Edited by Ronald D. Ziemian Copyright © 2010 John Wiley & Sons, Inc. Guide to Stability Design Criteria for Metal Structures, Sixth Edition GUIDE TO STABILITY DESIGN CRITERIA FOR METAL STRUCTURES JOHN WILEY & SONS, INC. Edited by RONALD D. ZIEMIAN Sixth Edition GUIDE TO STABILITY DESIGN CRITERIA FOR METAL STRUCTURES Thisbookisprintedonacid-freepaper. 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Some content that appears in print may not be available in electronic books. For more information about Wiley products, visit our web siteatwww.wiley.com. LibraryofCongressCataloging-in-PublicationData: Guidetostabilitydesigncriteriaformetalstructures/editedbyRonaldD.Ziemian. – 6thed. p.cm. Includesindex. ISBN978-0-470-08525-7(cloth) 1.Columns.2.Girders.I.Ziemian,RonaldD. TA660.C6G852010 624.1(cid:2)821—dc22 2009020807 PrintedintheUnitedStatesofAmerica 10987654321 1.1 From the Metal Column to the Structural System / 1 1.2 Scope and Summary of the Guide / 2 1.3 Mechanical Properties of Structural Metals / 3 1.4 Definitions / 5 1.5 Postbuckling Behavior / 8 1.6 Credits for the Chapters in the Sixth Edition of the SSRC Guide / 9 References / 11 2.1 Introduction / 12 2.2 Bifurcation Buckling / 13 2.3 Limit-Load Buckling / 20 References / 22 3.1 Introduction / 23 3.2 Column Strength / 25 v PREFACE xiii NOTATIONANDABBREVIATIONS xv CHAPTER1 INTRODUCTION 1 CHAPTER2 STABILITYTHEORY 12 CHAPTER3 CENTRALLYLOADEDCOLUMNS 23 CONTENTS 3.3 Influence of Imperfections / 29 3.4 Influence of End Restraint / 44 3.5 Strength Criteria for Steel Columns / 52 3.6 Aluminum Columns / 63 3.7 Stainless Steel Columns / 79 3.8 Tapered Columns / 85 3.9 Built-Up Columns / 90 3.10 Stepped Columns / 104 3.11 Guyed Towers / 109 References / 114 4.1 Introduction / 128 4.2 Elastic Local Buckling of Flat Plates / 130 4.3 Inelastic Buckling, Postbuckling, and Strength of Flat Plates / 145 4.4 Buckling, Postbuckling, and Strength of Stiffened Plates / 163 4.5 Buckling of Orthotropic Plates / 180 4.6 Interaction between Plate Elements / 188 References / 193 5.1 Introduction / 205 5.2 Elastic Lateral–Torsional Buckling, Prismatic I-Section Members / 208 5.3 Fundamental Comparison of Design Standards, Prismatic I-Section Members / 232 5.4 Stepped, Variable Web Depth and Other Nonprismatic I-Section Members / 236 5.5 Continuous-Span Composite I-Section Members / 240 5.6 Beams with Other Cross-Sectional Types / 242 5.7 Design for Inelastic Deformation Capacity / 243 5.8 Concluding Remarks / 246 References / 247 6.1 Introduction / 257 6.2 Preliminary Sizing / 259 CONTENTS vi CHAPTER4 PLATES 128 CHAPTER5 BEAMS 205 CHAPTER6 PLATEGIRDERS 257 6.3 Web Buckling as a Basis for Design / 261 6.4 Shear Strength of Plate Girders / 262 6.5 Girders with No Intermediate Stiffeners / 274 6.6 Steel Plate Shear Walls / 275 6.7 Bending Strength of Plate Girders / 277 6.8 Combined Bending and Shear / 280 6.9 Plate Girders with Longitudinal Stiffeners / 283 6.10 End Panels / 290 6.11 Design of Stiffeners / 290 6.12 Panels under Edge Loading / 293 6.13 Fatigue / 305 6.14 Design Principles and Philosophies / 305 6.15 Girders with Corrugated Webs / 306 6.16 Research Needs / 311 References / 312 7.1 Introduction / 321 7.2 Bases of Design / 323 7.3 Buckling of Wide Flanges / 326 7.4 Bending Strength of Box Girders / 344 7.5 Nominal Shear Strength of Box Girders / 345 7.6 Strength of Box Girders under Combined Bending, Compression, and Shear / 348 7.7 Influence of Torsion on Strength of Box Girders / 353 7.8 Diaphragms / 353 7.9 Top-Flange Lateral Bracing of Quasi-Closed Sections / 365 7.10 Research Needs / 367 References / 368 8.1 Introduction / 371 8.2 Strength of Beam-Columns / 373 8.3 Uniaxial Bending: In-Plane Strength / 375 8.4 Uniaxial Bending: Lateral–Torsional Buckling / 386 8.5 Equivalent Uniform Moment Factor / 392 8.6 Biaxial Bending / 394 CONTENTS vii CHAPTER7 BOXGIRDERS 321 CHAPTER8 BEAM-COLUMNS 371 8.7 Special Topics / 404 References / 405 9.1 Introduction / 413 9.2 Historical Review / 414 9.3 Fabrication and Construction / 416 9.4 Analysis Methods / 421 9.5 Stability of Curved I-Girders / 423 9.6 Stability of Curved Box Girders / 440 9.7 Concluding Remarks / 442 References / 442 10.1 Introduction / 456 10.2 U.S.–Japan Research Program / 460 10.3 Cross-Sectional Strength of Composite Sections / 467 10.4 Other Considerations for Cross-Sectional Strength / 471 10.5 Length Effects / 473 10.6 Force Transfer between Concrete and Steel / 474 10.7 Design Approaches / 478 10.8 Structural Systems and Connections for Composite and Hybrid Structures / 484 10.9 Summary / 486 References / 486 11.1 Introduction / 493 11.2 Review of Experimental and Analytical Research / 494 11.3 Single-Angle Compression Members / 501 11.4 Current Industry Practice for Hot-Rolled Single-Angle Members in the United States / 507 11.5 Design Criteria for Hot-Rolled Angle Columns in Europe, Australia, and Japan / 511 11.6 Design of Axially Loaded Cold-Formed Single Angles / 512 CONTENTS viii CHAPTER9 HORIZONTALLYCURVEDSTEELGIRDERS 413 CHAPTER10 COMPOSITECOLUMNSANDSTRUCTURAL SYSTEMS 456 CHAPTER11 STABILITYOFANGLEMEMBERS 493 11.7 Concluding Remarks on the Compressive Strength of Eccentrically Loaded Single-Angle Members / 514 11.8 Multiple Angles in Compression / 514 11.9 Angles in Flexure / 522 References / 526 12.1 Introduction / 531 12.2 Background / 533 12.3 Safety Factors, φ Factors, and Definitions / 536 12.4 Relative Braces for Columns or Frames / 537 12.5 Discrete Bracing Systems for Columns / 538 12.6 Continuous Column Bracing / 541 12.7 Lean-on Systems / 542 12.8 Columns Braced on One Flange / 544 12.9 Beam Buckling and Bracing / 545 12.10 Beam Bracing / 546 References / 553 13.1 Introduction / 556 13.2 Member Stability Modes (Elastic) / 557 13.3 Effective Width Member Design / 571 13.4 Direct Strength Member Design / 581 13.5 Additional Design Considerations / 596 13.6 Structural Assemblies / 599 13.7 Stainless Steel Structural Members / 604 13.8 Aluminum Structural Members / 606 13.9 Torsional Buckling / 610 References / 611 14.1 Introduction / 626 14.2 Description of Buckling Behavior / 629 14.3 Unstiffened or Heavy-Ring-Stiffened Cylinders / 631 CONTENTS ix CHAPTER12 BRACING 531 CHAPTER13 THIN-WALLEDMETALCONSTRUCTION 556 CHAPTER14 CIRCULARTUBESANDSHELLS 626 14.4 General Instability of Ring-Stiffened Cylinders / 651 14.5 Stringer- or Ring-and-Stringer-Stiffened Cylinders / 658 14.6 Effects on Column Buckling / 660 14.7 Cylinders Subjected to Combined Loadings / 664 14.8 Strength and Behavior of Damaged and Repaired Tubular Columns / 669 References / 669 15.1 Introduction / 678 15.2 Buckling of the Compression Chord / 679 15.3 Effect of Secondary Factors on Buckling Load / 685 15.4 Top-Chord Stresses due to Bending of Floor Beams and to Initial Chord Eccentricities / 686 15.5 Design Example / 686 15.6 Plate Girder with Elastically Braced Compression Flange / 689 15.7 Guyed Towers / 689 References / 690 16.1 Introduction / 692 16.2 Methods of Analysis / 693 16.3 Frame Behavior / 705 16.4 Frame Stability Assessment Using Second-Order Analysis / 724 16.5 Overview of Current Code Provisions / 741 16.6 Structural Integrity and Disproportionate Collapse Resistance / 748 16.7 Concluding Remarks / 753 References / 754 17.1 Introduction / 762 17.2 In-Plane Stability of Arches / 764 17.3 Out-of-Plane Stability of Arches / 782 17.4 Braced Arches and Requirements for Bracing Systems / 792 CONTENTS x CHAPTER15 MEMBERSWITHELASTICLATERAL RESTRAINTS 678 CHAPTER16 FRAMESTABILITY 692 CHAPTER17 ARCHES 762
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