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Stability Theory and Its Applications to Structural Mechanics

Author: Clive L. Dym

Publisher: Springer

Published: 1974-08-27

Total Pages: 208

ISBN-13:

Self-contained text focuses on Koiter postbuckling analyses, with mathematical notions of stability of motion. Basing minimum energy principles for static stability upon dynamic concepts of stability of motion, it develops asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches. 1974 edition.

Structural Stability Theory and Practice

Author: Sukhvarsh Jerath

Publisher: John Wiley & Sons

Published: 2020-12-08

Total Pages: 674

ISBN-13: 1119694493

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Discover the theory of structural stability and its applications in crucial areas in engineering Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shells combines necessary information on structural stability into a single, comprehensive resource suitable for practicing engineers and students alike. Written in both US and SI units, this invaluable guide is perfect for readers within and outside of the US. Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shell offers: Detailed and patiently developed mathematical derivations and thorough explanations Energy methods that are incorporated throughout the chapters Connections between theory, design specifications and solutions The latest codes and standards from the American Institute of Steel Construction (AISC), Canadian Standards Association (CSA), Australian Standards (SAA), Structural Stability Research Council (SSRC), and Eurocode 3 Solved and unsolved practice-oriented problems in every chapter, with a solutions manual for unsolved problems included for instructors Ideal for practicing professionals in civil, mechanical, and aerospace engineering, as well as upper-level undergraduates and graduate students in structural engineering courses, Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shell provides readers with detailed mathematical derivations along with thorough explanations and practical examples.

Fundamentals of Structural Stability

Author: George Simitses

Publisher: Butterworth-Heinemann

Published: 2006-01-03

Total Pages: 403

ISBN-13: 0750678755

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An understanable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace.

Principles of Structural Stability Theory

Author: Alexander Chajes

Publisher: Prentice Hall

Published: 1974

Total Pages: 360

ISBN-13:

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Stability of Structures

Author: Z. P. Ba?ant

Publisher: World Scientific

Published: 2010

Total Pages: 1039

ISBN-13: 9814317020

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A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering. This text of unparalleled scope presents a comprehensive exposition of the principles and applications of stability analysis. It has been proven as a text for introductory courses and various advanced courses for graduate students. It is also prized as an exhaustive reference for engineers and researchers. The authors' focus on understanding of the basic principles rather than excessive detailed solutions, and their treatment of each subject proceed from simple examples to general concepts and rigorous formulations. All the results are derived using as simple mathematics as possible. Numerous examples are given and 700 exercise problems help in attaining a firm grasp of this central aspect of solid mechanics. The book is an unabridged republication of the 1991 edition by Oxford University Press and the 2003 edition by Dover, updated with 18 pages of end notes.

Mechanics of Structural Elements

Author: Vladimir Slivker

Publisher: Springer Science & Business Media

Published: 2006-12-18

Total Pages: 787

ISBN-13: 3540447210

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The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics.

Structural Stability of Steel

Author: Theodore V. Galambos

Publisher: John Wiley & Sons

Published: 2008-04-18

Total Pages: 386

ISBN-13: 0470037784

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Practical guide to structural stability theory for the design of safe steel structures Not only does this book provide readers with a solid foundation in structural stability theory, it also offers them a practical, working knowledge of how this theory translates into design specifications for safe steel structures. Structural Stability of Steel features detailed discussions of the elastic and inelastic stability of steel columns, beams, beam-columns, and frames alongside numerous worked examples. For each type of structural member or system, the authors set forth recommended design rules with clear explanations of how they were derived. Following an introduction to the principles of stability theory, the book covers: * Stability of axially loaded planar elastic systems * Tangent-modulus, reduced-modulus, and maximum strength theories * Elastic and inelastic stability limits of planar beam-columns * Elastic and inelastic instability of planar frames * Out-of-plane, lateral-torsional buckling of beams, columns, and beam-columns The final two chapters focus on the application of stability theory to the practical design of steel structures, with special emphasis on examples based on the 2005 Specification for Structural Steel Buildings of the American Institute of Steel Construction. Problem sets at the end of each chapter enable readers to put their newfound knowledge into practice by solving actual instability problems. With its clear logical progression from theory to design implementation, this book is an ideal textbook for upper-level undergraduates and graduate students in structural engineering. Practicing engineers should also turn to this book for expert assistance in investigating and solving a myriad of stability problems.

Multiparameter Stability Theory with Mechanical Applications

Author: Alexander P. Seyranian

Publisher: World Scientific

Published: 2003

Total Pages: 421

ISBN-13: 9812384065

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This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects of nonconservative stability problems, analysis of singularities of boundaries for the stability domains, stability analysis of multiparameter linear periodic systems, and optimization of structures under stability constraints. Systems with finite degrees of freedom and with continuous models are both considered. The book combines mathematical foundation with interesting classical and modern mechanical problems.A number of mechanical problems illustrating how bifurcations and singularities change the behavior of systems and lead to new physical phenomena are discussed. Among these problems, the authors consider systems of rotating bodies, tubes conveying fluid, elastic columns under the action of periodic and follower forces, optimization problems for conservative systems, etc. The methods presented are constructive and easy to implement in computer programs.This book is addressed to graduate students, academics, researchers, and practitioners in aerospace, naval, civil, and mechanical engineering. No special background is needed; just a basic knowledge of mathematics and mechanics.

Structural Stability

Author: Wai-Kai Chen

Publisher: Prentice Hall

Published: 1987

Total Pages: 0

ISBN-13: 9780135005392

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Structural Stability: Theory and Implementation is a practical work that provides engineers and students in structural engineering or structured mechanics with the background needed to make the transition from fundamental theory to practical design rules and computer implementation. Beginning with the basic principles of structural stability and basic governing equations, Structural Stability is a concise and comprehensive introduction that applies the principles and theory of structural stability (which are the basis for structural steel design) to the solution of practical building frame design problems. Special features include: modern theories of structural stability of members and frames, and a discussion of how these theories may be utilized to provide design rules and calculation techniques for design important governing equations and the classical solutions used in design processes examples of analytical and numerical methods selected as the most useful and practically applicable methods available detailed information on the stability design rules of the 1986 AISC/LRFD Specifications for the design, fabrication, and erection of structural steel for buildings dual units (SI and English) with most of the material presented in a non-dimensional format fully worked examples, end-of-chapter problems, answers to selected problems, and clear illustrations and tables Am outstandingly practical resource, Structural Stability offers the reader an understanding of the fundamental principles and theory of structural stability not only in an idealized, perfectly elastic system, but also in an inelastic, imperfect system representative of the actual structural systems encountered in engineering practice.

Energy and Finite Element Methods in Structural Mechanics

Author: IrvingH Shames

Publisher: Routledge

Published: 2018-05-08

Total Pages: 417

ISBN-13: 1351451456

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THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.