Chapter 1 Introduction

1.1 Types of Instability

1.2 Methods of Stability Analysis

1.3 Stability of PerfeCt Mechanical Models

1.4 Stability of Imperfect Mechanical Models

1.5 Stability of Snap-Through Mechanical Model

1.6 Mechanical Properties of Structural Steel

1.7 Residual Stress Distributions in Steel Members

1.8 Behavior and Steel Structure Design

Problem

References

Chapter 2 Flexural Buckling of Centrally Compressed Members

2.1 Introduction

2.2 Elastic Flexural Buckling of Centrally Compressed Members

2.3 Centrally Compressed Members with End Restrain

2.4 Effective Length Factors of Centrally Compressed Members

2.5 Elastic Large Deflection Analysis of Centrally Compressed Members

2.6 Effect of Initial Geometrical Imperfections on Centrally Compressed Members

2.7 Inelastic Flexural Buckling of Centrally Compressed Members

2.8 Effect of Residual Stresses on Centrally Compressed Members

2.9 Application of Stability Theory of Centrally Compressed Members on Steel Structure Design

Problems

References

Chapter 3 In-Plane Stability of Beam-Columns

3.1 Introduction

3.2 Deformations and Internal Forces of Simply Supported Elastic Beam-Columns under Transverse Loads

3.3 Deformations and Internal Forces of Fixed Ended Elastic Beam-Colunms under Transverse Loads

3.4 Deformations and Internal Forces of Elastic Beam-Column under end Moments

3.5 Equivalent Moment and Equivalent Moment Factor of Beam-Column

3.6 Slope-Deflection Equations of Elastic Beam-Column without Sway

3.7 Slope-Deflection Equations of Elastic Beam-Column with Sway

3.8 Slope-Deflection Equations of Elastic Beam-Column under Transverse Loads

3.9 In-Plane Ultimate Load of Beam-Column

3.10 Application of In-Plane Stability Theory of Beam-Columns on Steel Structure Design

3.11 Further Investigations of In-Plane Strength of Non-Sway Beam-Columns

Problems

References

Chapter 4 In-Plane Stability of Frames

4.1 Types of Instability of Frames

4.2 Elastic Buckling Loads of Frames by Equilibrium Method

4 3 Elastic Buckling Loads of Frames by Slope-Deflection Method

4.4 Elastic Buckling of Multi-Story Frames

4.5 Elastic Buckling Loads of Multistory Frames by Approximate Method

4.6 Stability of Frames under Primary Bending Moment

4.7 Elastic-Plastic Stability of Frames

4.8 Ultimate Loads of Sway Frames

4.9 Application of Stability Theory of Frames on Steel Structure Design

4.10 Overall Design Method of In-Plane Stability of Frame—Direct Analysis（Advanced Analysis）Method

4.11 Moment Rotation Curves of Beam-to-Column Connections and Design of Semi-Rigid Frames

4.12 Overall In-Plane Buckling of Single-Story Multi-Bay Pitched-Roof Frames

Problems

References

Chapter 5 Approximate Methods of Stability Analysis

5.1 Introduction

5.2 Principle of Energy Conservation

5.3 Principle of Stationary Value of Potential Energy and Principle of Minimum Potential Energy

5.4 Rayleigh-Ritz Method

5.5 Galerkin Method

5.6 Finite Difference Method

5.7 Finite Integral Method

5.8 Finite Element Method

5.9 Using Finite Element Method to Determine Effective Length Factors of The Unbraced Tapered Portal Framed Column

Problems

References

Chapter 6 Torsional Buckling and Flexural-Torsional Buckling of Compression Members

6.1 Introduction

6.2 Shear Center of Thin-Walled Open Section Members

6.3 Torsion of Thin-Walled Open Section Members

6.4 Elastic Torsional Buckling of Centrally Compressed Members

6.5 Elastic-Plastic Torsional Buckleng of Centrally Compressed Members

6.6 Elastic Flexural-Torsional Buckling of Centrally Compressed Members

6.7 Elastic-Plastic Flexural-Torsional Buckling of Centrally Compressed Members

6.8 Application of Torsional and Flexural-Torsional Buckling Theories of Centrally Compressed Members on Steel Structure Design

Problem

References

Appendix-Derivations of Ixf,Iyf,Ixyf,Ix,Iy,and ωfor Sloping Lipped Channel

Chapter 7 Flexural-Torsional Buckling of Beams

7.1 Introduction

7.2 Elastic Flexural-Torsional Buckling of Beams under Uniform Bending

7.3 Beams under Unequal end Moments

7.4 Beams under Transverse Loads

7.5 Elastic Flexural-Torsional Buckling of Beams with Varying Cross-Section

7.6 Elastic-Plastic Flexural-Torsional Buckling of Beams

7.7 Application of Flexural-Torsional Buckling Theory of Beams on Steel Structure Design

7.8 Ultimate Capacities and Design Formulas of Biaxial Bending Beams

7.9 Single Angle Flexural Members

Problems

References

Chapter 8 Flexural-Torsional Buckling of Beam-Columns

8.1 Introduction

8.2 Flexural-Torsional Buckling of Beam-Column by Energy Method

8.3 Elastic-Plastic Flexural-Torsional Buckling of Beam-Column

8.4 Application of Flexural-Torsional Buckling Theories of Beam-Columns on Steel Design

Problem

References

Chapter 9 Beam-Columns under Biaxial Bending

9.1 Elastic Differential Equilibrium Equations of Beam-Columns under Biaxial Bending

9.2 Flexural-Torsional Buckling Interaction Curves of Uniform Biaxial Bending Beam-Columns

9.3 Application of Biaxial Bending Theory of Beam-Columns for Steel Structural Design

References

Chapter 10 I-Section Beams and Beam-Columns under Bending and Torsion

10.1 Governing Differential Equations of Biaxial Bending Beam with Torsion

10.2 Testing Investigations for Steel Combined Flexure and Torsion of I-Shape Beams

10.3 Design Methodolgyo for Ultimate Limit States and Serviceability limit States

10.4 Summary and Conclusions

References

Chapter 11 Distortional Buckling of Steel I-Section Beams and Beam-Columns

11.1 Distortional Buckling of Steel Bi-Symmetric I-Section Beams

11.2 Theoretical Analysis on Distortional Buckling of Bi-Symmetric I-Section Beams

11.3 Theoretical Analysis on Distortional Buckling of Mono-symmetric I-Section Beams

11.4 Distortional Buckling of Steel Bi-Symmetric I-Section Beam-Columns

References

Chapter 12 Steel Beams with Corrugated Webs

12.1 Introduction

12.2 The Types of Corrugated Web Beams

12.3 Recent Application of Corrugated Steel Web I-Girders in Buildings and Bridges

12.4 A Review on Corrugated Steel Web I-Girder

12.5 Passing Bridges and Buildings with Corrugated Steel Web I-Girder

12.6 Flange Normal Stresses Due to In-Plane Bending

12.7 Shear Strength Capacity of Corrugated Webs I-Girder

12.8 Flexural-Torsional Buckling of Corrugated Webs I-Girder

12.9 Calculate I-Section Properties

12.10 Considering Point Load Height Effects,Determine Moment Modification Factor

12.11 Transplant Theoretical and Pratical Design Method to GB 50017—2014

12.12 Moment Gradient Correction Factor and Inelastic Flexural-Torsional Buckling of I-Girder with Corrugated Steel Webs

12.1 3 Conclusion

References

Chapter 13 Buckling of Thin Plates

13.1 Introduction

13.2 Equilibrium Equations of a Plate by Small Defection Theory

13.3 Elastic Buckling Loads of Simply Supported Plates under Uniform Compression in One Direction

13.4 Elastic Buckling Loads of Plates by Energy Method

13.5 Elastic Buckling of Simply Supported Plates under Non-Uniform Bending

13.6 Elastic Buckling of Simply Supported Plates under Uniform Shear

13.7 Differential Equations of Plates by Large Deflection Theory

13.8 Post-Buckling Strength of Simply Supported Plates under Uniform Compression

13.9 Elastic-Plastic Buckling Analysis of Plates

13.10 Application of Buckling Theory of Plates on Steel Structure Design

13.11 Plate Elements in a Centrally Compressed Member

13.12 Web in Beam and Stability Design of Plate Girder

13.13 Plate Elements in Beam-Columns

13.14 Provisions of Classification and Recommendation for Limit State Design of Steel Structures in Architectural Institute of Japan

13.15 Effective Width of Plate Elements in Cold-Formed Steel Sections

13.16 Design of Axially Loaded Slender Compression Members

13.17 Utilization of Web Post-Buckling Strength in Slender I-Section Beam-Columns

13.18 Buckling Tests on Cold-Formed Hollow Section of Beam-Columns

Problems

References

Chapter 14 Buckling of Cold-Formed Steel Members

14.1 Buckling of Cold-Formed Steel Columns and Beams with Holes

14.2 Global Flexural Buckling of Cold-Formed Steel Perforated Columns

14.3 Flexural-Torsional Buckling of Cold-Formed Steel Perforated Beams

14.4 Distortional Buckling Load of Cold-Formed Steel Perforated Columns and Beams

14.5 Local Buckling Load of Cold-Formed Steel Perforated Columns and Beams

14.6 Cold-Formed web Crippling

14.7 Tests and Design of Cold-Formed Channels under web Crippling

14.8 Behaviour of Stainless Steel Oval Hollow Section（OHS）Members

14.9 Structural Response of Stainless Steel Oval Hollow Section Members under Compression

14.10 Direct Strength Method（DSM）of Cold-Formed Member Design

14.11 Direct Strength Method for Buckling Capacity of Cold-Formed Steel Members with Uniform and Non-Uniform Elevated Temperatures

14.12 Direct Strength Method for Buckling Capacity of Cold-Formed Steel Beams with Uniform and Non-Uniform Elevated Temperature

14.13 Conclusions

14.14 Recent Investigations on Lateral-Torsional Buckling of Beams in Fire

14.15 Lateral-Torsional Buckling Behaviour of Cellular Beams

14.16 Lateral-Torsional Buckling Behaviour of Cellular Beams in Case of Fire

14.17 Conclusions

References

Chapter 15 Buckling of Cylindrical Sheels

15.1 Introduction

15.2 Equilibrium Equations of Cylinderical Shell by Small Deflection Theory

15.3 Elastic Buckling of Cylindrical Sheel under Axial Compression

15.4 Differential Equations on Large Deflection Theory of Cylindrical Shell

15.5 Buckling of Imperfect Cylindrical Shell

15.6 Elastic Buckling of Cylindrical Shell under Uniform Hoop Compression

15.7 Cylindrical Buckling under Combined Axial and Hoop Loadings

15.8 Elastiuc Buckling of Cylindrical Shell under Torsion

15.9 Further Investigations for Imperfect Cylindrical Shells under External Pressure

15.10 Conculusions

References

Answers to Some Selected Problems

APPENDIX A

AUTHOR INDEX

SUBJECT INDEX

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