Stability of structures : principles and applications

Title:

Personal Author:

Yoo, Chai Hong

Publication Information:

Amsterdam ; Boston : Butterworth-Heinemann, c2011

Physical Description:

xi, 523 p. : ill. ; 24 cm.

ISBN:

9780123851222

Subject Term:

Structural stability

Safety factor in engineering

Added Author:

Lee, Sung Chil, 1957-

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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.

Author Notes

Chai H. Yoo, PhD., PE, FASCE, is professor emeritus at Auburn University.
Sung C. Lee is a member of the Department of Civil and Environmental Engineering at Dongguk University in Seoul, Korea.

Preface	p. ix
Authors Biography	p. xi
1 Buckling of Columns	p. 1
1.1 Introduction	p. 1
1.2 Neutral Equilibrium	p. 3
1.3 Euler Load	p. 4
1.4 Differential Equations of Beam-Columns	p. 8
1.5 Effects of Boundary Conditions on the Column Strength	p. 15
1.6 Introduction to Calculus of Variations	p. 18
1.7 Derivation of Beam-Column GDE Using Finite Strain	p. 24
1.8 Galerkin Method	p. 27
1.9 Continuous Beam-Columns Resting on Elastic Supports	p. 29
1.10 Elastic Buckling of Columns Subjected to Distributed Axial Loads	p. 38
1.11 Large Deflection Theory (The Elastica)	p. 44
1.12 Eccentrically Loaded Columns-Secant Formula	p. 52
1.13 Inelastic Buckling of Straight Column	p. 56
1.14 Metric System of Units	p. 66
General References	p. 67
References	p. 68
Problems	p. 69
2 Special Topics in Elastic Stability of Columns	p. 75
2.1 Energy Methods	p. 76
2.2 Stability Criteria	p. 89
2.3 Rayleigh-Ritz Method	p. 92
2.4 The Rayleigh Quotient	p. 95
2.5 Energy Method Applied to Columns Subjected to Distributed Axial Loads	p. 99
2.6 Elastically Supported Beam-Columns	p. 115
2.7 Differential Equation Method	p. 120
2.8 Methods of Successive Approximation	p. 124
2.9 Matrix Method	p. 133
2.10 Free Vibration of Columns under Compressive Loads	p. 138
2.11 Buckling by a Nonconservative Load	p. 142
2.12 Self-Adjoint Boundary Value Problems	p. 146
References	p. 149
Problems	p. 150
3 Beam-Columns	p. 155
3.1 Transversely Loaded Beam Subjected to Axial Compression	p. 155
3.2 Beam-Columns with Concentrated Lateral Loads	p. 161
3.3 Beam-Columns with Distributed Lateral Loads	p. 163
3.4 Effect of Axial Force on Bending Stiffness	p. 164
3.5 Ultimate Strength of Beam-Columns	p. 185
3.6 Design of Beam-Columns	p. 192
References	p. 195
Problems	p. 196
4 Continuous Beams and Rigid Frames	p. 199
4.1 Introduction	p. 199
4.2 Continuous Beams	p. 199
4.3 Buckling Modes of Frames	p. 203
4.4 Critical Loads of Frames	p. 205
4.5 Stability of Frames by Matrix Analysis	p. 216
4.6 Second-order Analysis of a Frame by Slope-Deflection Equations	p. 220
4.7 Effect of Primary Bending and Plasticity on the Behavior of Frames	p. 228
4.8 Stability Design of Frames	p. 230
References	p. 240
Problems	p. 241
5 Torsion in Structures	p. 245
5.1 Introduction	p. 246
5.2 Uniform Torsion and St. Venant Theory	p. 247
5.3 Membrane Analogy	p. 251
5.4 Twisting of Thin Rectangular Bars	p. 253
5.5 Torsion in the Inelastic Range	p. 255
5.6 Torsion in Closed Thin-Walled Cross Sections	p. 260
5.7 Nouniform Torsion of W Shapes	p. 265
5.8 Nonuniform Torsion of Thin-Walled Open Cross Sections	p. 280
5.9 Cross-Section Properties	p. 287
References	p. 298
Problems	p. 298
6 Torsional and Flexural-Torsional Buckling	p. 303
6.1 Introduction	p. 303
6.2 Strain Energy of Torsion	p. 305
6.3 Torsional and Flexural-Torsional Buckling of Columns	p. 307
6.4 Torsional and Flexural-Torsional Buckling under Thrust and End Moments	p. 317
References	p. 325
Problems	p. 326
7 Lateral-Torsional Buckling	p. 327
7.1 Introduction	p. 327
7.2 Differential Equations for Lateral-Torsional Buckling	p. 328
7.3 Generalization of Governing Differential Equations	p. 336
7.4 Lateral-Torsional Buckling for Various Loading and Boundary Conditions	p. 337
7.5 Application of Bessel Function to Lateral-Torsional Buckling Problems	p. 343
7.6 Lateral-Torsional Buckling by Energy Method	p. 347
7.7 Design Simplification for Lateral-Torsional Buckling	p. 362
References	p. 368
Problems	p. 369
8 Buckling of Plate Elements	p. 373
8.1 Introduction	p. 373
8.2 Differential Equation of Plate Buckling	p. 374
8.3 Linear Equations	p. 390
8.4 Application of Plate Stability Equation	p. 401
8.5 Energy Methods	p. 418
8.6 Design Provisions for Local Buckling of Compression Elements	p. 431
8.7 Inelastic Buckling of Plate Elements	p. 432
8.8 Failure of Plate Elements	p. 433
References	p. 434
Problems	p. 437
9 Buckling of Thin Cylindrical Shell Elements	p. 441
9.1 Introduction	p. 441
9.2 Large-Deflection Equations (Donnell Type)	p. 442
9.3 Energy Method	p. 446
9.4 Linear Stability Equations (Donnell Type)	p. 450
9.5 Applications of Linear Buckling Equations	p. 455
9.6 Failure of Cylindrical Shells	p. 465
9.7 Postbuckling of Cylindrical Shells	p. 466
References	p. 472
Problems	p. 473
10 Buckling of General Shell Elements	p. 475
10.1 Introduction	p. 475
10.2 Nonlinear Equilibrium Equations	p. 476
10.3 Linear Stability Equations (Donnell Type)	p. 490
10.4 Applications	p. 498
References	p. 514
Problems	p. 515
Author Index	p. 517
Subject Index	p. 521

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