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Note for Strength Of Materials - SOM By Anik Verma

  • Strength Of Materials - SOM
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A TEXTBOOK OF ( STRENGTH OF MATERIALS (In S.I. Units) [For Degree, U.P.S.C. (Engg. Services), Gate and other Competitive Examinations] By Dr. R.K. Bansal B.Sc. Engg. (Mech.), M. Tech., Hons. (I.LT., Delhi) Ph.D., M.I.E. (India) Formerly Professor and Head Department of Mechanical Engineering, (University of Delhi) Delhi College of Engineering, Delhi ,. ~ LAXMI PUBLICATIONS (P) LTD BANGALORE • JALANDHAR • CHENNAI KOLKATA e • COCHIN LUCKNOW • • GUWAHATI • MUMBAI • NEW DELHI • BOSTON, USA HYDERABAD RANCHI

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i, Published by : LAXMI PUBLICATIONS (P) LTD 113, Golden House, Daryaganj, New Delhi-110002 Phone : 011-43 53 25 00 Fax : 011-43 53 25 28 www.laxmipublications.com info@laxmipublications.com Compiled by : Smt. Nirmal Bansal © All rights reserved with the Author and Publishers. No part of this publication may be reproduced, stored in a retrieual system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise without the prior written permission of the publisher. Price : Rs. 450.00 Only. Third Edition : 1996 Reprint : 1998, 2000, 2001, 2002, 2003, 2004 Fourth Edition : 2007, 2008, 2009 OFFICES i! :: I! I! n ",, Ji jl Ii lI India © Bangalore (() Chennai © Cochin (() Guwahati (() Hyderabad © Jalandhar © Kolkata © Lucknow © Mumbai (() Ranchi USA 080-26 61 15 61 044-24 34 47 26 0484-239 70 04 0361-254 36 69, 251 38 81 040-24 65 23 33 0181-222 12 72 Boston 11, Leavitt Street, Hingham, MA 02043, USA 033-22 27 43 84 0522-220 95 78 022-24 91 54 15, 24 92 78 69 0651-22147 64 ESM-0598-450-STRENGTH OF MATERIALS Typeset at : Goswami Printers, Delhi. C-17030/09/01 Printed at : Giriraj Offset Printer, Delhi. J

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., i Contents ) Chapter\ Chapter 1. Simple Stresses and Strains 1.1. 1.2. -l! 1.3. 1.4. 1.5. 1.6. 1.7. 1.8. 1.9. 1.10. Introduction Stress Strain Types of Stresses Elasticity and Elastic Limit Hooke's Law and Elastic Modulii Modulus of Elasticity (9r Young's Modulus) Factor of Safety Constitutive Relationship between Stress and Strain Analysis of Bars of Varying Sections 1.11. Analysis of Uf;llformly Tapering Circular Rod 1.12. Analysis of Uniformly Tapering Rectangular Bar 1.13. Analysis of Bars of Composite Sections 1.14. Thermal Stresses 1.15. Thermal Stresses in Composite Bars 1.16. Elongation of a Bar Due to its Own Weight 1.17. Analysis of Bar of Uniform Strength Highlights Exercise 1 Chapter 2. Elastic Constants I ), 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2. 7. 2.8. 2.9. 2.10. Introduction Longitudinal Strain Lateral Strain Poisson's Ratio Volumetric Strain Volumetric Strain of a Cylindrical Rod Bulk Modulus Expression for Young's Modulus in Terms of Bulk Modulus Principle of Compliitnentary Shear Stresses Stresses on Inclined Sections when the Element is Subjected to Simple Shear Stresses 2.11. Dia_gonal Stresses Produced by Simple Shear on a Square Block 2.12. Direct (Tensile and Compressive) Strains of the Diagonals 2.13. Relationship between Modulus of Elasticity and Modulus of Rigidity Highlights Exercise 2 r 1-58 1 1 2 2 5 6 6 6 6 14 24 27 30 42 44 50 51 53 54 59-84 59 59 59 60 62 68 70 70 73 74 76 77 78 81 82

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