Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis

Author: Praveen Nagarajan

Publisher: CRC Press

Published: 2018-09-03

Total Pages: 452

ISBN-13: 1351210300

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This book deals with matrix methods of structural analysis for linearly elastic framed structures. It starts with background of matrix analysis of structures followed by procedure to develop force-displacement relation for a given structure using flexibility and stiffness coefficients. The remaining text deals with the analysis of framed structures using flexibility, stiffness and direct stiffness methods. Simple programs using MATLAB for the analysis of structures are included in the appendix. Key Features Explores matrix methods of structural analysis for linearly elastic framed structures Introduces key concepts in the development of stiffness and flexibility matrices Discusses concepts like action and redundant coordinates (in flexibility method) and active and restrained coordinates (in stiffness method) Helps reader understand the background behind the structural analysis programs Contains solved examples and MATLAB codes


Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis

Author: R. K. Livesley

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 290

ISBN-13: 1483148912

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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.


Matrix Methods for Advanced Structural Analysis

Matrix Methods for Advanced Structural Analysis

Author: Manolis Papadrakakis

Publisher: Butterworth-Heinemann

Published: 2017-11-13

Total Pages: 468

ISBN-13: 0128118822

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Divided into 12 chapters, Matrix Methods for Advanced Structural Analysis begins with an introduction to the analysis of structures (fundamental concepts and basic steps of structural analysis, primary structural members and their modeling, brief historical overview of methods of static analysis, programming principles, and suggestions for the rational use of computer programs). This is followed by the principal steps of the Direct Stiffness Method including plane trusses, plane framed structures, space trusses, and space framed structures. The case of plane or space framed structure, including possible rigid elements at their beam ends (rigid joints) is discussed in detail. Other topics discussed in this reference include the procedure for analyzing beams with internal releases (partial connection of beam elements) and elastic hinges, as well as the alternative handling of internal releases by modifying the element stiffness matrix. Furthermore, the Method of Substructures is demonstrated for the solution of large-scale models in terms of the associated number of degrees of freedom. - The principal steps of the Direct Stiffness Method are presented for plane and space trusses, as well as plane and space framed structures - The handling of beams with internal releases and elastic hinges - The method of substructures for large-scale structures - A computer code (basic steps and source files) based on MATLAB® software for the analysis of beam-like structures


MATRIX METHODS OF STRUCTURAL ANALYSIS

MATRIX METHODS OF STRUCTURAL ANALYSIS

Author: C. NATARAJAN

Publisher: PHI Learning Pvt. Ltd.

Published: 2014-01-20

Total Pages: 490

ISBN-13: 8120349008

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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.


Matrix Structural Analysis

Matrix Structural Analysis

Author: William McGuire

Publisher: Wiley

Published: 1999-07-30

Total Pages: 480

ISBN-13: 9780471129189

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Entire book and illustrative examples have been edited extensively, and several chapters repositioned. * Imperial units are used instead of SI units in many of the examples and problems, particularly those of a nonlinear nature that have strong implications for design, since the SI system has not been fully assimilated in practice.


Matrix Structural Analysis

Matrix Structural Analysis

Author: Jamal J. Azar

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 232

ISBN-13: 1483148068

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Matrix Structural Analysis focuses on the theory and practical application of matrix structural analysis. Organized into seven chapters, this book first describes the matrix algebra and the fundamental structural concepts and principles which are directly related to the development of the matrix methods. Subsequent chapters present the theory and application of the direct stiffness matrix method and matrix force method to structural analysis. The element stiffness matrices of lifting surface type structures and the general theory of analysis by structural partitioning are also presented. This book will be useful for students and practicing engineer as a quick reference material in this field of interest.


Theory of Matrix Structural Analysis

Theory of Matrix Structural Analysis

Author: J. S. Przemieniecki

Publisher: Courier Corporation

Published: 1985-01-01

Total Pages: 502

ISBN-13: 9780486649481

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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.


Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis

Author: S. S. Bhavikatti

Publisher:

Published: 2011-08

Total Pages: 0

ISBN-13: 9789381141359

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Preliminary chapters are supposed to give suitable transition from structural analysis – classical methods studied by students in their compulsory courses. Then structure approach to matrix method is dealt so that the students get clear picture of matrix approach. Finally, stiffness matrix method – element approach is explained and illustrated so that before developing computer program student will understand what to instruct computer. Finally, a chapter an computer programming preliminaries which will help to develop the computer program and cautious the way of program develop by the others is included.


Matrix Analysis Framed Structures

Matrix Analysis Framed Structures

Author: William Weaver

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 557

ISBN-13: 1468474871

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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.