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
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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
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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
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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
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27