TABLE OF CONTENTS
Chapter 1 Introduction
1.1 PURPOSE OF THIS DESIGN GUIDE
1.2 HOW TO USE THIS DESIGN GUIDE
1.3 OVERVIEW OF STABILITY ANALYSIS AND DESIGN METHODS
1.4 IMPLEMENTATION OF SECOND-ORDER ANALYSIS IN THE DESIGN PROCESS
1.5 THE CONCEPT OF NOTIONAL LOADS
1.6 THE INFLUENCE OF APPLIED VERTICAL LOADS ON STABILITY
1.7 INTRODUCTION TO THE DESIGN EXAMPLES
Chapter 2 Effective Length Method (ELM)—Design by Second-Order Analysis
2.1 INTRODUCTION
2.2 STEP-BY-STEP PROCEDURE
2.3 ADVANTAGES, DISADVANTAGES AND RESTRICTIONS ON USAGE
2.4 OBSERVATIONS ON FRAME BEHAVIOR—ELM
2.5 SUMMARY OF DESIGN RECOMMENDATIONS
2.6 DESIGN EXAMPLES
Chapter 3 Direct Analysis Method (DM)
3.1 INTRODUCTION
3.2 STEP-BY-STEP PROCEDURE
3.3 ADVANTAGES, DISADVANTAGES AND RESTRICTIONS ON USAGE
3.4 OBSERVATIONS ON FRAME BEHAVIOR—DM VERSUS ELM
3.5 EFFECT OF VARYING NOTIONAL LOADS
3.6 SUMMARY OF DESIGN RECOMMENDATIONS
3.7 DESIGN EXAMPLES
Chapter 4 First-Order Analysis Method (FOM)
4.1 INTRODUCTION
4.2 STEP-BY-STEP PROCEDURE
4.3 ADVANTAGES, DISADVANTAGES AND RESTRICTIONS ON USAGE
4.4 SUMMARY OF DESIGN RECOMMENDATIONS
4.5 DESIGN EXAMPLES
Chapter 5 Related Topics
5.1 APPLICATION TO SEISMIC DESIGN
5.2 COMMON PITFALLS AND ERRORS INSTABILITY ANALYSIS AND DESIGN
APPENDIX A Basic Principles of Stability
A.1 WHAT IS STABILITY?
A.2 FACTORS INFLUENCING FRAME STABILITY
A.3 SIMPLE STABILITY MODELS
A.4 COLUMN CURVE FOR FLEXURAL BUCKLING OF MEMBERS WITHOUT SLENDER CROSS-SECTION ELEMENTS
A.5 COLUMN INELASTICITY
A.6 EFFECTIVE LENGTH FACTOR, K
A.7 BEAM-COLUMN INTERACTION EQUATIONS
A.8 OUT-OF-PLUMBNESS
APPENDIX B Development of the First-Order Analysis Method (FOM)
B.1 AMPLIFIED FIRST-ORDER ELASTIC ANALYSIS METHOD (B1-B2 METHOD)
B.2 ALTERNATIVE APPLICATION OF THE B1 AND B2 AMPLIFICATION FACTORS
B.3 DEVELOPMENT OF THE FIRST-ORDER ANALYSIS METHOD
APPENDIX C Modeling Out-of-Plumbness in the Direct Analysis Method or the Effective Length Method for Taller Building Structures
APPENDIX D Practical Benchmarking and Application of Second-Order Analysis Software
D.1 APPROPRIATE NUMBER OF ELEMENTS PER MEMBER IN P-δ FORMULATIONS
D.2 APPROPRIATE NUMBER OF ELEMENTS PER MEMBER IN P-Δ FORMULATIONS
D.3 CALCULATION OF INTERNAL P-δ MOMENTS ALONG ELEMENT LENGTHS
D.4 BASIC TEST PROBLEMS FOR EVALUATION OF SECOND-ORDER ANALYSIS SOFTWARE
APPENDIX E Bracing Requirements for Columns and Frames Using Second-Order Analysis
E.1 INTRODUCTION
E.2 TYPES OF COLUMN BRACING
E.3 RELATIVE BRACING EXAMPLE
E.4 NODAL BRACING EXAMPLE
E.5 ADDITIONAL NODAL AND RELATIVE BRACING CONSIDERATIONS
E.6 LEAN-ON BRACING EXAMPLE
E.7 SUMMARY OF DESIGN RECOMMENDATIONS FOR STABILITY BRACING PROBLEMS USING THE DM
SYMBOLS
REFERENCES