Yoo / Lee Stability of Structures

Principles and Applications
1. Auflage 2011
ISBN: 978-0-12-385123-9
Verlag: Elsevier Science & Techn.
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, 536 Seiten

The current trend of building more streamlined structures has made stability analysis a subject of extreme importance. It is mostly a safety issue because Stability loss could result in an unimaginable catastrophe. Written by two authors with a combined 80 years of professional and academic experience, the objective of Stability of Structures: Principles and Applications is to provide engineers and architects with a firm grasp of the fundamentals and principles that are essential to performing effective stability analysts. Concise and readable, this guide presents stability analysis within the context of elementary nonlinear flexural analysis, providing a strong foundation for incorporating theory into everyday practice. The first chapter introduces the buckling of columns. It begins with the linear elastic theory and proceeds to include the effects of large deformations and inelastic behavior. In Chapter 2 various approximate methods are illustrated along with the fundamentals of energy methods. The chapter concludes by introducing several special topics, some advanced, that are useful in understanding the physical resistance mechanisms and consistent and rigorous mathematical analysis. Chapters 3 and 4 cover buckling of beam-columns. Chapter 5 presents torsion in structures in some detail, which is one of the least well understood subjects in the entire spectrum of structural mechanics. Strictly speaking, torsion itself does not belong to a topic in structural stability, but needs to be covered to some extent for a better understanding of buckling accompanied with torsional behavior. Chapters 6 and 7 consider stability of framed structures in conjunction with torsional behavior of structures. Chapters 8 to 10 consider buckling of plate elements, cylindrical shells, and general shells. Although the book is primarily devoted to analysis, rudimentary design aspects are discussed. - Balanced presentation for both theory and practice - Well-blended contents covering elementary to advanced topics - Detailed presentation of the development

Autoren/Hrsg.

Yoo, Chai H

Lee, Sung

Inhaltsverzeichnis

1;Front Cover;1
2;Stability of Structures;4
3;Copyright;5
4;Contents;6
5;Preface;10
6;Authors Biography;12
7;Chapter 1 Buckling of Columns;14
7.1;1.1 Introduction;14
7.2;1.2 Neutral Equilibrium;16
7.3;1.3 Euler Load;17
7.4;1.4 Differential Equations of Beam-Columns;21
7.5;1.5 Effects of Boundary Conditions on the Column Strength;28
7.6;1.6 Introduction to Calculus of Variations;31
7.7;1.7 Derivation of Beam-Column GDE Using Finite Strain;37
7.8;1.8 Galerkin Method;40
7.9;1.9 Continuous Beam-Columns Resting on Elastic Supports;42
7.10;1.10 Elastic Buckling of Columns Subjected to Distributed Axial Loads;51
7.11;1.11 Large Deflection Theory (The Elastica);57
7.12;1.12 Eccentrically Loaded Columns—Secant Formula;65
7.13;1.13 Inelastic Buckling of Straight Column;69
7.14;1.14 Metric System of Units;79
7.15;General References;80
7.16;References;81
7.17;Problems;82
8;Chapter 2 Special Topics in Elastic Stability of Columns;88
8.1;2.1 Energy Methods;89
8.2;2.2 Stability Criteria;102
8.3;2.3 Rayleigh-Ritz Method;105
8.4;2.4 The Rayleigh Quotient;108
8.5;2.5 Energy Method Applied to Columns Subjected to Distributed Axial Loads;112
8.6;2.6 Elastically Supported Beam-Columns;128
8.7;2.7 Differential Equation Method;133
8.8;2.8 Methods of Successive Approximation;137
8.9;2.9 Matrix Method;146
8.10;2.10 Free Vibration of Columns Under Compressive Loads;151
8.11;2.11 Buckling by a Nonconservative Load;155
8.12;2.12 Self-Adjoint Boundary Value Problems;159
8.13;References;162
8.14;Problems;163
9;Chapter 3 Beam-Columns;168
9.1;3.1 Transversely Loaded Beam Subjected to Axial Compression;168
9.2;3.2 Beam-Columns with Concentrated Lateral Loads;174
9.3;3.3 Beam-Columns with Distributed Lateral Loads;176
9.4;3.4 Effect of Axial Force on Bending Stiffness;177
9.5;3.5 Ultimate Strength of Beam-Columns;198
9.6;3.6 Design of Beam-Columns;205
9.7;References;208
9.8;Problems;209
10;Chapter 4 Continuous Beams and Rigid Frames;212
10.1;4.1 Introduction;212
10.2;4.2 Continuous Beams;212
10.3;4.3 Buckling Modes of Frames;216
10.4;4.4 Critical Loads of Frames;218
10.5;4.5 Stability of Frames by Matrix Analysis;229
10.6;4.6 Second-Order Analysis of a Frame by Slope-Deflection Equations;233
10.7;4.7 Effect of Primary Bending and Plasticity on the Behavior of Frames;241
10.8;4.8 Stability Design of Frames;243
10.9;References;253
10.10;Problems;254
11;Chapter 5 Torsion in Structures;258
11.1;5.1 Introduction;259
11.2;5.2 Uniform Torsion and St. Venant Theory;260
11.3;5.3 Membrane Analogy;264
11.4;5.4 Twisting of Thin Rectangular Bars;266
11.5;5.5 Torsion in the Inelastic Range;268
11.6;5.6 Torsion in Closed Thin-Walled Cross Sections;273
11.7;5.7 Nonuniform Torsion of W Shapes;278
11.8;5.8 Nonuniform Torsion of Thin-Walled Open Cross Sections;293
11.9;5.9 Cross-Section Properties;300
11.10;References;311
11.11;Problems;311
12;Chapter 6 Torsional and Flexural-Torsional Buckling;316
12.1;6.1 Introduction;316
12.2;6.2 Strain Energy of Torsion;318
12.3;6.3 Torsional and Flexural-Torsional Buckling of Columns;320
12.4;6.4 Torsional and Flexural-Torsional Buckling under Thrust and End Moments;330
12.5;References;338
12.6;Problems;339
13;Chapter 7 Lateral-Torsional Buckling;340
13.1;7.1 Introduction;340
13.2;7.2 Differential Equations for Lateral-Torsional Buckling;341
13.3;7.3 Generalization of Governing Differential Equations;349
13.4;7.4 Lateral-Torsional Buckling for Various Loading and Boundary Conditions;350
13.5;7.5 Application of Bessel Function to Lateral-Torsional Buckling Problems;356
13.6;7.6 Lateral-Torsional Buckling by Energy Method;360
13.7;7.7 Design Simplification for Lateral-Torsional Buckling;375
13.8;References;381
13.9;Problems;382
14;Chapter 8 Buckling of Plate Elements;386
14.1;8.1 Introduction;386
14.2;8.2 Differential Equation of Plate Buckling;387
14.3;8.3 Linear Equations;403
14.4;8.4 Application of Plate Stability Equation;414
14.5;8.5 Energy Methods;431
14.6;8.6 Design Provisions for Local Buckling of Compression Elements;444
14.7;8.7 Inelastic Buckling of Plate Elements;445
14.8;8.8 Failure of Plate Elements;446
14.9;References;447
14.10;Problems;450
15;Chapter 9 Buckling of Thin Cylindrical Shell Elements;454
15.1;9.1 Introduction;454
15.2;9.2 Large-Deflection Equations (Donnell Type);455
15.3;9.3 Energy Method;459
15.4;9.4 Linear Stability Equations (Donnell Type);463
15.5;9.5 Applications of Linear Buckling Equations;468
15.6;9.6 Failure of Cylindrical Shells;478
15.7;9.7 Postbuckling of Cylindrical Shells;479
15.8;References;485
15.9;Problems;486
16;Chapter 10 Buckling of General Shell Elements;488
16.1;10.1 Introduction;488
16.2;10.2 Nonlinear Equilibrium Equations;489
16.3;10.3 Linear Stability Equations (Donnell Type);503
16.4;10.4 Applications;511
16.5;References;527
16.6;Problems;528
17;Author Index;530
18;Subject Index;534