Theory of Beam-Columns, Volume 1 In-Plane Behavior and Design

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ISBN: 9781932159769 | 1932159762
Cover: Paperback
Copyright: 12/1/2007

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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.

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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Theory of Beam-Columns, Volume 1 In-Plane Behavior and Design

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Theory of Beam-Columns, Volume 1 In-Plane Behavior and Design

Summary

Author Biography

Table of Contents

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