Apago PDF Enhancer www.net This page intentionally left blank Apago PDF Enhancer www.net bee80288_ifc.indd Page 1 10/26/10 4:39:07 PM user-f499 /Volumes/201/MHDQ251/bee80288_disk1of1/0073380288/bee80288_pagefiles SI Prefixes Multiplication Factor Prefix† Symbol 12 1 000 000 000 000 5 10 tera T 1 000 000 000 5 109 giga G 1 000 000 5 106 mega M 1 000 5 103 kilo k 100 5 102 hecto‡ h 10 5 101 deka‡ da U. Customary Units and Their SI Equivalents 0. Customary Units SI Equivalent 0.000 001 5 1026 micro m Acceleration ft/s2 0.000 000 000 001 5 10212 pico p Area ft2 0.000 000 000 000 000 001 5 10218 atto a Energy ft ? lb 1.448 kN † The first syllable of every prefix is accented so that the prefix will retain its identity.448 N Thus, the preferred pronunciation of kilometer places the accent on the first syllable, not oz 0.448 N ? s ‡ The use of these prefixes should be avoided, except for the measurement of areas and vol- Length ft 0.3048 m umes and for the nontechnical use of centimeter, as for body and clothing measurements.609 km Mass oz mass 28.2 kg Apago PDF Enhancer Moment of a force lb ? ft 1.356 N ? m Principal SI Units Used in Mechanics lb ? in.1130 N ? m Quantity Unit Symbol Formula Moment of inertia Of an area in4 0.4162 3 106 mm4 Acceleration Meter per second squared p m/s2 Of a mass lb ? ft ? s2 1.356 kg ? m2 Angle Radian rad † Power ft ? lb/s 1.356 W Angular acceleration Radian per second squared p rad/s2 hp 745.7 W Angular velocity Radian per second p rad/s Pressure or stress lb/ft2 47.88 Pa Area Square meter p m2 lb/in2 (psi) 6.895 kPa Density Kilogram per cubic meter p kg/m3 Velocity ft/s 0.3048 m/s Energy Joule J N?m in.0254 m/s Force Newton N kg ? m/s2 mi/h (mph) 0.4470 m/s Frequency Hertz Hz s21 mi/h (mph) 1.609 km/h Impulse Newton-second p kg ? m/s Volume, solids ft3 0.02832 m3 Length Meter m ‡ in3 16.39 cm3 Mass Kilogram kg ‡ Liquids gal 3.785 L Moment of a force Newton-meter p N?m qt 0.9464 L Power Watt W J/s Work ft ? lb 1.356 J Pressure Pascal Pa N/m2 Stress Pascal Pa N/m2 Time Second s ‡ Velocity Meter per second p m/s Volume, solids Cubic meter p m3 Liquids Liter L 1023 m3 Work Joule J N?m † Supplementary unit (1 revolution 5 2p rad 5 3608).net ISBN: 0073380288 Front endsheets Author: Beer, Johnston, Dewolf, Color: 4 and Mazurek Pages: 2, 3 Title: MECHANICS OF MATERIALS bee80288_ifc.indd Page 1 10/26/10 4:39:07 PM user-f499 /Volumes/201/MHDQ251/bee80288_disk1of1/0073380288/bee80288_pagefiles SI Prefixes Multiplication Factor Prefix† Symbol 12 1 000 000 000 000 5 10 tera T 1 000 000 000 5 109 giga G 1 000 000 5 106 mega M 1 000 5 103 kilo k 100 5 102 hecto‡ h 10 5 101 deka‡ da U. Customary Units and Their SI Equivalents 0.
Customary Units SI Equivalent 0.000 001 5 1026 micro m Acceleration ft/s2 0.000 000 000 001 5 10212 pico p Area ft2 0.000 000 000 000 000 001 5 10218 atto a Energy ft ? lb 1.448 kN † The first syllable of every prefix is accented so that the prefix will retain its identity.448 N Thus, the preferred pronunciation of kilometer places the accent on the first syllable, not oz 0.448 N ? s ‡ The use of these prefixes should be avoided, except for the measurement of areas and vol- Length ft 0.3048 m umes and for the nontechnical use of centimeter, as for body and clothing measurements.609 km Mass oz mass 28.2 kg Apago PDF Enhancer Moment of a force lb ? ft 1.356 N ? m Principal SI Units Used in Mechanics lb ? in.1130 N ? m Quantity Unit Symbol Formula Moment of inertia Of an area in4 0.4162 3 106 mm4 Acceleration Meter per second squared p m/s2 Of a mass lb ? ft ? s2 1.356 kg ? m2 Angle Radian rad † Power ft ? lb/s 1.356 W Angular acceleration Radian per second squared p rad/s2 hp 745.7 W Angular velocity Radian per second p rad/s Pressure or stress lb/ft2 47.88 Pa Area Square meter p m2 lb/in2 (psi) 6.895 kPa Density Kilogram per cubic meter p kg/m3 Velocity ft/s 0.3048 m/s Energy Joule J N?m in.0254 m/s Force Newton N kg ? m/s2 mi/h (mph) 0.4470 m/s Frequency Hertz Hz s21 mi/h (mph) 1.609 km/h Impulse Newton-second p kg ? m/s Volume, solids ft3 0.02832 m3 Length Meter m ‡ in3 16.39 cm3 Mass Kilogram kg ‡ Liquids gal 3.785 L Moment of a force Newton-meter p N?m qt 0.9464 L Power Watt W J/s Work ft ? lb 1.356 J Pressure Pascal Pa N/m2 Stress Pascal Pa N/m2 Time Second s ‡ Velocity Meter per second p m/s Volume, solids Cubic meter p m3 Liquids Liter L 1023 m3 Work Joule J N?m † Supplementary unit (1 revolution 5 2p rad 5 3608).net ISBN: 0073380288 Front endsheets Author: Beer, Johnston, Dewolf, Color: 4 and Mazurek Pages: 2, 3 Title: MECHANICS OF MATERIALS bee80288_fm_i-xx_1.indd Page i 11/19/10 7:20:16 PM user-f499 /Users/user-f499/Desktop/Temp Work/Don't Delete Job/MHDQ251:Beer:201/fm MECHANICS OF MATERIALS Apago PDF Enhancer www.net This page intentionally left blank Apago PDF Enhancer www.net bee80288_fm_i-xx_1.indd Page iii 11/19/10 7:20:16 PM user-f499 /Users/user-f499/Desktop/Temp Work/Don't Delete Job/MHDQ251:Beer:201/fm SIXTH EDITION MECHANICS OF MATERIALS Ferdinand P. Beer Late of Lehigh University E. Russell Johnston, Jr. Late of University of Connecticut Apago PDF Enhancer John T.
Dewolf University of Connecticut David F. Mazurek United States Coast Guard Academy TM www.net bee80288_fm_i-xx_1.indd Page iv 11/29/10 6:37:55 PM user-f499 /Users/user-f499/Desktop/Temp Work/Don't Delete Job/MHDQ251:Beer:201 TM MECHANICS OF MATERIALS, SIXTH EDITION Published by McGraw-Hill, a business unit of The McGraw-Hill Companies, Inc., 1221 Avenue of the Americas, New York, NY 10020. Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved.
Previous editions © 2009, 2006, and 2002. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent of The McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance learning. Some ancillaries, including electronic and print components, may not be available to customers outside the United States. This book is printed on acid-free paper.
1 2 3 4 5 6 7 8 9 0 QVR/QVR 1 0 9 8 7 6 5 4 3 2 1 ISBN 978-0-07-338028-5 MHID 0-07-338028-8 Vice President, Editor-in-Chief: Marty Lange Vice President, EDP: Kimberly Meriwether David Senior Director of Development: Kristine Tibbetts Global Publisher: Raghothaman Srinivasan Executive Editor: Bill Stenquist Developmental Editor: Lora Neyens Senior Marketing Manager: Curt Reynolds Lead Project Manager: Sheila M. Frank Buyer II: Sherry L. Kane Apago PDF Enhancer Senior Designer: Laurie B. Janssen Cover Designer: Ron Bissell Cover Image: (front) © Ervin Photography, Inc.
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Library of Congress Cataloging-in-Publication Data Mechanics of materials / Ferdinand Beer. ISBN 978-0-07-338028-5 ISBN 0-07-338028-8 (alk. Strength of materials—Textbooks. Beer, Ferdinand Pierre, 1915– TA405.net bee80288_fm_i-xx_1.indd Page v 11/19/10 7:20:17 PM user-f499 /Users/user-f499/Desktop/Temp Work/Don't Delete Job/MHDQ251:Beer:201/fm About the Authors As publishers of the books written by Ferd Beer and Russ John- ston, we are often asked how did they happen to write the books together, with one of them at Lehigh and the other at the University of Connecticut.
The answer to this question is simple. Russ Johnston’s first teach- ing appointment was in the Department of Civil Engineering and Me- chanics at Lehigh University. There he met Ferd Beer, who had joined that department two years earlier and was in charge of the courses in mechanics. Born in France and educated in France and Switzerland (he held an M.
degree from the Sorbonne and an Sc. degree in the field of theoretical mechanics from the University of Geneva), Ferd had come to the United States after serving in the French army during the early part of World War II and had taught for four years at Williams College in the Williams-MIT joint arts and engineering program. Born in Philadelphia, Russ had obtained a B. degree in civil engineering from the University of Delaware and an Sc.
degree in the field of structural engineering from MIT. Ferd was delighted to discover that the young man who had been hired chiefly to teach graduate structural engineering courses Apago PDF Enhancer was not only willing but eager to help him reorganize the mechanics courses. Both believed that these courses should be taught from a few basic principles and that the various concepts involved would be best understood and remembered by the students if they were presented to them in a graphic way. Together they wrote lecture notes in statics and dynamics, to which they later added problems they felt would appeal to future engineers, and soon they produced the manuscript of the first edition of Mechanics for Engineers.
The second edition of Mechanics for Engineers and the first edition of Vector Mechanics for Engineers found Russ Johnston at Worcester Polytechnic Institute and the next editions at the University of Connecticut. In the meantime, both Ferd and Russ had assumed administrative responsibilities in their departments, and both were involved in research, consulting, and supervising graduate students—Ferd in the area of stochastic pro- cesses and random vibrations, and Russ in the area of elastic stability and structural analysis and design. However, their interest in improv- ing the teaching of the basic mechanics courses had not subsided, and they both taught sections of these courses as they kept revising their texts and began writing together the manuscript of the first edition of Mechanics of Materials. Ferd and Russ’s contributions to engineering education earned them a number of honors and awards.
They were presented with the Western Electric Fund Award for excellence in the instruction of en- gineering students by their respective regional sections of the Ameri- can Society for Engineering Education, and they both received the Distinguished Educator Award from the Mechanics Division of the v www.net bee80288_fm_i-xx_1.indd Page vi 11/20/10 3:27:43 PM user-f499 /Users/user-f499/Desktop/Temp Work/Don't Delete Job/MHDQ251:Beer:201/fm vi About the Authors same society. In 1991 Russ received the Outstanding Civil Engineer Award from the Connecticut Section of the American Society of Civil Engineers, and in 1995 Ferd was awarded an honorary Doctor of En- gineering degree by Lehigh University. DeWolf, Professor of Civil Engineering at the University of Connecticut, joined the Beer and Johnston team as an author on the second edition of Mechanics of Materials. de- gree in civil engineering from the University of Hawaii and M.
degrees in structural engineering from Cornell University. His research interests are in the area of elastic stability, bridge monitor- ing, and structural analysis and design. He is a registered Professional Engineering and a member of the Connecticut Board of Professional Engineers. He was selected as the University of Connecticut Teaching Fellow in 2006.
Mazurek, Professor of Civil Engineering at the United States Coast Guard Academy, joined the team in the fourth edition. degree in ocean engineering and an M. degree in civil engineering from the Florida Institute of Technology, and a Ph. degree in civil engineering from the University of Connecticut.
He is a registered Professional Engineer. He has served on the American Railway Engineering & Maintenance of Way Association’s Commit- tee 15—Steel Structures for the past seventeen years.