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Chapter 1 Introduction1

1.1 Types of Instability1

1.2 Methods of Stability Analysis6

1.3 Stability of PerfeCt Mechanical Models8

1.4 Stability of Imperfect Mechanical Models18

1.5 Stability of Snap-Through Mechanical Model22

1.6 Mechanical Properties of Structural Steel26

1.7 Residual Stress Distributions in Steel Members32

1.8 Behavior and Steel Structure Design36

Problem49

References51

Chapter 2 Flexural Buckling of Centrally Compressed Members55

2.1 Introduction55

2.2 Elastic Flexural Buckling of Centrally Compressed Members56

2.3 Centrally Compressed Members with End Restrain57

2.4 Effective Length Factors of Centrally Compressed Members64

2.5 Elastic Large Deflection Analysis of Centrally Compressed Members80

2.6 Effect of Initial Geometrical Imperfections on Centrally Compressed Members84

2.7 Inelastic Flexural Buckling of Centrally Compressed Members90

2.8 Effect of Residual Stresses on Centrally Compressed Members99

2.9 Application of Stability Theory of Centrally Compressed Members on Steel Structure Design105

Problems131

References133

Chapter 3 In-Plane Stability of Beam-Columns136

3.1 Introduction136

3.2 Deformations and Internal Forces of Simply Supported Elastic Beam-Columns under Transverse Loads138

3.3 Deformations and Internal Forces of Fixed Ended Elastic Beam-Colunms under Transverse Loads146

3.4 Deformations and Internal Forces of Elastic Beam-Column under end Moments151

3.5 Equivalent Moment and Equivalent Moment Factor of Beam-Column155

3.6 Slope-Deflection Equations of Elastic Beam-Column without Sway159

3.7 Slope-Deflection Equations of Elastic Beam-Column with Sway163

3.8 Slope-Deflection Equations of Elastic Beam-Column under Transverse Loads164

3.9 In-Plane Ultimate Load of Beam-Column167

3.10 Application of In-Plane Stability Theory of Beam-Columns on Steel Structure Design181

3.11 Further Investigations of In-Plane Strength of Non-Sway Beam-Columns202

Problems209

References210

Chapter 4 In-Plane Stability of Frames213

4.1 Types of Instability of Frames213

4.2 Elastic Buckling Loads of Frames by Equilibrium Method216

4 3 Elastic Buckling Loads of Frames by Slope-Deflection Method220

4.4 Elastic Buckling of Multi-Story Frames228

4.5 Elastic Buckling Loads of Multistory Frames by Approximate Method230

4.6 Stability of Frames under Primary Bending Moment243

4.7 Elastic-Plastic Stability of Frames249

4.8 Ultimate Loads of Sway Frames251

4.9 Application of Stability Theory of Frames on Steel Structure Design268

4.10 Overall Design Method of In-Plane Stability of Frame—Direct Analysis（Advanced Analysis）Method300

4.11 Moment Rotation Curves of Beam-to-Column Connections and Design of Semi-Rigid Frames318

4.12 Overall In-Plane Buckling of Single-Story Multi-Bay Pitched-Roof Frames359

Problems365

References367

Chapter 5 Approximate Methods of Stability Analysis372

5.1 Introduction372

5.2 Principle of Energy Conservation373

5.3 Principle of Stationary Value of Potential Energy and Principle of Minimum Potential Energy377

5.4 Rayleigh-Ritz Method383

5.5 Galerkin Method387

5.6 Finite Difference Method389

5.7 Finite Integral Method395

5.8 Finite Element Method402

5.9 Using Finite Element Method to Determine Effective Length Factors of The Unbraced Tapered Portal Framed Column414

Problems420

References421

Chapter 6 Torsional Buckling and Flexural-Torsional Buckling of Compression Members422

6.1 Introduction422

6.2 Shear Center of Thin-Walled Open Section Members424

6.3 Torsion of Thin-Walled Open Section Members427

6.4 Elastic Torsional Buckling of Centrally Compressed Members441

6.5 Elastic-Plastic Torsional Buckleng of Centrally Compressed Members451

6.6 Elastic Flexural-Torsional Buckling of Centrally Compressed Members456

6.7 Elastic-Plastic Flexural-Torsional Buckling of Centrally Compressed Members465

6.8 Application of Torsional and Flexural-Torsional Buckling Theories of Centrally Compressed Members on Steel Structure Design473

Problem482

References483

Appendix-Derivations of Ixf,Iyf,Ixyf,Ix,Iy,and ωfor Sloping Lipped Channel484

Chapter 7 Flexural-Torsional Buckling of Beams489

7.1 Introduction489

7.2 Elastic Flexural-Torsional Buckling of Beams under Uniform Bending491

7.3 Beams under Unequal end Moments499

7.4 Beams under Transverse Loads501

7.5 Elastic Flexural-Torsional Buckling of Beams with Varying Cross-Section512

7.6 Elastic-Plastic Flexural-Torsional Buckling of Beams518

7.7 Application of Flexural-Torsional Buckling Theory of Beams on Steel Structure Design526

7.8 Ultimate Capacities and Design Formulas of Biaxial Bending Beams565

7.9 Single Angle Flexural Members575

Problems580

References581

Chapter 8 Flexural-Torsional Buckling of Beam-Columns585

8.1 Introduction585

8.2 Flexural-Torsional Buckling of Beam-Column by Energy Method591

8.3 Elastic-Plastic Flexural-Torsional Buckling of Beam-Column595

8.4 Application of Flexural-Torsional Buckling Theories of Beam-Columns on Steel Design599

Problem607

References608

Chapter 9 Beam-Columns under Biaxial Bending609

9.1 Elastic Differential Equilibrium Equations of Beam-Columns under Biaxial Bending609

9.2 Flexural-Torsional Buckling Interaction Curves of Uniform Biaxial Bending Beam-Columns612

9.3 Application of Biaxial Bending Theory of Beam-Columns for Steel Structural Design615

References623

Chapter 10 I-Section Beams and Beam-Columns under Bending and Torsion625

10.1 Governing Differential Equations of Biaxial Bending Beam with Torsion625

10.2 Testing Investigations for Steel Combined Flexure and Torsion of I-Shape Beams641

10.3 Design Methodolgyo for Ultimate Limit States and Serviceability limit States653

10.4 Summary and Conclusions654

References655

Chapter 11 Distortional Buckling of Steel I-Section Beams and Beam-Columns657

11.1 Distortional Buckling of Steel Bi-Symmetric I-Section Beams657

11.2 Theoretical Analysis on Distortional Buckling of Bi-Symmetric I-Section Beams659

11.3 Theoretical Analysis on Distortional Buckling of Mono-symmetric I-Section Beams661

11.4 Distortional Buckling of Steel Bi-Symmetric I-Section Beam-Columns666

References667

Chapter 12 Steel Beams with Corrugated Webs669

12.1 Introduction669

12.2 The Types of Corrugated Web Beams669

12.3 Recent Application of Corrugated Steel Web I-Girders in Buildings and Bridges669

12.4 A Review on Corrugated Steel Web I-Girder670

12.5 Passing Bridges and Buildings with Corrugated Steel Web I-Girder671

12.6 Flange Normal Stresses Due to In-Plane Bending673

12.7 Shear Strength Capacity of Corrugated Webs I-Girder675

12.8 Flexural-Torsional Buckling of Corrugated Webs I-Girder678

12.9 Calculate I-Section Properties684

12.10 Considering Point Load Height Effects,Determine Moment Modification Factor684

12.11 Transplant Theoretical and Pratical Design Method to GB 50017—2014694

12.12 Moment Gradient Correction Factor and Inelastic Flexural-Torsional Buckling of I-Girder with Corrugated Steel Webs697

12.1 3 Conclusion699

References700

Chapter 13 Buckling of Thin Plates702

13.1 Introduction702

13.2 Equilibrium Equations of a Plate by Small Defection Theory703

13.3 Elastic Buckling Loads of Simply Supported Plates under Uniform Compression in One Direction709

13.4 Elastic Buckling Loads of Plates by Energy Method712

13.5 Elastic Buckling of Simply Supported Plates under Non-Uniform Bending717

13.6 Elastic Buckling of Simply Supported Plates under Uniform Shear720

13.7 Differential Equations of Plates by Large Deflection Theory722

13.8 Post-Buckling Strength of Simply Supported Plates under Uniform Compression727

13.9 Elastic-Plastic Buckling Analysis of Plates733

13.10 Application of Buckling Theory of Plates on Steel Structure Design742

13.11 Plate Elements in a Centrally Compressed Member744

13.12 Web in Beam and Stability Design of Plate Girder752

13.13 Plate Elements in Beam-Columns782

13.14 Provisions of Classification and Recommendation for Limit State Design of Steel Structures in Architectural Institute of Japan792

13.15 Effective Width of Plate Elements in Cold-Formed Steel Sections811

13.16 Design of Axially Loaded Slender Compression Members846

13.17 Utilization of Web Post-Buckling Strength in Slender I-Section Beam-Columns859

13.18 Buckling Tests on Cold-Formed Hollow Section of Beam-Columns869

Problems876

References877

Chapter 14 Buckling of Cold-Formed Steel Members883

14.1 Buckling of Cold-Formed Steel Columns and Beams with Holes883

14.2 Global Flexural Buckling of Cold-Formed Steel Perforated Columns883

14.3 Flexural-Torsional Buckling of Cold-Formed Steel Perforated Beams886

14.4 Distortional Buckling Load of Cold-Formed Steel Perforated Columns and Beams886

14.5 Local Buckling Load of Cold-Formed Steel Perforated Columns and Beams887

14.6 Cold-Formed web Crippling897

14.7 Tests and Design of Cold-Formed Channels under web Crippling898

14.8 Behaviour of Stainless Steel Oval Hollow Section（OHS）Members906

14.9 Structural Response of Stainless Steel Oval Hollow Section Members under Compression908

14.10 Direct Strength Method（DSM）of Cold-Formed Member Design913

14.11 Direct Strength Method for Buckling Capacity of Cold-Formed Steel Members with Uniform and Non-Uniform Elevated Temperatures928

14.12 Direct Strength Method for Buckling Capacity of Cold-Formed Steel Beams with Uniform and Non-Uniform Elevated Temperature936

14.13 Conclusions953

14.14 Recent Investigations on Lateral-Torsional Buckling of Beams in Fire954

14.15 Lateral-Torsional Buckling Behaviour of Cellular Beams960

14.16 Lateral-Torsional Buckling Behaviour of Cellular Beams in Case of Fire977

14.17 Conclusions984

References984

Chapter 15 Buckling of Cylindrical Sheels990

15.1 Introduction990

15.2 Equilibrium Equations of Cylinderical Shell by Small Deflection Theory990

15.3 Elastic Buckling of Cylindrical Sheel under Axial Compression994

15.4 Differential Equations on Large Deflection Theory of Cylindrical Shell996

15.5 Buckling of Imperfect Cylindrical Shell998

15.6 Elastic Buckling of Cylindrical Shell under Uniform Hoop Compression1005

15.7 Cylindrical Buckling under Combined Axial and Hoop Loadings1009

15.8 Elastiuc Buckling of Cylindrical Shell under Torsion1013

15.9 Further Investigations for Imperfect Cylindrical Shells under External Pressure1017

15.10 Conculusions1021

References1022

Answers to Some Selected Problems1025

APPENDIX A1033

AUTHOR INDEX1180

SUBJECT INDEX1188

POSTSCRIPT1200