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About the Author. He is a distinguished alumnus of IIT, Chicago. Professor Srinath has authored several books and papers and has been on Advisory Boards of quite a few national bodies dealing with engineering education. Advanced Mechanics of. Third Edition. L S Srinath. New Delhi. McGraw-Hill Offices. New York.

St Louis. San Francisco. Kuala Lumpur. San Juan. Mexico City. Tata McGraw-Hill. No part of this publication may be reproduced or distributed in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise or stored in a data- base or retrieval system without the prior written permission of the publishers.

The program listings if any may be entered, stored and executed in a computer system, but they may not be reproduced for publication. Managing Director: Ajay Shukla. Information contained in this work has been obtained by Tata McGraw-Hill, from sources believed to be reliable. However, neither Tata McGraw-Hill nor its authors guarantee the accuracy or completeness of any information published herein, and neither Tata McGraw-Hill nor its authors shall be responsible for any errors, omis- sions, or damages arising out of use of this information.

This work is published with the understanding that Tata McGraw-Hill and its authors are supplying infor- mation but are not attempting to render engineering or other professional services. If such services are required, the assistance of an appropriate professional should be sought. Typeset at Astral Pre Media Pvt. Cover: Rashtriya Printers. List of Symbols. Analysis of Stress.

Equations of Equilibrium in Cylindrical Coordinates Appendix 1. Appendix 2. Appendix 3. Analysis of Strain. Stress Space and Strain Space Energy Methods. Bending of Beams. Torsion of Rectangular Bars Axisymmetric Problems. Thermal Stresses. Elastic Stability. Beam Columns.

Beam Column Beam Column Equations Beam Column with a Concentrated Load Beam Column with Several Concentrated Loads Continuous Lateral Load Beam-Column with End Couple Eigenvalue Problem. General Differential Equation and Specific Examples The Orthogonality Relations. Energy Methods for Buckling Problems Theorem of Stationary Potential Energy. Comparison with the Principle of Conservation of Energy.

Energy and Stability Considerations. Application to Buckling Problems. The Rayleigh—Ritz Method. Columns with Variable Cross-Sections. Use of Trigonometric Series Problems Introduction to Composite Materials. Introduction to Stress Concentration and Fracture Mechanics. Stress Concentration Introduction Members under Tension Members under Torsion Members under Bending Notch Sensitivity Contact Stresses Fracture Mechanics Brittle Fracture Stress Intensity Factor Fracture Toughness Fracture Conditions Fracture Modes Plane Stress and Plane Strain Plastic Collapse at a Notch Experimental Determination of K I c Strain-Energy Release Rate Meaning of Energy Criterion The present edition of the book is a completely revised version of the earlier two editions.

The second edition provided an opportunity to correct several typographical errors and wrong answers to some problems. Also, in addition, based on many suggestions received, a chapter on composite materials was also added and this addition was well received. Since this is a second-level course addressed to senior level students, many suggestions were being received to add several specialized topics.

While it was difficult to accommodate all suggestions in a book of this type, still, a few topics due to their importance needed to be included and a new edition became necessary. As in the earlier editions, the first five chapters deal with the general analysis of mechanics of deformable solids. The contents of these chapters provide a firm foundation to the mechanics of deformable solids which will enable the student to analyse and solve a variety of strength-related design problems encountered in practice.

The second reason is to bring into focus the assumptions made in obtaining several basic equations. Instances are many where equations presented in handbooks are used to solve practical problems without examining whether the conditions under which those equations were obtained are satisfied or not. The treatment starts with Analysis of stress, Analysis of strain, and Stress— Strain relations for isotropic solids. These chapters are quite exhaustive and include materials not usually found in standard books.

Chapter 4 dealing with Theories of Failure or Yield Criteria is a general departure from older texts. This treatment is brought earlier because, in applying any design equation in strength related problems, an understanding of the possible factors for failure, depending on the material properties, is highly desirable.

Chapter 5 deals with energy methods, which is one of the important topics and hence, is discussed in great detail. The discussions in this chapter are important because of their applicability to a wide variety of problems. Several worked examples illustrate the applications of these theorems. Bending of beams, Centre of flexure, Curved Beams, etc. This chapter also discusses the validity of Euler—Bernoulli hypothesis in the derivations of beam equations.

Torsion is covered in great detail in Chapter 7. Torsion of circular, elliptical, equilateral triangular bars, thin-walled multiple cell sections, etc. Another notable inclusion in this chapter is the torsion of bars with multiply connected sections which, in spite of its importance, is not found in standard texts. Analysis of axisymmetric problems like composite tubes under internal and external pressures, rotating disks, shafts and cylinders can be found in Chapter 8.

Stresses and deformations caused in bodies due to thermal gradients need special attention because of their frequent occurrences.


[L. S. Srinath] Advanced Mechanics of Solids 3








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