Plates and FEM Surprises and Pitfalls
This textbook aims to be the bridge between plate theory and FE-software. Structural engineers must translate elastic analysis results into economic structure dimensions and reinforcement, which raises difficulties. Not all engineers are well enough equip
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Johan Blaauwendraad
Plates and FEM Surprises and Pitfalls
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Plates and FEM
SOLID MECHANICS AND ITS APPLICATIONS Volume 171
Series Editor:
G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo, Ontario, Canada N2L 3GI
Aims and Scope of the Series The fundamental questions arising in mechanics are: Why?, How?, and How much? The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids. The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics; variational formulations; computational mechanics; statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, plasticity and viscoelasticity; composite materials; rods, beams, shells and membranes; structural control and stability; soils, rocks and geomechanics; fracture; tribology; experimental mechanics; biomechanics and machine design. The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of the field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity.
For other titles published in this series, go to www.springer.com/series/6557
Johan Blaauwendraad
Plates and FEM Surprises and Pitfalls
Johan Blaauwendraad Professor Emeritus of Structural Mechanics Delft University of Technology Klinkenbergerweg 74 6711 ML Ede The Netherlands [email protected]
ISSN 0925-0042 ISBN 978-90-481-3595-0 e-ISBN 978-90-481-3596-7 DOI 10.1007/978-90-481-3596-7 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2010920151 © Springer Science + Business Media B.V. 2010 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.
Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
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Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xv Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xix Free Software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxi Conversion of SI Units to Imperial Units . . . . . . . . . . . . . . . . . . . . . . . xxiii Conversion of SI Units to US Customary System . . . . . . . . . . . . . . . . . xxv Part 1 Theory of Plates 1
Plate Membrane Theory . . . . . . . . . . . . . . . .
