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P R O B A B I L I S T I C STRUCTURAL MECHANICS HANDBOOK

P R O B A B I L I S T IC STRUCTURAL MECHANICS HANDBOOK THEORY AND INDUSTRIAL APPLICATIONS EDITED BY C. (RAJ) S U N D A R A R A J A N, PH.D. CONSULTAN T HOUSTON, TEXAS SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.

Cover design: Trudi Gershenov Copyright 1995 By Springer Science+Business Media Dordrecht Originally published by Chapman & Hall in 1995 Softcover reprint of the hardcover 1st edition 1995 l(t)p The ITP logo is a trademark under license All rights reserved. No part of this book covered by the copyright hereon may be reproduced or used in any form or by any means-graphic, electronic, or mechanical, including photocopying, recording, taping, or information storage and retrieval systems-without the written permission of the publisher. 12345678910 XXX 01 00 99 98 97 96 95 Library of Congress Catloging-in-Publication Data Sundararajan, C. Probabilistic structural mechanics handbook/c. Sundararajan. p. cm. Includes bibliographical references and index. ISBN 978-1-4613-5713-1 ISBN 978-1-4615-1771-9 (ebook) DOI 10.1007/978-1-4615-1771-9 1. Structural stability-statistical methods. 2. Stuctural dynamics-statistical methods. 3. Probabilities. 1. Title. TA656.S86 1994 624. 17-dc20 94-18578 CIP British Library Cataloguing in Publication Data available

CONTENTS Preface Contributors 1. Introduction 2. Stress-Strength Interference Method c. SUNDARARAJAN AND F. 1. WIlT 3. First-Order and Second-Order Reliability Methods A. HALDAR AND S. MAHADEV AN 4. Simulation-Based Reliability Methods B. M. AYYUB AND R. H. MCCUEN 5. Probabilistic Finite Element Method w. Ie. UU, T. BELYTSCHKO, AND Y. J. LUA 6. Probabilistic Fracture Mechanics D. O. HARRIS 7. Probabilistic Fatigue Analysis P. H. WIRSCHING 8. Probabilistic Analysis of Structural Systems F. MOSES 9. Probabilistic Structural Mechanics in System and Plant Risk Assessment c. SUNDARARAJAN AND T. V. VO viii ix 1 B 27 53 70 106 146 166 1BB v

vi Contents 10. Human Errors and Structural Reliability 211 R. E. MELCHERS 11. Nondestructive Examination Reliability 238 F. A. SIMONEN 12. Expert opinion in Probabilistic Structural Mechanics 261 c. SUNDARARAJAN 13. Fuzzy Sets in Probabilistic Structural Mechanics 280 F. c. HADIPRIONO 14. Neural Networks in Probabilistic Structural Mechanics 317 o. J. v. CHAPMAN AND A. D. CROSSLAND 15. Probability-Based Design Codes 331 A. S. NOVAK AND N. C. UND 16. Reliability-Based Optimum Structural Design 352 D. M. FRANGOPOL 17. Risk-Based Inspection and Main.tenance 388 T. v. VO AND K. R. BALKEY 18. Probability-Based Life Prediction 416 B. M. AYYUB AND G. J. WHITE 19. Seismic Risk Assessment 429 M. K. RA VINDRA 20. Extreme-Wind Risk Assessment 465 L. A. 1WISDALE AND P. J. VICKERY 21. Applications in Nuclear Power Plant Structures 510 w. s. LAPAY 22. Applications in Pressure Vessels and Piping 534 B. A. BISHOP AND D. O. HARRIS 23. Applications in Aircraft Structures 558 H. SMITH, JR. 24. Applications in Ship Structures 575 G. J. WHITE, B. M. AYYUB, E. NIKOLAIDIS AND o. F. HUGHES 25. Applications in Offshore Structures 608 R. SKJONG 26. Applications in Bridges 640 P. JOHNSON AND B. M. AYYUB

Contents vii 27. Applications in Steel Structures 650 P. MAREK 28. Applications in Concrete Structures 663 A. SCANLON 29. Applications in Timber Structures 684 w. M. BULLEIT 30. Applications in Ceramic Structures 707 w. MiiILER, R. RAMME, AND A. c. BORNHAUSER Index 737

PREFACE The need for a comprehensive book on probabilistic structural mechanics that brings together the many analytical and computational methods developed over the years and their applications in a wide spectrum of industries-from residential buildings to nuclear power plants, from bridges to pressure vessels, from steel structures to ceramic structures-became evident from the many discussions the editor had with practising engineers, researchers and professors. Because no single individual has the expertise to write a book with such a di.verse scope, a group of 39 authors from universities, research laboratories, and industries from six countries in three continents was invited to write 30 chapters covering the various aspects of probabilistic structural mechanics. The editor and the authors believe that this handbook will serve as a reference text to practicing engineers, teachers, students and researchers. It may also be used as a textbook for graduate-level courses in probabilistic structural mechanics. The editor wishes to thank the chapter authors for their contributions. This handbook would not have been a reality without their collaboration. viii

CONTRIBUTORS Professor Bilal M. Ayyub University of Maryland College Park, MD 20742 Mr. Kenneth R. Balkey Nuclear Technology Division Westinghouse Electric Corporation Pittsburgh, PA 15230-0355 Professor Ted Belytschko Department of Mechanical Engineering Northwestern University Evanston, IL 60208 Mr. Bruce A. Bishop Nuclear Technology Division Westinghouse Electric Corporation Pittsburgh, PA 15230-0355 Dr. A. C. Bornhauser Zentralabteilung Produktion und Logistik Siemens AG 13629 Berlin, Germany Professor W. M. Bulleit Department of Civil and Environmental Engineering Michigan Technological University Houghton, MI 49931 Mr. O. J. V. Chapman Rolls-Royce and Associates Derby, England DE2 8BJ Dr. A. D. Crossland Rolls-Royce and Associates Derby, England DE2 8BJ Professor Dan M. Frangopol Department of Civil, Environmental, and Architectural Engineering University of Colorado at Boulder Boulder, CO 80309-0428 Professor Fabian C. Hadipriono Ohio State University Columbus, OH 43210 Professor Achintya Haldar and Engineering Mechanics University of Arizona Tucson, ~ 85721 Dr. David O. Harris Engineering Mechanics Technology, Inc. San Jose, CA 95129 ix

x Contributors Professor Owen F. Hughes Department of Aerospace and Ocean Engineerin~ Virginia Polytechnic Institute and State University Blacksburg, VA 24061 Professor P. Johnson University of Maryland College Park, MD 20742 Dr. William Stephen LaPay Nuclear Technology Division Westinghouse Electric Corporation Pittsburgh, PA 15230-0355 Professor N. C. Lind Department of Mechanical Engineering University of Victoria Victoria, British Columbia V8W 3P6, Canada Professor W. K. Liu Department of Mechanical Engineering Northwestern University Evanston, IL 60208 Dr. Y. J. Lua Applied Research Associates, Inc. Raleigh, NC 27615 Professor S. Mahadevan Vanderbilt University Nashville, TN 37203 Professor Pavel Marek and Applied Mechanics San Jose State University San Jose, CA 95192 Professor Richard H. McCuen University of Maryland College Park, MD 20742 Professor Robert E. Melchers and Survt:ying The University of Newcastle Newcastle, N.S.W. 2308, Australia Professor Fred Moses University of Pittsburgh Pittsburgh, PA 15261 Dr. Wolfgang Muller Laboratory for Technical Mechanics University of Paderborn 33098 Paderborn, Germany Professor E. Nikolaidis Department of Aerospace & Ocean Engineering Virginia Polytechnic Institute and State University Blacksburg, VA 24061 Professor A. S. Nowak Department of Civil and Environmental Engineering University of Michigan Ann Arbor, MI 48109 Dr. R. Ramme Zentralabteilung Produktion und Logistik Siemens AG 13629 Berlin, Germany Dr. M. K. Ravindra EQE International, Inc. Irvine, CA 92715 Professor Andrew Scanlon Department of Civil and Environmental Engineering Pennsylvania State University University Park, PA 16802 Dr. F. A. Simonen Pacific Northwest Laboratory* Richland, WA 99352 Dr. Rolf Skjong Det Norske Veritas Research N-1322 Hovik, Norway Pacific Northwest Laboratory is operated by Battelle Memorial Institute for the U.S. Department of Energy under Contract DE-AC06-76RLO 1830.

Contributors xi Dr. Herb Smith, Jr. McDonnel Douglas Aerospace-East McDonnel Douglas Corporation St. Louis, MO 63166 Dr. C. Sundararajan Consultant Houston, TX 77396 Dr. Lawrence A. 1Wisdale Applied Research Associates, Inc. Raleigh, NC 27615 Dr. P. J. Vickery Applied Research Associates, Inc. Raleigh, NC 27615 Professor G. J. White Department of Naval Architecture, Ocean and Marine Engineering U.S. Naval Academy Annapolis, MD 21012 Professor Paul H. Wirsching Department of Aerospace and Mechanical Engineering University of Arizona Tucson,~ 85721 Mr. F. Joel Witt Consultant Greensburg, PA 15601 Dr. Truong V. Vo Pacific Northwest Laboratory* Richland, WA 99352 *Pacific Northwest Laboratory is operated by Battelle Memorial Institute for the U.S. Department of Energy under Contract DE-AC06-76RLO 1830.

PROBABILISTIC STRUCTURAL MECHANICS HANDBOOK