, Advanced Strength
and
Applied Elasticity
Fourth Edition
ANSEL C. UGURAL
New Jersey Institute of Technology
SAUL K. FENSTER
New Jersey Institute of Technology
PRENTICE HALL
Professional Technical Reference
Upper Saddle River, New Jersey 07458
www.ptr.com
,Library of Congress Cataloging-in-Publication Data
Ugural, A. C.
Advanced strength and applied elasticity/Ansel C. Ugural, Saul K.
Fenster.—4th ed.
p. cm.
Includes bibliographical references and index.
ISBN 0-13-047392-8
1. Strength of materials. 2. Elasticity. I. Fenster, Saul K. II. Title.
TA405.U42 2003
620.1′123-dc21
2002153330
Editorial/production supervision: Patty Donovan (Pine Tree Composition, Inc.)
Cover design director: Jerry Votta
Art director: Gail Cocker-Bogusz
Manufacturing buyer: Maura Zaldivar
Publisher: Bernard Goodwin
Marketing manager: Dan DePasquale
Editorial assistant: Michelle Vincenti
Full-service production manager: Anne R. Garcia
© 2003, 1995 by Pearson Education, Inc.
Publishing as Prentice Hall Professional Technical Reference
Upper Saddle River, New Jersey 07458
Prentice Hall books are widely used by corporations and
government agencies for training, marketing, and resale.
For information regarding corporate and government bulk
discounts, please contact: Corporate and Government Sales
(800) 382-3419 or
Other company and product names mentioned herein are the
trademarks or registered trademarks of their respective owners.
All rights reserved. No part of this book may be reproduced, in
any form or by any means, without permission in writing from the publisher.
Printed in the United States of America
10 9 8 7 6 5 4 3 2
ISBN 0-13-047392-8
Text printed in the United States at Hamilton in Castleton, New York.
11th Printing February 2008
Pearson Education Ltd., London
Pearson Education Australia Pty, Limited, Sydney
Pearson Education Singapore, Pte. Ltd.
Pearson Education North Asia Ltd., Hong Kong
Pearson Education Canada, Ltd., Toronto
Pearson Educacion de Mexico, S.A. de C.V.
Pearson Education-Japan, Tokyo
Pearson Education Malaysia, Pte. Ltd.
, Contents
Preface to the Fourth Edition ix
List of Symbols xiii
Chapter 1 Analysis of Stress 1
1.1 Introduction 1
1.2 Scope of Treatment 2
1.3 Definition of Stress 4
1.4 Components of Stress: Stress Tensor 5
1.5 Some Special Cases of Stress 8
1.6 Internal Force-Resultant and Stress Relations 9
1.7 Stresses on Inclined Planes in an Axially Loaded Member 11
1.8 Variation of Stress within a Body 14
1.9 Two-Dimensional Stress at a Point 17
1.10 Principal Stresses and Maximum Shear Stress in Two Dimensions 19
1.11 Mohr’s Circle for Two-Dimensional Stress 20
1.12 Three-Dimensional Stress at a Point 26
1.13 Principal Stresses in Three Dimensions 29
1.14 Normal and Shear Stresses on an Oblique Plane 32
1.15 Mohr’s Circle for Three-Dimensional Stress 34
1.16 Boundary Conditions in Terms of Surface Forces 37
Problems 38
Chapter 2 Strain and Stress–Strain Relations 51
2.1 Introduction 51
2.2 Deformation 51
2.3 Strain Defined 52
2.4 Equations of Compatibility 56
2.5 State of Strain at a Point 57
2.6 Engineering Materials 63
2.7 Stress–Strain Diagrams 64
2.8 Hooke’s Law and Poisson’s Ratio 66
iii
and
Applied Elasticity
Fourth Edition
ANSEL C. UGURAL
New Jersey Institute of Technology
SAUL K. FENSTER
New Jersey Institute of Technology
PRENTICE HALL
Professional Technical Reference
Upper Saddle River, New Jersey 07458
www.ptr.com
,Library of Congress Cataloging-in-Publication Data
Ugural, A. C.
Advanced strength and applied elasticity/Ansel C. Ugural, Saul K.
Fenster.—4th ed.
p. cm.
Includes bibliographical references and index.
ISBN 0-13-047392-8
1. Strength of materials. 2. Elasticity. I. Fenster, Saul K. II. Title.
TA405.U42 2003
620.1′123-dc21
2002153330
Editorial/production supervision: Patty Donovan (Pine Tree Composition, Inc.)
Cover design director: Jerry Votta
Art director: Gail Cocker-Bogusz
Manufacturing buyer: Maura Zaldivar
Publisher: Bernard Goodwin
Marketing manager: Dan DePasquale
Editorial assistant: Michelle Vincenti
Full-service production manager: Anne R. Garcia
© 2003, 1995 by Pearson Education, Inc.
Publishing as Prentice Hall Professional Technical Reference
Upper Saddle River, New Jersey 07458
Prentice Hall books are widely used by corporations and
government agencies for training, marketing, and resale.
For information regarding corporate and government bulk
discounts, please contact: Corporate and Government Sales
(800) 382-3419 or
Other company and product names mentioned herein are the
trademarks or registered trademarks of their respective owners.
All rights reserved. No part of this book may be reproduced, in
any form or by any means, without permission in writing from the publisher.
Printed in the United States of America
10 9 8 7 6 5 4 3 2
ISBN 0-13-047392-8
Text printed in the United States at Hamilton in Castleton, New York.
11th Printing February 2008
Pearson Education Ltd., London
Pearson Education Australia Pty, Limited, Sydney
Pearson Education Singapore, Pte. Ltd.
Pearson Education North Asia Ltd., Hong Kong
Pearson Education Canada, Ltd., Toronto
Pearson Educacion de Mexico, S.A. de C.V.
Pearson Education-Japan, Tokyo
Pearson Education Malaysia, Pte. Ltd.
, Contents
Preface to the Fourth Edition ix
List of Symbols xiii
Chapter 1 Analysis of Stress 1
1.1 Introduction 1
1.2 Scope of Treatment 2
1.3 Definition of Stress 4
1.4 Components of Stress: Stress Tensor 5
1.5 Some Special Cases of Stress 8
1.6 Internal Force-Resultant and Stress Relations 9
1.7 Stresses on Inclined Planes in an Axially Loaded Member 11
1.8 Variation of Stress within a Body 14
1.9 Two-Dimensional Stress at a Point 17
1.10 Principal Stresses and Maximum Shear Stress in Two Dimensions 19
1.11 Mohr’s Circle for Two-Dimensional Stress 20
1.12 Three-Dimensional Stress at a Point 26
1.13 Principal Stresses in Three Dimensions 29
1.14 Normal and Shear Stresses on an Oblique Plane 32
1.15 Mohr’s Circle for Three-Dimensional Stress 34
1.16 Boundary Conditions in Terms of Surface Forces 37
Problems 38
Chapter 2 Strain and Stress–Strain Relations 51
2.1 Introduction 51
2.2 Deformation 51
2.3 Strain Defined 52
2.4 Equations of Compatibility 56
2.5 State of Strain at a Point 57
2.6 Engineering Materials 63
2.7 Stress–Strain Diagrams 64
2.8 Hooke’s Law and Poisson’s Ratio 66
iii
