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Dupac Mihai - Machine Component Analysis with MATLAB

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    Machine Component Analysis with MATLAB
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Front Cover; Machine component analysis with MATLAB; Copyright; Contents; Preface; 1 Stress and de ection; 1.1 Stress components; 1.2 De ection; 1.3 Examples; References; 2 Fatigue failure; 2.1 Endurance limit; 2.2 Fluctuating stresses; 2.3 The constant life fatigue diagram; 2.4 The fatigue life and arbitrarily varying forces; 2.5 Variable loading failure theories; 2.6 Examples; References; 3 Screws; 3.1 Introduction; 3.2 Power transmission screws; 3.3 Threaded fasteners; 3.4 Examples; References; 4 Rolling bearings; 4.1 Introduction; 4.2 Force analysis; 4.3 Catalogue bearing dimensions

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Machine component analysis with MATLAB First edition Dan B Marghitu Mihai - photo 1
Machine component analysis with MATLAB

First edition

Dan B. Marghitu

Mihai Dupac

Table of Contents List of tables Tables in Chapter Four List of figures - photo 2

Table of Contents
List of tables
  1. Tables in Chapter Four
List of figures
  1. Figures in Chapter One
  2. Figures in Chapter Two
  3. Figures in Chapter Three
  4. Figures in Chapter Four
  5. Figures in Chapter Five
  6. Figures in Chapter Six
Landmarks
Copyright

Butterworth-Heinemann is an imprint of Elsevier

The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, United Kingdom

50 Hampshire Street, 5th Floor, Cambridge, MA 02139, United States

Copyright 2019 Elsevier Inc. All rights reserved.

No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. Details on how to seek permission, further information about the Publisher's permissions policies and our arrangements with organizations such as the Copyright Clearance Center and the Copyright Licensing Agency, can be found at our website: www.elsevier.com/permissions.

This book and the individual contributions contained in it are protected under copyright by the Publisher (other than as may be noted herein).

Notices

Knowledge and best practice in this field are constantly changing. As new research and experience broaden our understanding, changes in research methods, professional practices, or medical treatment may become necessary.

Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any information, methods, compounds, or experiments described herein. In using such information or methods they should be mindful of their own safety and the safety of others, including parties for whom they have a professional responsibility.

To the fullest extent of the law, neither the Publisher nor the authors, contributors, or editors, assume any liability for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions, or ideas contained in the material herein.

Library of Congress Cataloging-in-Publication Data

A catalog record for this book is available from the Library of Congress

British Library Cataloguing-in-Publication Data

A catalogue record for this book is available from the British Library

ISBN: 978-0-12-804229-8

For information on all Butterworth-Heinemann publications visit our website at https://www.elsevier.com/books-and-journals

Publisher Matthew Deans Acquisition Editor Brian Guerin Editorial Project - photo 3

Publisher: Matthew Deans

Acquisition Editor: Brian Guerin

Editorial Project Manager: Isabella C. Silva

Production Project Manager: Nirmala Arumugam

Designer: Mark Rogers

Typeset by VTeX

Preface

Dan B. Marghitu; Mihai Dupac

This book is intended as a supplement for courses in machine component design and as a reference for mechanical engineers. The book uses MATLAB as a tool to analyze and solve machine component problems.

The solutions of the problems are obtained analytically and numerically using MATLAB. Many figures are generated with MATLAB programs. Specific functions dealing with machine components are created. The book will assist the undergraduate and advanced undergraduate students interested in machine element analysis. The project can be used for classroom instruction and it can be used for a self-study and can also be offered as distance learning.

The chapters of the book are: stress and deflection, fatigue failure, screws, rolling bearings, lubrication and sliding bearings, and spur gears.

Chapter One
Stress and deflection
Abstract

This chapter presents some of the key elements related to the theory of stress and strain, stress analysis and deformation of mechanical parts due to the action of forces (axial, bending, or combined loads) and moments exerted on them. The presented concepts cover the definition of normal and shear stress and strain, normal and shear components, principal stress components, Mohr's circle construction for two and three-dimensional state of stress and its graphical interpretation, Hook's law and Poisson's ratio, deflection and stress energy. Several problems presenting applications of the theory are solved analytically and numerically using MATLAB.

Keywords

Stress; Strain; Stress components; Deflection; Mohr's circle; Principal stresses; Stress energy

1.1 Stress components

In the design process, the uniform distribution of stresses is usually considered, that is, the results of forces and moments applied to an element represent pure shear or pure tension. If a force F (tension) acts at the ends of a straight bar its line of action incorporates the centroid of the section. If one piece is cut and removed from the bar (made of a homogeneous material), one can replace its effect through a force F=A Machine Component Analysis with MATLAB - image 4 uniformly distributed at the cut. The normal stress can then be expressed as

= F A ,

Machine Component Analysis with MATLAB - image 5 (1.1)

where A is the bar cross-sectional area. For an element in shear the uniform shear stress distribution is

= F A .

Machine Component Analysis with MATLAB - image 6 (1.2)

Stress elements represent a convenient way to show stresses acting at some point of a body. A three-dimensional Cartesian stress element with the normal stresses x Picture 7 , y Picture 8 , and z Picture 9 , and the shear stresses xz Picture 10 , zx Picture 11 , xy Picture 12 , yx Picture 13 , yz Picture 14 , and zy is shown in A For the shear stresses using the static equilibrium results - photo 15 , is shown in A. For the shear stresses, using the static equilibrium, results in

x z = z x , y x = x y , z y = y z .

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