edition, new material on structural dynamics and finite element method has been included.Virtually no prior knowledge of structures is assumed and students requiring an accessible and comprehensive insight into stress analysis will find no better book available. - Provides a comprehensive overview of the subject providing an invaluable resource to undergraduate civil engineers and others new to the subject - Includes numerous worked examples and problems to aide in the learning process and develop knowledge and skills - Ideal for classroom and training course usage providing relevant pedagogy
The book describes in great detail the Matrix Methods of Structural Analysis used extensively for the analysis of skeletal or framed structures. The book gives complete coverage to the subject starting from the basics. It is organized in four parts: • Part 1 contains basic knowledge required to understand the subject i.e. Matrix operations, Methods for solving equations and concepts of flexibility matrix and stiffness matrix methods. • Part 2 deals with the applications of stiffness and flexibility matrix methods using system approach. By taking simple examples, the steps involved in both the methods are discussed and it is concluded why stiffness matrix method is more suitable for analysis of skeletal structures. • Part 3 covers the Stiffness matrix (displacement) method with member approach (direct Stiffness method) which is extensively used in the analysis of framed structures. It gives the details of the method, the steps involved in the method and its application to plane truss, space truss, beams, plane and space frames and grids. • Part 4 includes a unified computer program written in FORTRAN/C for the analysis of framed structure. The development of computer program, explanation of various subroutines, input output formats with examples is given in this section. An accompanying CD with the book contains source code, explanation of INPUT/OUTPUT and test examples. Though, the concepts have been presented in quite general form so that the book serves as a learning aid for students with different educational backgrounds as well as the practicing engineers, the primary objective is to present the subject matter in a simple manner so that the book can serve as a basic learning tool for undergraduate and postgraduate students of civil engineering.
It seems particularly appropriate that this pioneering collection of papers should be dedicated to Donald Sholl since those of us who count, measure, and reconstruct elements of the neural en~emble are all very much in his debt. Sholl was certainly not the first to attempt quantification of certain aspects of brain structure. No computers were available to him for the kind of answers he sought, and some of his answers - or rather his interpretations - may not stand the test of time. But we remember him because of the questions he asked and for the reasons he asked them. At a time when the entire family of Golgi techniques was in almost total eclipse, he had the judgment to rely on them. And in a period when the canonical neuron was a perfect sphere (the enormous dendritic superstructure being almost forgotten), he was one of a very few who looked to dendrite extension and pattern as a prime clue to the overall problem of neuronal connectivity.