Theory of Beam-Columns, Volume 1 In-Plane Behavior and Design
by Chen, Wai-Fah; Atsuta, ToshioEdition: Reprint
Format: Paperback
Pub. Date: 2007-12-01
Publisher(s): J. Ross Publishing
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Summary
This is the first volume of a two-volume work presenting the basic theoretical principles, methods of analysis in obtaining the solutions of beam-columns, and developments of theories of biaxially loaded beam-columns, and to show how these theories can be used in the solution of practical design problems. After presenting the basic theory the authors proceed to solutions of particular problems. Both refined and simplified design procedures, along with their limitations, are presented. It is left to the engineer to choose among them as he sees fit. An unabridged J. Ross Publishing republication of the edition published by McGraw-Hill, Inc., New York, 1976, 513pp.
Author Biography
Dr. Wai-Fah Chen is a member of the U.S. National Academy of Engineering and an Honorary member of the American Society of Civil Engineers Dr. Toshio Atsuta was previously the Vice President of the New Industry Research Organization, Kobe, Japan
Table of Contents
| Introduction | |
| Theory of Beam-Columns | p. 1 |
| Scope | p. 2 |
| General Considerations | p. 4 |
| The Stability Problem | p. 5 |
| A Brief Historical Sketch | p. 9 |
| Organization of the Book | p. 11 |
| References | p. 13 |
| Stress-Strain Relations | |
| Introduction | p. 14 |
| Simple Tests | p. 15 |
| Combined Stress Test | p. 23 |
| Initial Yield Curves | p. 28 |
| Initial Yield Criteria | p. 32 |
| Subsequent Yield Surfaces | p. 35 |
| Nature of Yield Surfaces and Plastic Stress-Strain Relations | p. 37 |
| Stress-Strain Relations in the Plastic Range | p. 39 |
| Generalized Stresses and Generalized Strains | p. 42 |
| General Theorems of Limit Analysis | p. 43 |
| Limit Analysis and Limit Surface | p. 44 |
| Summary | p. 46 |
| Problems | p. 49 |
| References | p. 50 |
| Elastic Stability of Columns | |
| Introduction | p. 51 |
| Derivation of Basic Equations | p. 55 |
| Solutions for Beam-Columns (Deflection Problem) | p. 61 |
| General Solution of Elastic Beam-Column (Deflection Problem) | p. 67 |
| Buckling of Columns (Eigenvalue Problem) | p. 70 |
| Energy Criterion for Stability | p. 76 |
| Approximate Methods for Solving Stability Problems | p. 81 |
| Summary | p. 87 |
| Problems | p. 90 |
| References | p. 91 |
| Special Topics in Elastic Stability of Columns | |
| Introduction | p. 92 |
| Orthogonality of Buckling Modes (Characteristic Functions) | p. 93 |
| The Effect of Initial Curvature on Deflections | p. 97 |
| Large Deflection of Elastic Beam-Columns | p. 101 |
| Buckling of a Column on an Elastic Foundation | p. 106 |
| Free Vibration of Axially Compressed Columns | p. 110 |
| Buckling by a Tangential Load | p. 115 |
| Self-Adjoint Boundary Conditions | p. 120 |
| Summary | p. 125 |
| Problems | p. 126 |
| References | p. 128 |
| Moment-Curvature Relations of Column Segments | |
| Introduction | p. 129 |
| Pure Bending of Rectangular Section | p. 130 |
| Effects of Axial Thrust | p. 134 |
| Steel Sections of Various Shapes | p. 142 |
| Brick or Masonry Wall Sections | p. 146 |
| Reinforced Concrete Sections | p. 148 |
| Concrete-Filled Steel Tubular Sections | p. 155 |
| Response to Repeated Loading | p. 158 |
| Summary | p. 161 |
| Problems | p. 163 |
| References | p. 170 |
| Plastic Buckling of Columns | |
| Introduction | p. 171 |
| Concepts of Plastic Buckling of Columns | p. 175 |
| Generalized Stress-Strain Relationship | p. 176 |
| Reduced-Modulus or Double-Modulus Theory | p. 180 |
| The Tangent-Modulus Theory | p. 181 |
| Example for a Column with Rectangular Section | p. 184 |
| Shanley's Model | p. 187 |
| Real Columns - Deflection Problem | p. 191 |
| Influence of Residual Stresses on Plastic Buckling | p. 193 |
| Summary | p. 196 |
| Problems | p. 198 |
| References | p. 198 |
| Analysis of Elastic and Plastic Beam-Columns | |
| Introduction | p. 199 |
| Elastic Limit State Analysis | p. 200 |
| Basic Equations for Plastic Beam-Column Analysis | p. 210 |
| Summary | p. 215 |
| Problems | p. 215 |
| References | p. 216 |
| Deflection Method for Plastic Beam-Columns | |
| Introduction | p. 217 |
| Exact Approach-Jezek's Method | p. 218 |
| Numerical Approach-CDC Method | p. 220 |
| Modified CDC Method | p. 228 |
| Approximate Approach-Jezek's Method | p. 235 |
| Approximate Solution of Laterally Loaded Beam-Columns | p. 242 |
| Summary | p. 243 |
| Problems | p. 245 |
| References | p. 245 |
| Curvature Method for Plastic Beam-Columns | |
| Introduction | p. 247 |
| Derivation of General Solutions | p. 248 |
| Boundary Conditions and Discontinuity of Curvature Slope | p. 251 |
| Solutions for a Symmetrically Loaded Beam-Column with a Concentrated Lateral Load at Mid-Span | p. 253 |
| Eccentrically Loaded Column | p. 262 |
| Eccentrically Loaded Beam-Columns with a Concentrated Lateral Load at Mid-Span | p. 268 |
| Effects of Initial Curvature on Column Strength | p. 280 |
| Summary | p. 286 |
| Problems | p. 287 |
| References | p. 288 |
| Curvature Method-Column Curvature Curves | |
| Introduction | p. 289 |
| Concept of Equivalent Column | p. 290 |
| Column Curvature Curves | p. 294 |
| Solution of the Beam-Column Problem | p. 296 |
| Rotation and Deflection | p. 299 |
| Numerical Results | p. 304 |
| Summary | p. 305 |
| Problems | p. 310 |
| References | p. 310 |
| Curvature Method-Examples | |
| Introduction | p. 311 |
| Eccentrically Loaded Walls with no Tensile Strength | p. 312 |
| Strength of Eccentrically Loaded Walls | p. 321 |
| Concrete-Filled Steel Tubular Beam-Columns | p. 329 |
| Reinforced Concrete Beam-Columns | p. 339 |
| Summary | p. 344 |
| Problems | p. 348 |
| References | p. 349 |
| Moment Method and Others for Plastic Beam-Columns | |
| Introduction | p. 350 |
| Moment Method for Non-Sway Beam-Columns | p. 353 |
| Moment Method for Restrained Sway-Columns | p. 366 |
| Method of Finite Differences | p. 374 |
| Modified Deflection Method | p. 379 |
| Summary | p. 385 |
| Problems | p. 386 |
| References | p. 386 |
| Approximate Methods for Ultimate Strength of Beam-Columns | |
| Introduction | p. 387 |
| Method of Assuming a Deflected Shape | p. 388 |
| Maximum Strength by Newmark's Integration | p. 391 |
| Beta-Chart for Beam-Columns with End Moments | p. 396 |
| Simple Interaction Equations by Average Flow Moment | p. 400 |
| Maximum Strength of Concrete-Filled Steel Tubular Beam-Columns | p. 408 |
| Summary | p. 424 |
| Problems | p. 424 |
| References | p. 425 |
| Design of Columns and Beam-Columns | |
| Introduction | p. 426 |
| Design of Steel Columns | p. 427 |
| Column Design Formula in 1969 AISC Specification | p. 430 |
| Multiple Column Curves for Design of Steel Columns | p. 433 |
| Design of Aluminum Columns | p. 442 |
| Design of Metal Beam-Columns | p. 443 |
| Beam-Column Design Formulas in AISC Specification | p. 449 |
| Design of Reinforced Concrete Columns by ACI Code | p. 451 |
| Summary | p. 455 |
| Problems | p. 458 |
| References | p. 460 |
| Probabilistic Analysis of Column Strength | |
| Introduction | p. 461 |
| Basic Statistical Equations | p. 462 |
| Elastic Column Design | p. 468 |
| Probabilistic Column Curves | p. 470 |
| Summary | p. 488 |
| Problems | p. 489 |
| References | p. 490 |
| Answers to Some Selected Problems | p. 492 |
| Author Index | p. 507 |
| Subject Index | p. 509 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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