Preface
Foreword
Notation
Glossary
Chapter 1 Introduction 1
1.1 Types of Instability 1
1.2 Methods of Stability Analysis 6
1.3 Stability of Perfect Mechanical Models 8
1.4 Stability of Imperfect Mechanical Models 18
1.5 Stability of Snap-Through Mechanical Model 22
1.6 Mechanical Properties of Structural Steel 26
1.7 Residual Stress Distributions in Steel Members 32
1.8 Behavior and Steel Structure Design 36
Problem 49
References 51
Chapter 2 Flexural Buckling of Centrally Compressed Members 55
2.1 Introduction 55
2.2 Elastic Flexural Buckling of Centrally Compressed Members 56
2.3 Centrally Compressed Members with End Restrain 57
2.4 Effective Length Factors of Centrally Compressed Members 64
2.5 Elastic Large Deflection Analysis of Centrally Compressed Members 80
2.6 Effect of Initial Geometrical Imperfections on Centrally Compressed Members 84
2.7 Inelastic Flexural Buckling of Centrally Compressed Members 90
2.8 Effect of Residual Stresses on Centrally Compressed Members 99
2.9 Application of Stability Theory of Centrally Compressed
Members on Steel Structure Design 105
Problems 131
References 133
Chapter 3 In-Plane Stability of Beam-Columns 136
3.1 Introduction 136
3.2 Deformations and Internal Forces of Simply Supported Elastic
Beam-Columns under Transverse Loads 138
3.3 Deformations and Internal Forces of Fixed Ended Elastic Beam-Columns
under Transverse Loads 146
3.4 Deformations and Internal Forces of Elastic Beam-Column under
end Moments 151
3.5 Equivalent Moment and Equivalent Moment Factor of Beam-Column 155
3.6 Slope-Deflection Equations of Elastic Beam-Column without Sway 159
3.7 Slope-Deflection Equations of Elastic Beam-Column with Sway 163
3.8 Slope-Deflection Equations of Elastic Beam-Column under Transverse Loads 164
3.9 In-Plane Ultimate Load of Beam-Column 167
3.10 Application of In-Plane Stability Theory of Beam-Columns on
Steel Structure Design 181
3.11 Further Investigations of In-Plane Strength of Non-Sway Beam-Columns 202
Problems 209
References 210
Chapter 4 In-Plane Stability of Frames 213
4.1 Types of Instability of Frames 213
4.2 Elastic Buckling Loads of Frames by Equilibrium Method 216
4.3 Elastic Buckling Loads of Frames by Slope-Deflection Method 220
4.4 Elastic Buckling of Multi-Story Frames 228
4.5 Elastic Buckling Loads of Multistory Frames by Approximate Method 230
4.6 Stability of Frames under Primary Bending Moment 243
4.7 Elastic-Plastic Stability of Frames 249
4.8 Ultimate Loads of Sway Frames 251
4.9 Application of Stability Theory of Frames on Steel Structure Design 268
4.10 Overall Design Method of In-Plane Stability of Frame—Direct
Analysis (Advanced Analysis) Method 300
4.11 Moment Rotation Curves of Beam-to-Column Connections
and Design of Semi-Rigid Frames 318
4.12 Overall In-Plane Buckling of Single-Story Multi-Bay Pitched-Roof Frames 359
Problems 365
References 367
Chapter 5 Approximate Methods of Stability Analysis 372
5.1 Introduction 372
5.2 Principle of Energy Conservation 373
5.3 Principle of Stationary Value of Potential Energy and Principle
of Minimum Potential Energy 377
5.4 Rayleigh-Ritz Method 383
5.5 Galerkin Method 387
5.6 Finite Difference Method 389
5.7 Finite Integral Method 395
5.8 Finite Element Method 402
5.9 Using Finite Element Method to Determine Effective Length
Factors of The Unbraced Tapered Portal Framed Column 414
