E-Book Overview
A First Course in the Finite Element Analysis provides a simple, basic approach to the finite element method that can be understood by both undergraduate and graduate students. It does not have the usual prerequisites (such as structural analysis) required by most available texts in this area. The book is written primarily as a basic learning tool for the undergraduate student in civil and mechanical engineering whose main interest is in stress analysis and heat transfer. The text is geared toward those who want to apply the finite element method as a tool to solve practical physical problems. This revised fourth edition includes the addition of a large number of new problems (including SI problems), an appendix for mechanical and thermal properties, and more civil applications.
E-Book Content
A First Course in the Finite Element Method Fourth Edition Daryl L. Logan University of Wisconsin–Platteville Australia Brazil Canada Mexico Singapore Spain United Kingdom United States A First Course in the Finite Element Method, Fourth Edition by Daryl L. Logan Associate Vice-President and Editorial Director: Evelyn Veitch Publisher: Chris Carson Developmental Editors: Kamilah Reid Burrell/ Hilda Gowans Copy Editor: Interior Design: Harlan James RPK Editorial Services Proofreader: Cover Design: Erin Wagner Andrew Adams Indexer: Compositor: RPK Editorial Services International Typesetting and Composition Production Manager: Renate McCloy Permissions Coordinator: Vicki Gould Creative Director: Angela Cluer Production Services: Printer: R. R. Donnelley Cover Images: Courtesy of ALGOR, Inc. RPK Editorial Services COPYRIGHT # 2007 by Nelson, a division of Thomson Canada Limited. Printed and bound in the United States 1 2 3 4 07 06 For more information contact Nelson, 1120 Birchmount Road, Toronto, Ontario, Canada, M1K 5G4. Or you can visit our Internet site at http://www.nelson.com Library of Congress Control Number: 2006904397 ISBN: 0-534-55298-6 ALL RIGHTS RESERVED. No part of this work covered by the copyright herein may be reproduced, transcribed, or used in any form or by any means—graphic, electronic, or mechanical, including photocopying, recording, taping, Web distribution, or information storage and retrieval systems— without the written permission of the publisher. For permission to use material from this text or product, submit a request online at www.thomsonrights.com Every effort has been made to trace ownership of all copyright material and to secure permission from copyright holders. In the event of any question arising as to the use of any material, we will be pleased to make the necessary corrections in future printings. North America Nelson 1120 Birchmount Road Toronto, Ontario M1K 5G4 Canada Asia Thomson Learning 5 Shenton Way #01-01 UIC Building Singapore 068808 Australia/New Zealand Thomson Learning 102 Dodds Street Southbank, Victoria Australia 3006 Europe/Middle East/Africa Thomson Learning High Holborn House 50/51 Bedford Row London WC1R 4LR United Kingdom Latin America Thomson Learning Seneca, 53 Colonia Polanco 11569 Mexico D.F. Mexico Spain Paraninfo Calle/Magallanes, 25 28015 Madrid, Spain Contents 1 Introduction 1 Prologue 1 1.1 Brief History 2 1.2 Introduction to Matrix Notation 1.3 Role of the Computer 6 4 1.4 General Steps of the Finite Element Method 1.5 Applications of the Finite Element Method 1.6 Advantages of the Finite Element Method 7 15 19 1.7 Computer Programs for the Finite Element Method References 24 Problems 23 27