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.

The accompanying website will include additional fo

Key Features

  •  Balanced presentation for both theory and practice
  • Well-blended contents covering elementary to advanced topics
  • Detailed presentation of the development
  • Computer programs will be made available through the senior author's web page




1 Buckling Of Columns

2 Special Topics in Elastic Stability of Columns

3 Beam-Columns

4 Continuous Beams and Rigid Frames

5 Torsion in Structures

6 Torsional and Flexural-Torsional Buckling

7 Lateral-Torsional Buckling

8 Buckling of Plate Elements

9 Buckling of Thin Cylindrical Shell Elements

10 Buckling of General Shell Elements


Table of Contents



1 Buckling Of Columns

1 1.1 Introduction

1 1.2 Neutral Equilibrium

1.3 Euler Load

1.4 Differential Equations of Beam-columns

1.5 Effects of Boundary Conditions on the Column Strength

1.6 Introduction to Calculations of Variations

1.7 Derivation of Beam-column GDE Using Finite Strain

1.8 Galerkin method

1.9 Continuous Beam Columns Resting on Elastic Supports

1.10 Elastic Buckling of Columns Subjected to Distributed Axial Loads

1.11 Large Deflection Theory (The Elastica)

1.12 Eccentrically Loaded Columns – Secant Formula

1.13 Inelastic Buckling of Straight Columns

1.14 Metric System Units

1.15 General References

2 Special Topics in Elastic Stability of Columns

2.1 Energy Methods

2.2 Stability Criteria

2.3 Rayleigh-Ritz Method

2.4 The Rayleigh Quotient

2.5 Energy Method Applied to Columns Subjected to Distributed Axial Loads

2.6 Elastically Supported Beam-Columns

2.7 Differential Equation Method

2.8 Methods of Successive Approximation

2.9 Matrix Method

2.10 Free Vibration of Columns

2.11 Buckling by a Nonconservative Load

2.12 Self-Adjoint Boundary Value Problems

3 Beam-Columns

3.1 Transversely Loaded Beam Subjected to Axial Compression

3.2 Beam-Columns with Concentrated Lateral Loads

3.3 Beam-Columns with Distributed Lateral Loads

3.4 Effect of Axial Force on Bending Stiffness

3.5 Ultimate Strength of Beam-Columns

3.6 Design of Beam-Columns

4 Continuous Beams and Rigid Frames

4.1 Introduction

4.2 Continuous Beams

4.3 Buckling Modes of Frames

4.4 Critical Loads of Frames

4.5 Stability of Frames by Matrix Analysis

4.6 Second-order Analysis of Frames by Slope-De


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