Theory of Arched Structures Strength, Stability, Vibration

Theory of Arched Structures: Strength, Stability, Vibration presents detailed procedures for analytical analysis of the strength, stability, and vibration of arched structures of different types, using exact analytical methods of classical structural anal

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Igor A. Karnovsky

Theory of Arched Structures Strength, Stability, Vibration

Igor A. Karnovsky Northview Pl 811 V3J 3R4 Coquitlam Canada [email protected]

ISBN 978-1-4614-0468-2 e-ISBN 978-1-4614-0469-9 DOI 10.1007/978-1-4614-0469-9 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011937582 # Springer Science+Business Media, LLC 2012

All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

In memory of Prof. Anatoly B. Morgaevsky

Preface

In modern engineering, as a basis of construction, arches have a diverse range of applications. Today the theory of arches has reached a level that is suitable for most engineering applications. Many methods pertaining to arch analysis can be found in scientific literature. However, most of this material is published in highly specialized journals, obscure manuals, and inaccessible books. This is not surprising, as the intensive development of arch theory, particularly stability and vibration have mostly occurred in the 1940s to the 1960s. Therefore, most engineers lack the opportunity to utilize these developments in their practice. The author has committed to the goal of presenting a book which encompasses essential and tested methods on fundamental methods of arch analysis and equally important problems. The objective of the Book is to provide to readers with detailed procedures for analysis of the strength, stability, and vibration of various types of arched structures, using exact analytical methods of classical Structural Analysis.

In 2004, professor L.A. Godoy published the article “Arches: A Neglected Topic in Structural Analysis Courses.” This in-depth investigation highlights a deep rift between the modern level of development of arch theory and the level of presentation of this theory in existing material on structural analysis. In 2009, the author of this book, with co-author O. Lebed published the textbook “Advanced Methods of Structural Analysis” (Springer), in which arch theory is presented in a much greater depth and volume than in existing textbooks. However, the issue of producing a single book which covers both general and specialized problems of arches remained unsolved. The book presented here sheds light on issues of strength, stability, and vibrations, as wel