Mechanical Hand Book

  • View
    3.304

  • Download
    8

Embed Size (px)

Transcript

Mechanical Engineer's HandbookAcademic Press Series in EngineeringSeries EditorJ. David IrwinAuburn UniversityThis a series that will include handbooks, textbooks, and professional referencebooks on cutting-edge areas of engineering. Also included in this series will be single-authored professional books on state-of-the-art techniques and methods in engineer-ing. Its objective is to meet the needs of academic, industrial, and governmentalengineers, as well as provide instructional material for teaching at both the under-graduate and graduate level.The series editor, J. David Irwin, is one of the best-known engineering educators inthe world. Irwin has been chairman of the electrical engineering department atAuburn University for 27 years.Published books in this series:Control of Induction Motors2001, A. M. TrzynadlowskiEmbedded Microcontroller Interfacing for McoR Systems2000, G. J. LipovskiSoft Computing & Intelligent Systems2000, N. K. Sinha, M. M. GuptaIntroduction to Microcontrollers1999, G. J. LipovskiIndustrial Controls and Manufacturing1999, E. KamenDSP Integrated Circuits1999, L. WanhammarTime Domain Electromagnetics1999, S. M. RaoSingle- and Multi-Chip Microcontroller Interfacing1999, G. J. LipovskiControl in Robotics and Automation1999, B. K. Ghosh, N. Xi, and T. J. TarnMechanicalEngineer'sHandbookEdited byDan B. MarghituDepartment of Mechanical Engineering, Auburn University,Auburn, AlabamaSan Diego San Francisco New York Boston London Sydney TokyoThis book is printed on acid-free paper.Copyright # 2001 by ACADEMIC PRESSAll rights reserved.No part of this publication may be reproduced or transmitted in any form or by anymeans, electronic or mechanical, including photocopy, recording, or any informationstorage and retrieval system, without permission in writing from the publisher.Requests for permission to make copies of any part of the work should be mailed to:Permissions Department, Harcourt, Inc., 6277 Sea Harbor Drive, Orlando, Florida32887-6777.Explicit permission from Academic Press is not required to reproduce a maximum of twogures or tables from an Academic Press chapter in another scientic or researchpublication provided that the material has not been credited to another source and that fullcredit to the Academic Press chapter is given.Academic PressA Harcourt Science and Technology Company525 B Street, Suite 1900, San Diego, California 92101-4495, USAhttp://www.academicpress.comAcademic PressHarcourt Place, 32 Jamestown Road, London NW1 7BY, UKhttp://www.academicpress.comLibrary of Congress Catalog Card Number: 2001088196International Standard Book Number: 0-12-471370-XPRINTED IN THE UNITED STATES OF AMERICA01 02 03 04 05 06 COB 9 8 7 6 5 4 3 2 1Table of ContentsPreface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiiiContributors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvCHAPTER 1 StaticsDan B. Marghitu, Cristian I. Diaconescu, and Bogdan O. Ciocirlan1. Vector Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21.1 Terminology and Notation . . . . . . . . . . . . . . . . . . . . . . . . . . 21.2 Equality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41.3 Product of a Vector and a Scalar . . . . . . . . . . . . . . . . . . . . . . 41.4 Zero Vectors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41.5 Unit Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41.6 Vector Addition. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51.7 Resolution of Vectors and Components . . . . . . . . . . . . . . . . . . 61.8 Angle between Two Vectors . . . . . . . . . . . . . . . . . . . . . . . . . 71.9 Scalar (Dot) Product of Vectors . . . . . . . . . . . . . . . . . . . . . . . 91.10 Vector (Cross) Product of Vectors . . . . . . . . . . . . . . . . . . . . . . 91.11 Scalar Triple Product of Three Vectors . . . . . . . . . . . . . . . . . . 111.12 Vector Triple Product of Three Vectors . . . . . . . . . . . . . . . . . . 111.13 Derivative of a Vector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122. Centroids and Surface Properties . . . . . . . . . . . . . . . . . . . . . . . . . . 122.1 Position Vector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122.2 First Moment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132.3 Centroid of a Set of Points . . . . . . . . . . . . . . . . . . . . . . . . . . 132.4 Centroid of a Curve, Surface, or Solid . . . . . . . . . . . . . . . . . . . 152.5 Mass Center of a Set of Particles . . . . . . . . . . . . . . . . . . . . . . 162.6 Mass Center of a Curve, Surface, or Solid . . . . . . . . . . . . . . . . 162.7 First Moment of an Area. . . . . . . . . . . . . . . . . . . . . . . . . . . . 172.8 Theorems of GuldinusPappus . . . . . . . . . . . . . . . . . . . . . . . 212.9 Second Moments and the Product of Area . . . . . . . . . . . . . . . . 242.10 Transfer Theorem or Parallel-Axis Theorems . . . . . . . . . . . . . . 252.11 Polar Moment of Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272.12 Principal Axes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283. Moments and Couples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303.1 Moment of a Bound Vector about a Point . . . . . . . . . . . . . . . . 303.2 Moment of a Bound Vector about a Line . . . . . . . . . . . . . . . . . 313.3 Moments of a System of Bound Vectors . . . . . . . . . . . . . . . . . 323.4 Couples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34v3.5 Equivalence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 353.6 Representing Systems by Equivalent Systems . . . . . . . . . . . . . . 364. Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 404.1 Equilibrium Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 404.2 Supports. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 424.3 Free-Body Diagrams. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 445. Dry Friction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 465.1 Static Coefcient of Friction . . . . . . . . . . . . . . . . . . . . . . . . . . 475.2 Kinetic Coefcient of Friction. . . . . . . . . . . . . . . . . . . . . . . . . 475.3 Angles of Friction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49CHAPTER 2 DynamicsDan B. Marghitu, Bogdan O. Ciocirlan, and Cristian I. Diaconescu1. Fundamentals