Metric Units in Engineering Going SI This page intentionally left blank Metric Units in Engineering Going SI REVISED EDITION Cornelius Wandmacher, HE. A. Ivan Johnson, EE. With a new preface by Christopher M. Stone, EE. ASCE PRESS Library of Congress Cataloging-in-Publication Data Wandmacher, Cornelius, 1911-1992. Metric units in engineering - going SI: how to use the international system of measurement units (SI) to solve standard engineering problems / Cornelius Wandmacher, A. Ivan Johnson. - Rev. ed. p. cm. Includes index. ISBN 0-7844-0070-9 1. Engineering mathematics. 2. Metric systems. I. Johnson, A.I. (Arnold Ivan). 1919- . II. Title. TA331.W36 1995 95-48550 620'.001 '530812—dc20 CIP Published by American Society of Civil Engineers 1801 Alexander Bell Drive Reston, Virginia 20191 www.pubs.asce.org Any statements expressed in these materials are those of the individual authors and do not necessarily represent the views of ASCE, which takes no responsibility for any statement made herein. No reference made in this publication to any specific method, product, process, or service constitutes or implies an endorsement, recommendation, or warranty thereof by ASCE. The materials are for general information only and do not represent a standard of ASCE, nor are they intended as a reference in purchase specifications, contracts, regulations, statutes, or any other legal document. ASCE makes no representation or warranty of any kind, whether express or implied, concerning the accuracy, completeness, suitability, or utility of any information, apparatus, product, or process discussed in this publication, and assumes no liability therefor. This information should not be used without first securing competent advice with respect to its suitability for any general or specific application. Anyone utilizing this information assumes all liability arising from such use, including but not limited to infringement of any patent or patents. ASCE and American Society of Civil Engineers—Registered in U.S. Patent and Trademark Office. Photocopies and reprints: You can obtain instant permission to photocopy ASCE publications by using ASCE's online permission service (www.pubs.asce.org/authors/RightslinkWelcomePage. htm). Requests for 100 copies or more should be submitted to the Reprints Department, Publications Division, ASCE (address above); email: [email protected]. A reprint order form can be found at www.pubs.asce.org/authors/reprints.html. Original edition published in 1978 by Industrial Press, Inc. Revised edition copyright © 1995 by the American Society of Civil Engineers. Second impression, 2007 All Rights Reserved. ISBN 13: 978-0-7844-0070-8 ISBN 10: 0-7844-0070-9 Manufactured in the United States of America. Contents Preface. vii Preface to the First Edition ix 1. Introduction to SI 1 2. Statics 30 3. Dynamics 57 4. Strength of Materials 88 5. Mechanics of Machines 119 6. Fluid Mechanics 141 7. Thermodynamics and Heat Transfer 190 8. Electricity, Magnetism, and Light 225 9. Conversion to Preferred SI Usage 233 10. Moving into the World of SI 265 Appendix I 289 Appendix II 293 Appendix III 299 Metric Bibliography 305 Index 315 About the Author 321 V This page intentionally left blank Preface In today's global environment, metric measurements are prominent in workplaces, consumer products, news reports, engineering, science, and technology. Almost every country in the world uses the metric system of measurement and has enacted legislation limiting international commerce solely to products measured in metric units. If the United States is to continue to play a leading role in international design and construction, the use of metric measurement is imperative, and U.S. engineers at all levels must be knowledgeable and proficient with its application. The version of the metric system known as the International System of Units, or SI, was established by the General Conference on Weights and Measures (CGPM) in 1960. Earlier versions of the metric system, such as the centimeter- gram-second (COS) and meter-kilogram-second-ampere (MKSA), are no longer acceptable and should not be used. A summary of developments in the adoption of SI units in the United States and Europe is included in the appendixes to this volume, but a few key dates may be helpful to readers. In the United States, Congress made the metric system a legal measurement system in 1866, but did not mandate its use. Enactment of the Metric Conversion Act of 1975 established a national policy of voluntary use of the SI version of the metric system. In 1988, this metric law was amended to declare that SI units were the preferred measurement system for the United States and directed federal agencies to make the transition to using SI by the end of fiscal year 1992. Because some operations take longer to change over than others, the transition to SI is an evolving process, but the transition is gradually taking place in government, industry, and education. In 1979, the European Union, then known as the European Economic Community, approved a council directive specifying SI units as the legal units of measurement in Europe and, more significantly, forbade the use of dual units after 31 December 1999. As it become clear that the deadline was optimistic, in January 2000 the ban on supplementary indications was postponed until 31 vii viii PREFACE December 2009. Beginning in 2010, it will generally be illegal to use dual units in product brochures, manuals, advertisements, and engineering and technical journals in the European Union. The American Society of Civil Engineers kept pace with these changes, and in 1994 adopted Policy Statement 119, which actively supported the use of SI units in civil engineering practice and research. The policy statement recommended that no customary or outdated metric units be incorporated into the usage of the modern metric system and that SI units be used as the primary unit of measurement in all ASCE publications. It also encouraged civil engineering schools to stress the use of SI units in instruction and in all books and instructional materials. Cornelius Wandmacher published the first edition of this book with Industrial Press, Inc., nearly 30 years ago. To support Policy Statement 119, A. Ivan Johnson and ASCE's Committee on Metrication revised and updated Wandmacher's original work. ASCE Press published this revised edition in 1995 to provide guidance to practicing engineers, students, and educators who are adopting and using SI units. Over the years, Metric Units in Engineering: Going SI has become the definitive reference on the use of SI units in engineering. ASCE Press is now issuing a new printing of this classic work, once again making this essential guide available to the engineering community. A few changes have taken place since 1995. Perhaps the most significant pertains to ASTM E 380, Standard Practice for Use of the SI International System of Units. In 1997, ASTM E 380 was replaced by IEEE/ASTM SI 10. The new standard was developed and is maintained by professional industrial organizations, namely the Institute of Electrical and Electronics Engineers (IEEE) and the American Society for Testing and Materials (ASTM; now known as ASTM International). It is approved by the American National Standards Institute as the primary American National Standard on the metric system. Therefore, where the text of this book refers to ASTM E 380, readers are encouraged to use IEEE/ ASTM SI 10 instead. In case of discrepancies or inconsistencies, IEEE/ASTM SI 10 would govern. The United States continues to make progress in implementing the use of SI units for more goods and services. ASCE's Committee on Metrication supports efforts to make a transition to SI as the nation's primary measurement system and to reestablish the U.S. Metric Board, which would support and encourage the use of the metric system. The committee recognizes its leadership responsibility to ensure that all engineers have the resources available to enable them to accurately solve engineering problems using the metric system. CHRISTOPHER M. STONE, P.E., F.NSPE, F.USMA Member, ASCE Committee on Metrication Chair, Certified Metric Specialist Program, U.S. Metric Association Preface to First Edition Intended for the use of practicing engineers and students who are already knowledgeable in the area of engineering principles, this book is meant to be of assistance in applying such knowledge to the solution of typical problems but stated in terms of SI units. Therefore it is anticipated that the reader will understand and observe in each instance the limitations, if any, of the engineering principles and procedures involved. Examples presented refer, in general, to common or average conditions; the objective in particular is to illustrate, in the most direct manner possible, the essential points to be observed in the utilization of SI. Since this book treats engineering principles broadly, it is not designed to supplant standard texts or references on specific topics which should, of course, be consulted for further interpretation of theoretical back- ground as needed. A key factor in the successful use of this book, however, will be found in the emphasis on unit check-outs at intermediate and final solution points in the computations. In addition to assuring consistency in the usage of SI, the unit check-out process will rapidly increase the reader's comprehension of SI as a highly desirable and coherent system for engineering work. As will be noted, top priority is given to the demonstration of SI as a new measurement system. Thus, the following outline of problem solving procedure is recom- mended: (1) Select an applicable equation for conditions presented, and write it down, using appropriate physical quantity symbols; (2) To the right of this equation make a separate unit check-out using appropriate SI unit symbols; (3) Substitute numbers, in SI terms, for the given magnitudes of physical quantities in the equation; ix
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