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CHAPTER 1　INTRODUCTION 1

1.1　TYPES OF INSTABILITY 1

1.2　METHODS OF STABILITY ANALYSIS 6

1.3　STABILITY OF PERFECT MECHANICAL MODELS 9

1.4　STABILITY OF IMPERFECT MECHANICAL MODELS 18

1.5　STABILITY OF SNAP-THROUGH MECHANICAL MODEL 23

1.6 MECHANICAL PROPERTIES OF STRUCTURAL STEEL 26

1.7 RESIDUAL STRESS DISTRIBUTIONS IN STEEL MEMBERS 31

1.8 BEHAVIOR AND DESIGN OF STEEL STRUCTURES 35

Problems 42

References 43

CHAPTER 2　FLEXURAL BUCKLING OF CENTRALLY COMPRESSED MEMBERS 46

2.1　INTRODUCTION 46

2.2　ELASTIC FLEXURAL BUCKLING OF CENTRALLY COMPRESSED MEMBERS 47

2.3 CENTRALLY COMPRESSED MEMBERS WITH END RESTRAINT 48

2.4 EFECTIVE LENGTH FACTORS OF CENTRALLY COMPRESSED MEMBERS 55

2.5 ELASTTC LARGE DEFLECTION ANALYSIS OF CENTRALLY COMPRESSED MEMBERS 69

2.6 EFFECT OF INITIAL GEOMETRICAL IMPERFECTIONS ON CENTRALLY COMPRESSED MEMBERS 72

2.7 INELASTIC FLEXURAL BUCKLING OF CENTRALLY COMPRESSED MEMBERS 77

2.8 EFFECT OF RESIDUAL STRESSES ON CENTRALLY COMPRESSED MEMBERS 86

2.9 APPLICATION OF STABILITY THEORY OF CENTRALLY COMPRESSED MEMBERS ON STEEL STRUCTURE DESIGN 92

Problems 112

References 115

CHAPTER 3 IN-PLANE STABILITY OF BEAM-COLUMNS 118

3.1　INTRODUCTION 118

3.2　DEFORMATIONS AND INTERNAL FORCES OF SIMPLY SUPPORTED ELASTIC BEAM-COLUMNS UNDER TRANSVERSE LOADS 120

3.3　DEFORMATIONS AND INTERNAL FORCES OF FIXED ENDED ELASTIC BEAM-COLUMNS UNDER TRANSVERSE LOADS 126

3.4　DEFORMATIONS AND INTERNAL FORCES OF ELASTIC BEAM-COLUMN UNDER END MOMENTS 130

3.5　IN-PLANE EQUIVALENT MOMENT AND IN-PLANE EQUIVALENT MOMENT FACTOR OF BEAM-COLUMN 133

3.6　SLOPE-DEFLECTION EQUATIONS OF ELASTIC BEAM-COLUMN WITHOUT SWAY 137

3.7　SLOPE-DEFLECTION EQUATIONS OF ELASTIC BEAM-COLUMN WITH SWAY 141

3.8　SLOPE-DEFLECTION EQUATIONS OF ELASTIC BEAM-COLUMN UNDER TRANSVERSE LOADS 141

3.9　IN-PLANE ULTIMATE LOAD OF BEAM-COLUMN 144

3.10　APPLICATION OF IN-PLANE STABILITY THEORY OF BEAM-COLUMNS ON STEEL STRUCTURE DESIGN 157

3.11　FURTHER INVESTIGATIONS OF IN-PLANE STRENGTH OF NON-SWAY BEAM-COLUMNS 175

Problems 181

References 183

CHAPTER 4　IN-PLANE STABILITY OF FRAMES 185

4.1　TYPES OF INSTABILITY OF FRAMES 185

4.2　ELASTIC BUCKLING LOADS OF FRAMES BY EQUILIBRIUM METHOD 188

4.3　ELASTIC BUCKLING LOADS OF FRAMES BY SLOPE-DEFLECTION METHOD 191

4.4　ELASTIC BUCKLING OF MULTI-STORY FRAMES 199

4.5　ELASTIC BUCKLING LOADS OF MULTISTORY FRAMES BY APPROXIMATE METHOD 200

4.6　STABILITY OF FRAMES UNDER PRIMARY BENDING MOMENT 211

4.7　ELASTIC-PLASTIC STABILITY OF FRAMES 217

4.8　ULTIMATE LOADS OF SWAY FRAMES 219

4.9　APPLICATION OF STABILITY THEORY OF FRAMES ON STEEL STRUCTURE DESIGN 235

4.10　OVERALL DESIGN METHOD OF IN-PLANE STABILITY OF FRAME-DIRECT ANALYSIS(ADVANCED ANALYSIS)METHOD 264

4.11　MOMENT ROTATION CURVES OF BEAM-TO-COLUMN CONNECTIONS AND DESIGN OF SEMI-RIGID FRAMES 281

4.12　OVERALL IN-PLANE BUCKLING OF SINGLE-STORY MULTI-BAY PITCHED-ROOF FRAMES 316

Problems 322

References 324

CHAPTER 5　APPROXIMATE METHODS OF STABILITY ANALYSIS 329

5.1　INTRODUCTION 329

5.2 PRINCIPLE OF ENERGY CONSERVATION 330

5.3　PRINCIPLE OF STATIONARY VALUE OF POTENTIAL ENERGY AND PRINCIPLE OF MINIMUM POTENTIAL ENERGY 334

5.4　RAYLEIGH-RITZ METHOD 339

5.5　GALERKIN METHOD 343

5.6　FINITE DIFFERENCE METHOD 345

5.7　FINITE INTEGRAL METHOD 351

5.8　FINITE ELEMENT METHOD 357

5.9　USING FINITE ELEMENT METHOD TO DETERMINE EFFECTIVE LENGTH FACTORS OF THE UNBRACED TAPERED PORTAL FRAMED COLUMN 368

Problems 372

References 373

CHAPTER 6　TORSIONAL BUCKLING AND FLEXURAL-TORSIONAL BUCKLING OF COMPRESSION MEMBERS 375

6.1　INTRODUCTION 375

6.2　SHEAR CENTER OF THIN-WALLED OPEN SECTION MEMBERS 377

6.3　TORSION OF THIN-WALLED OPEN SECTION MEMBERS 380

6.4　ELASTIC TORSIONAL BUCKLING OF CENTRALLY COMPRESSED MEMBERS 394

6.5　ELASTIC-PLASTIC TORSIONAL BUCKLING OF CENTRALLY COMPRESSED MEMBERS 402

6.6　ELASTIC FLEXURAL-TORSIONAL BUCKLING OF CENTRALLY COMPRESSED MEMBERS 406

6.7 ELASTIC-PLASTIC FLEXURAL-TORSIONAL BUCKLING OF CENTRALLY COMPRESSED MEMBERS 414

6.8 ELASTIC FLEXURAL-TORSIONAL BUCKLING OF BEAM-COLUMN 419

6.9　ELASTIC-PLASTIC FLEXURAL-TORSIONAL BUCKLING OF BEAM-COLUMN 437

6.10　APPLICATION OF TORSIONAL AND FLEXURAL-TORSIONAL BUCKLING THEORIES OF COMPRESSION MEMBERS ON STEEL STRUCTURE DESIGN 445

Problems 461

References 463

Appendix A-Derivations of Ixf,Iyf,Ixyf, Ix,Iy and Iω for Sloping Lipped Channel 465

CHAPTER 7　FLEXURAL-TORSIONAL BUCKLING OF BEAMS 470

7.1 INTRODUCTION 470

7.2 ELASTIC FLEXURAL-TORSIONAL BUCKLING OF BEAMS UNDER UNIFORM BENDING 472

7.3　BEAMS UNDER UNEQUAL END MOMENTS 480

7.4 BEAMS UNDER TRANSVERSE LOADS 482

7.5 ELASTIC FLEXURAL-TORSIONAL BUCKLING OF BEAMS WITH VARYING CROSS-SECTION 492

7.6 ELASTIC-PLASTIC FLEXURAL-TORSIONAL BUCKLING OF BEAMS 497

7.7 APPLICATION OF FLEXURAL-TORSIONAL BUCKLING THEORY OF BEAMS FOR DESIGN OF STEEL STRUCTURES 505

7.8 ULTIMATE CAPACITIES AND DESIGN FORMULAS OF BIAXIAL BENDING BEAM-COLUMNS AND BEAMS 540

7.9 SINGLE ANGLE FLEXURAL MEMBERS 578

Problems 584

References 586

CHAPTER 8 BUCKLING OF THIN PLATES 590

8.1 INTRODUCTION 590

8.2 EQUILIBRIUM EQUATIONS OF A PLATE BY SMALL DEFECTION THEORY 591

8.3 ELASTIC BUCKLING LOADS OF SIMPLY SUPPORTED PLATES UNDER UNIFORM COMPRESSION IN ONE DIRECTION 596

8.4 ELASTIC BUCKLING LOADS OF PLATES BY ENERGY METHOD 599

8.5 ELASTIC BUCKLING OF SIMPLY SUPPORTED PLATES UNDER NON-UNIFORM BENDING 604

8.6　ELASTIC BUCKLING OF SIMPLY SUPPORTED PLATES UNDER UNIFORM SHEAR 606

8.7　DIFFERENTIAL EQUATIONS OF PLATES BY LARGE DEFLECTION THEORY 608

8.8　POST-BUCKLING STRENGTH OF SIMPLY SUPPORTED PLATES UNDER UNIFORM COMPRESSION 613

8.9　ELASTIC-PLASTIC BUCKLING ANALYSIS OF PLATES 618

8.10　APPLICATION OF BUCKLING THEORY OF PLATES ON STEEL STRUCTURE DESIGN 626

8.11　PLATE ELEMENTS IN A CENTRALLY COMPRESSED MEMBER 629

8.12　WEB IN BEAM AND STABILITY DESIGN OF PLATE GIRDER 635

8.13　PLATE ELEMENTS IN BEAM-COLUMNS 660

8.14　PROVISIONS OF CLASSIFICATION AND RECOMMENDATION FOR LIMIT STATE DESIGN OF STEEL STRUCTURES IN ARCHITECTURAL INSTITUTE OF JAPAN 668

8.15　EFFECTIVE WIDTH OF PLATE ELEMENTS IN COLD-FORMED STEEL SECTIONS 684

8.16　DESIGN OF AXIALLY LOADED SLENDER COMPRESSION MEMBERS 716

8.17　UTILIZATION OF WEB POST-BUCKLING STRENGTH IN SLENDER I-SECTION BEAM-COLUMNS 725

Problems 734

References 736

APPENDIX 741

1．BUCKLING LOAD OF AXIALLY LOADED MEMBER ON ELASTIC SUPPORT 741

2．TOTAL POTENTIAL ENERGY OF FLEXURAL-TORSIONAL BUCKLING OF BEAMS AND BEAM-COLUMNS 756

3．FLEXURAL-TORSIONAL BUCKLING LOADS OF COMPRESSION MEMBERS AND BEAMS BY FINITE ELEMENT METHOD 765

4．FLEXURAL-TORSIONAL BUCKLING LOADS OF COMPRESSION MEMBERS AND BEAMS BY FINITE INTEGRAL METHOD 786

5．FLEXURAL-TORSIONAL BUCKLING LOADS OF COMPRESSION MEMBERS AND BEAMS BY FINITE DIFFERCE METHOD 795

6．DIRECT STRENGTH METHOD FOR DESIGN OF COLD-FORMED LIPPED CHANNEL MEMBERS 802

References 848

Answers to Some Selected Problems 851

AUTHOR INDEX 858

SUBJECT INDEX 863

POSTSCRIPT 874