Preface
The aim of writing this textbook is to present the subject contents of applied elasticity
course in a clear and logical manner, which constitutes an elective course for senior
undergraduate and postgraduate programs in civil, mechanical, aerospace and material engineering departments of many universities. This book highlights the basic
principles and the corresponding mathematical expressions involved in theory of
elasticity along with applications to many problems in civil engineering including
geomechanics. All the logical steps are included for the derivation of the equations
and/or solution of all the problems so that the students will be able to follow the textbook very easily. Throughout this book, a simple matrix notation has been adopted
in the development of mathematical expressions. A number of solved and unsolved
problems have been included in each chapter.
The subject matter has been presented in eight chapters in which Chap. 1 provides
a brief introduction to elasticity. Analysis of stress, analysis of strain and stress–
strain relations are covered in Chaps. 2–4, respectively. Chapters 5 and 6 cover
two-dimensional problems in elasticity in Cartesian coordinate system and polar
coordinate system, respectively. Torsion of prismatic bars is covered in Chap. 7.
Solutions and applications in geomechanics are presented in Chap. 8.
During the preparation of this book, many books and papers have been referred,
and thus, the authors acknowledge all the individuals whose papers and books have
been referred. Further, this subject has been offered as a postgraduate course at
Indian Institute of Science, Bangalore, emphasizing on the application of elasticity
to geotechnical engineering.
We thank Prof. K. T. S. Iyengar, formerly Professor of Civil Engineering, Indian
Institute of Science, Bangalore, India, who took pain to go through our manuscript
and also for writing a foreword for this book. Also thanks to Prof. B. K. Raghu Prasad,
formerly Professor of Civil Engineering, Indian Institute of Science, Bangalore, for
all the encouragement and also for writing a foreword for this book. Also thanks to
Prof. Gopal Rao, UBDT College of engineering, Davanagere, Karnataka, India, for
going through the manuscript and for suggesting many corrections.
We also thank Dr. V. Devaraj, Professor in Civil Engineering, University
Visvesvaraya College of Engineering, Bangalore, for his elegant review on this book.
ix
The aim of writing this textbook is to present the subject contents of applied elasticity
course in a clear and logical manner, which constitutes an elective course for senior
undergraduate and postgraduate programs in civil, mechanical, aerospace and material engineering departments of many universities. This book highlights the basic
principles and the corresponding mathematical expressions involved in theory of
elasticity along with applications to many problems in civil engineering including
geomechanics. All the logical steps are included for the derivation of the equations
and/or solution of all the problems so that the students will be able to follow the textbook very easily. Throughout this book, a simple matrix notation has been adopted
in the development of mathematical expressions. A number of solved and unsolved
problems have been included in each chapter.
The subject matter has been presented in eight chapters in which Chap. 1 provides
a brief introduction to elasticity. Analysis of stress, analysis of strain and stress–
strain relations are covered in Chaps. 2–4, respectively. Chapters 5 and 6 cover
two-dimensional problems in elasticity in Cartesian coordinate system and polar
coordinate system, respectively. Torsion of prismatic bars is covered in Chap. 7.
Solutions and applications in geomechanics are presented in Chap. 8.
During the preparation of this book, many books and papers have been referred,
and thus, the authors acknowledge all the individuals whose papers and books have
been referred. Further, this subject has been offered as a postgraduate course at
Indian Institute of Science, Bangalore, emphasizing on the application of elasticity
to geotechnical engineering.
We thank Prof. K. T. S. Iyengar, formerly Professor of Civil Engineering, Indian
Institute of Science, Bangalore, India, who took pain to go through our manuscript
and also for writing a foreword for this book. Also thanks to Prof. B. K. Raghu Prasad,
formerly Professor of Civil Engineering, Indian Institute of Science, Bangalore, for
all the encouragement and also for writing a foreword for this book. Also thanks to
Prof. Gopal Rao, UBDT College of engineering, Davanagere, Karnataka, India, for
going through the manuscript and for suggesting many corrections.
We also thank Dr. V. Devaraj, Professor in Civil Engineering, University
Visvesvaraya College of Engineering, Bangalore, for his elegant review on this book.
ix