solutions for An Introduction to the Finite Element Method (3rd Edition), by J. N. Reddy.pdf

SOLUTIONS MANUAL

for

An Introduction to

The Finite Element Method

(Third Edition)

J. N. REDDY

Department of Mechanical Engineering

Texas A & M University

College Station, Texas 77843-3123

PROPRIETARY AND CONFIDENTIAL

This Manual is the proprietary property of The McGraw-Hill Companies, Inc.

(“McGraw-Hill”) and protected by copyright and other state and federal laws. By

opening and using this Manual the user agrees to the following restrictions, and if

the recipient does not agree to these restrictions, the Manual should be promptly

returned unopened to McGraw-Hill: This Manual is being provided only to

authorized professors and instructors for use in preparing for the classes

using the aﬃliated textbook. No other use or distribution of this Manual

is permitted. This Manual may not be sold and may not be distributed to

or used by any student or other third party. No part of this Manual

may be reproduced, displayed or distributed in any form or by any

means, electronic or otherwise, without the prior written permission of

the McGraw-Hill.

McGraw-Hill, New York, 2005

iii

PREFACE

This solution manual is prepared to aid the instructor in discussing the solutions

to assigned problems in Chapters 1 through 14 from the book, An Introduction to

the Finite Element Method, Third Edition, McGraw—Hill, New York, 2006. Computer

solutions to certain problems of Chapter 8 (see Chapter 13 problems) are also included

at the end of Chapter 8.

The instructor should make an eﬀort to review the problems before assigning them.

This allows the instructor to make comments and suggestions on the approach to be

taken and nature of the answers expected. The instructor may wish to generate

additional problems from those given in this book, especially when taught time

and again from the same book. Suggestions for new problems are also included

at pertinent places in this manual. Additional examples and problems can be found

in the following books of the author:

1. J. N. Reddy and M. L. Rasmussen, Advanced Engineering Analysis, John Wiley, New York, 1982;

reprinted and marketed currently by Krieger Publishing Company, Melbourne, Florida, 1990 (see

Section 3.6).

2. J. N. Reddy, Energy and Variational Methods in Applied Mechanics, John Wiley, New York, 1984

(see Chapters 2 and 3).

3. J. N. Reddy, Applied Functional Analysis and Variational Methods in Engineering, McGraw-Hill,

New York, 1986; reprinted and marketed currently by Krieger Publishing Company, Melbourne,

Florida, 1991 (see Chapters 4, 6 and 7).

4. J. N. Reddy, Theory and Analysis of Elastic Plates, Taylor and Francis, Philadelphia, 1997.

5. J. N. Reddy, Energy Principles and Variational Methods in Applied Mechanics, Second Edition,

John Wiley, New York, 2002 (see Chapters 4 through 7 and Chapter 10).

6. J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis,CRC

Press, Second Edition, Boca Raton, FL, 2004.

7. J. N. Reddy, An Introduction to Nonlinear Finite Element Analysis, Oxford University Press,

Oxford, UK, 2004.

The computer problems FEM1D and FEM2D can be readily modi ﬁ ed to solve

new types of ﬁ eld problems. The programs can be easily extended to ﬁ nite element

models formulated in an advanced course and/or in research. The Fortran sources of

FEM1D and FEM2D are available from the author for a price of $ 200.

The author appreciates receiving comments on the book and a list of errors found

in the book and this solutions manual.

J. N. Reddy

All that is not given is lost.

PROPRIETARY MATERIAL. c

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