SOLUTIONS MANUAL
for
An Introduction to
The Finite Element Method
(Third Edition)
by
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
,ii
, 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 modified to solve
new types of field problems. The programs can be easily extended to finite 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.
, iv
PROPRIETARY MATERIAL. °
c The McGraw-Hill Companies, Inc. All rights reserved.
for
An Introduction to
The Finite Element Method
(Third Edition)
by
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
,ii
, 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 modified to solve
new types of field problems. The programs can be easily extended to finite 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.
, iv
PROPRIETARY MATERIAL. °
c The McGraw-Hill Companies, Inc. All rights reserved.
