The following fundamental principles and theorems and their applications to matrix In this text the general theory of matrix structural analysis is presented. The matrices representing these properties are considered as building blocks which, when fitted together in accordance with a set of rules derived from the theory of elasticity, provide the static and dynamic properties of the actual structure. The matrix methods are based on the concept of replacing the actual continuous structure by an equivalent model made up from discrete structural elements having known elastic and inertial properties expressible in matrix form. The matrix methods of structural analysis developed for use on modern digital computers, universally accepted in structural design, provide a means for rapidĪnd accurate analysis of complex structures under both static and dynamic loading conditions. Library of Congress Catalog Card Number 67-19151 50904 No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. THEORY OF MATRIX STRUCTURAL ANALYSIS Copyright Q 1968 by McGraw-Hill, Inc. PRZEMIENIECKI PROFESSOR OF MECHANICS AND ASSISTANT DEAN FOR RESEARCH AIR FORCE INSTITUTE OF TECHNOLOGY PRZEMIENIECKI Institute Senior Dean and Dean of Engineering Air Force Institute of Technology
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