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-Colunms 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
Problems 420
References 421
Chapter 6 Torsional Buckling and Flexural-Torsional Buckling of Compression Members 422
6.1 Introduction 422
6.2 Shear Center of Thin-Walled Open Section Members 424
6.3 Torsion of Thin-Walled Open Section Members 427
6.4 Elastic Torsional Buckling of Centrally Compressed Members 441
6.5 Elastic-Plastic Torsional Buckleng of Centrally Compressed Members 451
6.6 Elastic Flexural-Torsional Buckling of Centrally Compressed Members 456
6.7 Elastic-Plastic Flexural-Torsional Buckling of Centrally Compressed Members 465
6.8 Application of Torsional and Flexural-Torsional Buckling Theories of Centrally Compressed Members on Steel Structure Design 473
Problem 482
References 483
Appendix-Derivations of Ixf,Iyf,Ixyf,Ix,Iy,and ωfor Sloping Lipped Channel 484
Chapter 7 Flexural-Torsional Buckling of Beams 489
7.1 Introduction 489
7.2 Elastic Flexural-Torsional Buckling of Beams under Uniform Bending 491
7.3 Beams under Unequal end Moments 499
7.4 Beams under Transverse Loads 501
7.5 Elastic Flexural-Torsional Buckling of Beams with Varying Cross-Section 512
7.6 Elastic-Plastic Flexural-Torsional Buckling of Beams 518
7.7 Application of Flexural-Torsional Buckling Theory of Beams on Steel Structure Design 526
7.8 Ultimate Capacities and Design Formulas of Biaxial Bending Beams 565
7.9 Single Angle Flexural Members 575
Problems 580
References 581
Chapter 8 Flexural-Torsional Buckling of Beam-Columns 585
8.1 Introduction 585
8.2 Flexural-Torsional Buckling of Beam-Column by Energy Method 591
8.3 Elastic-Plastic Flexural-Torsional Buckling of Beam-Column 595
8.4 Application of Flexural-Torsional Buckling Theories of Beam-Columns on Steel Design 599
Problem 607
References 608
Chapter 9 Beam-Columns under Biaxial Bending 609
9.1 Elastic Differential Equilibrium Equations of Beam-Columns under Biaxial Bending 609
9.2 Flexural-Torsional Buckling Interaction Curves of Uniform Biaxial Bending Beam-Columns 612
9.3 Application of Biaxial Bending Theory of Beam-Columns for Steel Structural Design 615
References 623
Chapter 10 I-Section Beams and Beam-Columns under Bending and Torsion 625
10.1 Governing Differential Equations of Biaxial Bending Beam with Torsion 625
10.2 Testing Investigations for Steel Combined Flexure and Torsion of I-Shape Beams 641
10.3 Design Methodolgyo for Ultimate Limit States and Serviceability limit States 653
10.4 Summary and Conclusions 654
References 655
Chapter 11 Distortional Buckling of Steel I-Section Beams and Beam-Columns 657
11.1 Distortional Buckling of Steel Bi-Symmetric I-Section Beams 657
11.2 Theoretical Analysis on Distortional Buckling of Bi-Symmetric I-Section Beams 659
11.3 Theoretical Analysis on Distortional Buckling of Mono-symmetric I-Section Beams 661
11.4 Distortional Buckling of Steel Bi-Symmetric I-Section Beam-Columns 666
References 667
Chapter 12 Steel Beams with Corrugated Webs 669
12.1 Introduction 669
12.2 The Types of Corrugated Web Beams 669
12.3 Recent Application of Corrugated Steel Web I-Girders in Buildings and Bridges 669
12.4 A Review on Corrugated Steel Web I-Girder 670
12.5 Passing Bridges and Buildings with Corrugated Steel Web I-Girder 671
12.6 Flange Normal Stresses Due to In-Plane Bending 673
12.7 Shear Strength Capacity of Corrugated Webs I-Girder 675
12.8 Flexural-Torsional Buckling of Corrugated Webs I-Girder 678
12.9 Calculate I-Section Properties 684
12.10 Considering Point Load Height Effects,Determine Moment Modification Factor 684
12.11 Transplant Theoretical and Pratical Design Method to GB 50017—2014 694
12.12 Moment Gradient Correction Factor and Inelastic Flexural-Torsional Buckling of I-Girder with Corrugated Steel Webs 697
12.1 3 Conclusion 699
References 700
Chapter 13 Buckling of Thin Plates 702
13.1 Introduction 702
13.2 Equilibrium Equations of a Plate by Small Defection Theory 703
13.3 Elastic Buckling Loads of Simply Supported Plates under Uniform Compression in One Direction 709
13.4 Elastic Buckling Loads of Plates by Energy Method 712
13.5 Elastic Buckling of Simply Supported Plates under Non-Uniform Bending 717
13.6 Elastic Buckling of Simply Supported Plates under Uniform Shear 720
13.7 Differential Equations of Plates by Large Deflection Theory 722
13.8 Post-Buckling Strength of Simply Supported Plates under Uniform Compression 727
13.9 Elastic-Plastic Buckling Analysis of Plates 733
13.10 Application of Buckling Theory of Plates on Steel Structure Design 742
13.11 Plate Elements in a Centrally Compressed Member 744
13.12 Web in Beam and Stability Design of Plate Girder 752
13.13 Plate Elements in Beam-Columns 782
13.14 Provisions of Classification and Recommendation for Limit State Design of Steel Structures in Architectural Institute of Japan 792
13.15 Effective Width of Plate Elements in Cold-Formed Steel Sections 811
13.16 Design of Axially Loaded Slender Compression Members 846
13.17 Utilization of Web Post-Buckling Strength in Slender I-Section Beam-Columns 859
13.18 Buckling Tests on Cold-Formed Hollow Section of Beam-Columns 869
Problems 876
References 877
Chapter 14 Buckling of Cold-Formed Steel Members 883
14.1 Buckling of Cold-Formed Steel Columns and Beams with Holes 883
14.2 Global Flexural Buckling of Cold-Formed Steel Perforated Columns 883
14.3 Flexural-Torsional Buckling of Cold-Formed Steel Perforated Beams 886
14.4 Distortional Buckling Load of Cold-Formed Steel Perforated Columns and Beams 886
14.5 Local Buckling Load of Cold-Formed Steel Perforated Columns and Beams 887
14.6 Cold-Formed web Crippling 897
14.7 Tests and Design of Cold-Formed Channels under web Crippling 898
14.8 Behaviour of Stainless Steel Oval Hollow Section（OHS）Members 906
14.9 Structural Response of Stainless Steel Oval Hollow Section Members under Compression 908
14.10 Direct Strength Method（DSM）of Cold-Formed Member Design 913
14.11 Direct Strength Method for Buckling Capacity of Cold-Formed Steel Members with Uniform and Non-Uniform Elevated Temperatures 928
14.12 Direct Strength Method for Buckling Capacity of Cold-Formed Steel Beams with Uniform and Non-Uniform Elevated Temperature 936
14.13 Conclusions 953
14.14 Recent Investigations on Lateral-Torsional Buckling of Beams in Fire 954
14.15 Lateral-Torsional Buckling Behaviour of Cellular Beams 960
14.16 Lateral-Torsional Buckling Behaviour of Cellular Beams in Case of Fire 977
14.17 Conclusions 984
References 984
Chapter 15 Buckling of Cylindrical Sheels 990
15.1 Introduction 990
15.2 Equilibrium Equations of Cylinderical Shell by Small Deflection Theory 990
15.3 Elastic Buckling of Cylindrical Sheel under Axial Compression 994
15.4 Differential Equations on Large Deflection Theory of Cylindrical Shell 996
15.5 Buckling of Imperfect Cylindrical Shell 998
15.6 Elastic Buckling of Cylindrical Shell under Uniform Hoop Compression 1005
15.7 Cylindrical Buckling under Combined Axial and Hoop Loadings 1009
15.8 Elastiuc Buckling of Cylindrical Shell under Torsion 1013
15.9 Further Investigations for Imperfect Cylindrical Shells under External Pressure 1017
15.10 Conculusions 1021
References 1022
Answers to Some Selected Problems 1025
APPENDIX A 1033
AUTHOR INDEX 1180
SUBJECT INDEX 1188
POSTSCRIPT 1200