Advanced Structural Mechanics

Advanced structural mechanics 1 Delivered by ICEVirtualLibrary.com to: IP: 90.154.135.210 On: Sat, 31 Jul 2010 09:08:24 Advanced structural mechanics An introduction to continuum mechanics and structural mechanics David Johnson Principal Lecturer in Structural Engineering Nottingham Trent University Thomas Telford 3 Delivered by ICEVirtualLibrary.com to: IP: 90.154.135.210 On: Sat, 31 Jul 2010 09:08:24 Published by Thomas Telford Publishing, Thomas Telford Ltd, 1 Heron Quay, London E14 4JD. URL: http://www.t-telford.co.uk Distributors for Thomas Telford books are USA: ASCE Press, 1801 Alexander Bell Drive, Reston, VA 20191-4400 Japan: Maruzen Co. Ltd, Book Department, 3–10 Nihonbashi 2-chome, Chuo-ku, Tokyo 103 Australia: DA Books and Journals, 648 Whitehorse Road, Mitcham 3132, Victoria First published 1986 by Collins Professional and Technical Books This edition 2000 A catalogue record for this book is available from the British Library ISBN: 0 7277 2860 1 © D. Johnson and Thomas Telford Limited 2000 All rights, including translation, reserved. Except as permitted by the Copyright, Designs and Patents Act 1988, 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 or otherwise, without the prior written permission of the Publishing Director, Thomas Telford Publishing, Thomas Telford Ltd, 1 Heron Quay, London E14 4JD This book is published on the understanding that the author is solely responsible for the statements made and opinions expressed in it and that its publication does not necessarily imply that such statements and/or opinions are or reflect the views or opinions of the publishers. While every effort has been made to ensure that the statements made and the opinions expressed in this publication provide a safe and accurate guide, no liability or responsibility can be accepted in this respect by the author or publishers Typeset by Helius, Brighton Printed and bound in Great Britain by MPG Books, Bodmin 4 Delivered by ICEVirtualLibrary.com to: IP: 90.154.135.210 On: Sat, 31 Jul 2010 09:08:24 Contents Preface to the first edition v Preface to the second edition vii Examination question sources ix 1 Elasticity 1.1 Introduction 1.2 Elasticity theory 1.2.1 Stress 1.2.2 Displacements and strains 1.2.3 Stresses and strains 1.3 Plane stress 1.3.1 Introduction 1.3.2 Theory 1.3.3 Stress function solution 1.4 Finite element method 1.4.1 Triangular element theory 1.4.2 Example 1.1 – concrete cube analysis 1.4.3 Finite element types 1.4.4 Eight-noded isoparametric element 1.4.5 Assessment of solution accuracy 1.5 Plane strain 1.5.1 Introduction 1.5.2 Stresses and strains References and further reading Problems 1 1 2 3 4 6 9 9 10 15 16 16 20 36 37 45 48 48 49 50 51 2 Torsion 2.1 Introduction 2.2 Torsional behaviour 2.3 Solid sections 2.3.1 Circular section 2.3.2 Non-circular sections 59 59 61 62 62 63 5 Delivered by IC