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SCHAUM'S OUTLINE OF
THEORY AND PROBLEMS
OF
STRENGTH OF MATERIALS
Fourth Edition
WILLIAM A. NASH, Ph.D. Professor of Civil Engineering
University of Massachusetts
SCHAUM'S OUTLINE SERIES McGRAW-HILL
New York San Francisco Washington, D.C Auckland Bogota Caracas Lisbon London Madrid Mexico City Milan Monrreal New Delhi
San Juan Singapore Sydney Tokyo Toronto
This book is dedicated by the author to his parents, William A . Nash and Rose Nash, for their years of patient guidance toward his career.
WILLIAM A. NASH is Professor of Civil Engineering at the University -0f Massachusetts. Amherst. He received his B.S. and M.S. from the Illinois Institute of Technology and his Ph.D. from the University of Michigan. He served as Structural Research Engineer at the David Taylor Research Center of the Navy Department in Washington. D.C., and was a f~ulty member at the University of Aorida for 13 years prior to his present affiliation. He has had extensive consulting experience with the U.S. Air Force. the U.S. Navy Department, Lockheed Aerospace Corp., and the General Electric Co. His special areas of interest are structural dynamics and structural stability.
Sdlaum's Outline of Theory and Problems of STRENGTII OF MATERIALS
Copyrighl 1998. 1994. 1972 by The McGraw-Hill Companies. Inc. All rights reserved. Printed in the United States of America. Except as permitted under the Copyright Act of 1976. no part of this publication may be reproduced or distributed in any forms or by any means. or stored in a data base or retrieval system. without the prior written permission of the publisher.
I 2 3 4 S 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 PRS PRS 9 0 2 I 0 9 8
ISBN 0-07-046617-3
Sponsoring Editor: Barbara Gilson Production Supervisor: Pamela Pelton Editing Supervisor: Maureen B. Walker Project Supervision: Keyword Publishing Services Ltd Libnry of Congress Catalogin&-'nPublication Oaaa
Nash, William A. Schaum 's outhne of theory and problems of slrength of materials I
William A. Nash. - 4th ed. p. cm. - (Schaurn 's outline series)
includes index. ISBN 0-07-046617-3 I . Strength of materials--Problems, exercises, etc. 2. Strength
of materials--Outlines, syllabi, etc. I. Title. TA407.4.N37 1998 620.l '12--dc21 98-28410
McGraw-Hill ~,., l>