Strength of Materials and Structures Fourth edition
JOHN CASE M.A., F.R.Ae.S. Formerly Head of the Department of Applied Mechanics, Royal Naval Engineering College, Plymouth
LORD CHILVER of Cranfield M.A., D.Sc., F.Eng., F.R.S. Formerly Vice Chancellor, Cranjield Institute of Technologv, and Professor of Civil Engineering, University College, London
CARL T.F. ROSS B.S.C.,Ph.D., D.Sc., C. Eng., F.R.I.N.A., M.S.N.A.M.E. Professor of Structural Dynamics, University of Portsmouth, Portsmouth
A member of the Hodder Headline Group LONDON SYDNEY AUCKLAND Co-published in North, Central and South America by John Wiley & Sons Inc., New York Toronto
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First published in Great Britain in 1959 as Strength of Materials Reprinted 1961, 1964 Second edition 197 1 Reprinted 1985, 1986 Third edition 1993 Reprinted 1992, 1994, 1995, 1997, 1998 Fourth edition published in 1999 by Arnold, a member of the Hodder Headline Group, 338 Euston Road, London NWl 3BH
http://www.arnoldpublishers.com Co-published in North, Central and South America by John Wiley & Sons Inc., 605 Third Avenue, New York,NY 10158-0012 0 1999 John Case, A.H. Chilver and Carl T.F. Ross
All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronically or mechanically, including photocopying, recording or any information storage or retrieval system, without either prior permission in writing from the publisher or a licence permitting restricted copying. In the United Kingdom such licences are issued by the Copyright Licensing Agency: 90 Tottenham Court Road, London W l P 9HE. Whilst the advice and information in this book are believed to be true and accurate at the date of going to press, neither the authors nor the publisher can accept any legal responsibility or liability for any errors or omissions that may be made. British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Cataloging-in-PublicationData A catalog record for this book is available from the Library of Congress ISBN 0 340 71920 6 ISBN 0 470 37980 4 (Wiley) 1 2 3 4 5 6 7 8 9 10 Commissioning Editor: Matthew Flynn Cover Designer: Terry Griffiths Printed and bound in Great Britain by J.W. Arrowsmith Ltd, Bristol What do you think about this book? Or any other Arnold title? Please send your comments to
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Acknowledgements
I would like to thank my wge, Anne, and my children, Nicolette and Jonathan, who have
suffered my nebulous number-crunching world of eigenvalue economisers and matrix manipulators over many years. My thanks are extended to Mrs. Joanna Russell and Mrs. Helen Facey for the considerable