Fundamentals of structural stability

The ability of a structural assembly to carry loads and forces determines how stable it will be over time. Viewing structural assemblages as comprising columns, beams, arches, rings, and plates, this book will introduce the student to both a classical and advanced understanding of the mechanical beh...

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Main Authors Simitses, George J., Hodges, Dewey H.
Format eBook Book
LanguageEnglish
Published Burlington, MA ; Tokyo Elsevier Butterworth-Heinemann 2006
Elsevier Science & Technology
Butterworth-Heinemann
Edition1
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Abstract The ability of a structural assembly to carry loads and forces determines how stable it will be over time. Viewing structural assemblages as comprising columns, beams, arches, rings, and plates, this book will introduce the student to both a classical and advanced understanding of the mechanical behavior of such structural systems under load and how modeling the resulting strains can predict the overall future performance-the stability-of that structure. While covering traditional beam theory, the book is more focused on elastica theory in keeping with modern approaches. This text will be an expanded and updated version a similar, previously published book, but with pedagogical improvements and updated analytical methods. This engineering textbook will provide a focused treatment on the study of how structures behave and perform when under stress loading, including plastic deformation and buckling. All advanced engineering students studying engineering mechanics, structural analysis and design, fatigue and failure, and other related subjects need to have this knowledge, and this book will provide it in a thorough and coherent fashion. Written by two of the world's leading engineering professors in this subject area, the pedagogy has been classroom-tested over many years and should find a receptive readership among both students and instructors. * An understandable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace engineering * Covers both static and dynamic loads, for both conservative and nonconservative systems * Emphasizes elastic behavior under loads, including vertical buckling, torsional buckling and nonlinear affects of structural system buckling and stability * Case examples to illustrate real-world applications of Stability Theory.
AbstractList The ability of a structural assembly to carry loads and forces determines how stable it will be over time. Viewing structural assemblages as comprising columns, beams, arches, rings, and plates, this book will introduce the student to both a classical and advanced understanding of the mechanical behavior of such structural systems under load and how modeling the resulting strains can predict the overall future performance—the stability—of that structure. While covering traditional beam theory, the book is more focused on elastica theory in keeping with modern approaches. This text will be an expanded and updated version a similar, previously published book, but with pedagogical improvements and updated analytical methods. This engineering textbook will provide a focused treatment on the study of how structures behave and perform when under stress loading, including plastic deformation and buckling. All advanced engineering students studying engineering mechanics, structural analysis and design, fatigue and failure, and other related subjects need to have this knowledge, and this book will provide it in a thorough and coherent fashion. Written by two of the world’s leading engineering professors in this subject area, the pedagogy has been classroom-tested over many years and should find a receptive readership among both students and instructors. * An understandable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace engineering * Covers both static and dynamic loads, for both conservative and nonconservative systems * Emphasizes elastic behavior under loads, including vertical buckling, torsional buckling and nonlinear affects of structural system buckling and stability * Case examples to illustrate real-world applications of Stability Theory
The ability of a structural assembly to carry loads and forces determines how stable it will be over time. Viewing structural assemblages as comprising columns, beams, arches, rings, and plates, this book will introduce the student to both a classical and advanced understanding of the mechanical behavior of such structural systems under load and how modeling the resulting strains can predict the overall future performance-the stability-of that structure. While covering traditional beam theory, the book is more focused on elastica theory in keeping with modern approaches. This text will be an expanded and updated version a similar, previously published book, but with pedagogical improvements and updated analytical methods. This engineering textbook will provide a focused treatment on the study of how structures behave and perform when under stress loading, including plastic deformation and buckling. All advanced engineering students studying engineering mechanics, structural analysis and design, fatigue and failure, and other related subjects need to have this knowledge, and this book will provide it in a thorough and coherent fashion. Written by two of the world's leading engineering professors in this subject area, the pedagogy has been classroom-tested over many years and should find a receptive readership among both students and instructors. * An understandable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace engineering * Covers both static and dynamic loads, for both conservative and nonconservative systems * Emphasizes elastic behavior under loads, including vertical buckling, torsional buckling and nonlinear affects of structural system buckling and stability * Case examples to illustrate real-world applications of Stability Theory.
The ability of a structural assembly to carry loads and forces determines how stable it will be over time. Viewing structural assemblages as comprising columns, beams, arches, rings, and plates, this book will introduce the student to both a classical and advanced understanding of the mechanical behavior of such structural systems under load and how modeling the resulting strains can predict the overall future performance-the stability-of that structure. While covering traditional beam theory, the book is more focused on elastica theory in keeping with modern approaches. This text will be an expanded and updated version a similar, previously published book, but with pedagogical improvements and updated analytical methods.This engineering textbook will provide a focused treatment on the study of how structures behave and perform when under stress loading, including plastic deformation and buckling. All advanced engineering students studying engineering mechanics, structural analysis and design, fatigue and failure, and other related subjects need to have this knowledge, and this book will provide it in a thorough and coherent fashion. Written by two of the world's leading engineering professors in this subject area, the pedagogy has been classroom-tested over many years and should find a receptive readership among both students and instructors. * An understandable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace engineering* Covers both static and dynamic loads, for both conservative and nonconservative systems* Emphasizes elastic behavior under loads, including vertical buckling, torsional buckling and nonlinear affects of structural system buckling and stability* Case examples to illustrate real-world applications of Stability Theory
Author Hodges, Dewey H.
Simitses, George J.
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Notes Includes bibliographical references and index
Available also in a print ed.
Mode of access: Internet via World Wide Web.
Title from title screen.
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Snippet The ability of a structural assembly to carry loads and forces determines how stable it will be over time. Viewing structural assemblages as comprising...
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SubjectTerms Buckling (Mechanics)
Buckling (Mechanics) -- Textbooks
Structural stability
Structural stability -- Textbooks
Textbooks
SubjectTermsDisplay Buckling (Mechanics) -- Textbooks.
Electronic books.
Structural stability -- Textbooks.
TableOfContents Intro -- copyright -- Contents -- front matter -- Preface -- body -- 1 Introduction and Fundamentals -- 1.1 Motivation -- 1.2 Stability or Instability of Structures -- 1.3 Continuous Deformable Elastic Bodies -- 1.4 Brief Historical Sketch -- 2 Mechanical Stability Models -- 2.1 Model A -- A One-Degree-of-Freedom Model -- 2.2 Model B -- A One-Degree-of-Freedom Model -- 2.3 Model C -- A Two-Degree-of-Freedom Model -- 2.4 Model D -- A Snapthrough Model -- 2.5 Models of Imperfect Geometries -- 2.6 Discussion of the Methods -- 3 Elastic Buckling of Columns -- 3.1 Special Functions -- 3.2 Beam Theory -- 3.3 Buckling of Columns -- 3.4 The Kinetic Approach -- 3.5 Elastically Supported Columns -- 3.6 Critical Spring Stiffness -- 3.7 Elastica Theory for Beams -- 3.8 Buckling of Thin-Walled Beam-Columns -- 4 Buckling of Frames -- 4.1 Beam-Column Theory -- 4.2 Application of Beam-Column Theory to the Buckling of Rotationally Restrained Columns -- 4.3 Rectangular Rigid Frames -- 4.4 The Simply Supported Portal Frame -- 4.5 Alternate Approach -- 4.6 Nonlinear Analysis -- 5 The Energy Criterion and Energy-Based Methods -- 5.1 Remarks on the Energy Criterion -- 5.2 Timoshenko's Method -- 5.3 The Rayleigh-Ritz Method -- 5.4 The Column by the Trefftz Criterion -- 5.5 The Galerkin Method -- 5.6 Some Comments on Koiter's Theory -- 6 Columns on Elastic Foundations -- 6.1 Basic Considerations -- 6.2 The Pinned-Pinned Column -- 6.3 Rayleigh-Ritz Solution -- 6.4 The General Case -- 7 Buckling of Ring and Arches -- 7.1 The Thin Circular Ring -- 7.2 High Circular Arches Under Pressure -- 7.3 Alternate Approach for Rings and Arches -- 7.4 Shallow Arches -- 7.5 The Sinusoidal Pinned Arch -- 7.6 The Low Arch by the Trefftz Criterion -- 7.7 Energy Formulation Based on Geometrically Exact Theory -- 7.8 Alternative Formulation Based on Elastica Theory -- 8 Buckling of Shafts
8.1 Perturbation Equations Governing Buckling -- 8.2 Energy Approach -- 8.3 Application of Forces and Moments-Boundary Conditions -- 8.4 Example Problems -- 9 Lateral-Torsional Buckling of Deep Beams -- 9.1 Pinned-Pinned Beam -- 9.2 Cantilevered Beam Under Bending Moment -- 9.3 Cantilevered Beam Under Transverse Force -- 10 Instabilities Associated with Rotating Beams -- 10.1 Axial Instability of Radial Rods -- 10.2 Buckling of Rotating Radial Beams -- 11 Nonconservative Systems -- 11.1 Preliminary Remarks -- 11.2 Mechanical Follower Force Model -- 11.3 Beck's Column -- 11.4 Leipholz's Column -- 11.5 Cantilevered Shaft Subject to Tangential Torque -- 11.6 Deep Cantilever with Transverse Follower Force at the Tip -- 11.7 Fully Intrinsic Formulation for Beams -- 12 Dynamic Stability -- 12.1 Introduction and Fundamental Concepts -- 12.2 The Total Potential Energy Approach: Concepts and Procedure -- 12.3 Extension of the Dynamic Stability Concept -- 12.4 Behavior of Suddenly Loaded Systems -- 12.5 Simple Mechanical Models -- back matter -- Appendix: Work and Energy-Related Principles and Theorems -- A.1 Strain Energy -- A.2 The Principle of Virtual Displacement or Virtual Work -- A.3 Derivatives of the Principle of Virtual Work -- indices -- Author Index -- Subject Index
Title Fundamentals of structural stability
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