Sukhvarsh Jerath

Structural Stability Theory and Practice (eBook, ePUB)

Buckling of Columns, Beams, Plates, and Shells

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 672
• Erscheinungstermin: 8. Dezember 2020
• Englisch
• ISBN-13: 9781119694496
• Artikelnr.: 60739468

Autorenporträt

SUKHVARSH JERATH, PH.D., P.E., F.ASCE, is Professor Emeritus of Civil Engineering at the University of North Dakota. Dr. Jerath has over 40 years of experience teaching and researching structural design and analysis, structural mechanics, and properties of civil engineering materials. He is a fellow of the American Society of Civil Engineers and a member of the ASME and ASEE.

Inhaltsangabe

Foreword xvii

Preface xix

About the Companion Website xxiii

1 Structural Stability 1

1.1 Introduction 1

1.2 General Concepts 2

1.2.1 Bifurcation of Equilibrium 3

1.2.2 Limit Load Instability 4

1.2.3 Finite Disturbance Instability 4

1.3 Rigid Bar Columns 5

1.3.1 Rigid Bar Supported by a Translational Spring 5

1.3.1.1 The Displaced Shape Equilibrium Method 5

1.3.1.2 The Energy Method 6

1.3.2 Two Rigid Bars Connected by Rotational Springs 8

1.3.2.1 The Displaced Shape Equilibrium Method 8

1.3.2.2 The Energy Method 9

1.3.3 Three-Member Truss 11

1.3.3.1 The Energy Method 11

1.3.4 Three Rigid Bars with Two Linear Springs 13

1.3.4.1 The Displaced Shape Equilibrium Method 13

1.3.4.2 The Energy Method 15

1.4 Large Displacement Analysis 17

1.4.1 Rigid Bar Supported by a Translational Spring 17

1.4.1.1 The Displaced Shape Equilibrium Method 17

1.4.1.2 The Energy Method 17

1.4.2 Rigid Bar Supported by Translational and Rotational Springs 19

1.4.2.1 The Displaced Shape Equilibrium Method 19

1.4.2.2 The Energy Method 20

1.4.3 Two Rigid Bars Connected by Rotational Springs 22

1.4.3.1 The Energy Method 22

1.5 Imperfections 23

1.5.1 Rigid Bar Supported by a Rotational Spring at the Base 23

1.5.1.1 The Displaced Shape Equilibrium Method 23

1.5.1.2 The Energy Method 24

1.5.2 Two Rigid Bars Connected by Rotational Springs 26

1.5.2.1 The Displaced Shape Equilibrium Method 26

1.5.2.2 The Energy Method 26

Problems 28

References 29

2 Columns 31

2.1 General 31

2.2 The Critical Load According to Classical Column Theory 31

2.2.1 Pinned-Pinned Column 32

2.2.2 Fixed-Fixed Column 35

2.2.2.1 Symmetric Mode 35

2.2.2.2 Anti-Symmetric Mode 37

2.2.3 Cantilever Column 39

2.2.4 Fixed-Pinned Column 40

2.3 Effective Length of a Column 42

2.4 Special Cases 43

2.4.1 Pinned-Pinned Column with Intermediate Compressive Force 43

2.4.2 Cantilever Column with Intermediate Compressive Force 46

2.4.2.1 Case 1 49

2.4.2.2 Case 2 49

2.5 Higher-Order Governing Differential Equation 50

2.5.1 Boundary Conditions for Different Supports 52

2.5.1.1 Pinned Support 52

2.5.1.2 Fixed Support 52

2.5.1.3 Free End 52

2.5.1.4 Guided Support 52

2.5.2 Pinned-Pinned Column 52

2.5.3 Cantilever Column 54

2.5.4 Pinned-Guided Column 55

2.6 Continuous Columns 56

2.7 Columns on Elastic Supports 59

2.7.1 Column Pinned at One End and Elastic Support at the Other End 59

2.7.2 Column Fixed at One End and Elastic Support at the Other End 62

2.8 Eccentrically Loaded Columns 64

2.8.1 The Secant Formula 67

2.9 Geometrically Imperfect Columns 68

2.9.1 The Southwell Plot 71

2.10 Large Deflection Theory of Columns 73

2.10.1 Pinned-Pinned Column 73

2.10.2 Cantilever Column 79

2.10.3 Effective Length Approach 82

2.10.3.1 Pinned-Pinned Column 82

2.10.3.2 Cantilever Column 83

2.10.3.3 Fixed-Fixed Column 83

2.10.3.4 Fixed-Pinned Column 83

2.11 Energy Methods 84

2.11.1 Calculus of Variations 84

2.11.2 The Rayleigh-Ritz Method 87

2.11.3 The Galerkin Method 88