Design of Machine Elements Third Edition About the Author V B Bhandari retired as Professor and Head, Department of Mechanical Engineering at Vishwakarma Institute of Technology, Pune. He holds First-Class BE and ME degrees in Mechanical Engineering from Pune University, and his teaching experience spans over 38 years in Government Colleges of Engineering at Pune, Karad and Aurangabad. He was also a postgraduate teacher of Pune University, Shivaji University and Marathwada University. Besides being a National Scholar, he has received five prizes from Pune University during his academic career. Professor Bhandari was a member of ‘Board of Studies in Mechanical Engineering’ and a member of ‘Faculty of Engineering’ of Pune University. He is a Fellow of Institution of Engineers (India), a Fellow of Institution of Mechanical Engineers (India) and a Senior Member of Computer Society of India. He was a Fellow of Institution of Production Engineers (India) and a Member of American Society of Mechanical Engineers (USA). He has presented and published twenty technical papers in national and international conferences and journals, and is also the author of Introduction to Machine Design published by Tata McGraw Hill Education Private Limited. Design of Machine Elements Third Edition V B BHANDARI Retired Professor and Head Department of Mechanical Engineering Vishwakarma Institute of Technology Pune Tata McGraw Hill Education Private Limited NEW DELHI McGraw-Hill Offices New Delhi New York St Louis San Francisco Auckland Bogotá Caracas Kuala Lumpur Lisbon London Madrid Mexico City Milan Montreal San Juan Santiago Singapore Sydney Tokyo Toronto Published by the Tata McGraw Hill Education Private Limited, 7 West Patel Nagar, New Delhi 110 008. Design of Machine Elements, 3e Copyright © 2010, 2007, 1994 by Tata McGraw Hill Education Private Limited. No part of this publication may be reproduced or distributed in any form or by any means, electronic, mechanical, photocopying, re