CHAPTER 1 Introduction 1
1.1 Structures and Their Classification 1
1.2 Cbjective and Learning Method of Structural Mechanics 3
1.3 Analytical Mbdels of Structures 5
1.4 Classification of Framed Structures 12
1.5 The Classification of Loads 15
Summary 16
Problems for Reflecting 17
CHAPTER 2 Geometric Construction Analysis of Structures 18
2.1 Purpose of Analyzing Geometric Construction of Structures,Stable and Unstable Structural Systems 18
2.2 The Concept of Degrees of Freedomand Restraints 19
2.3 Geometric Construction Rules of Planar Stable Framed Systems Wthout Redundant Restraints 24
2.4 Illustration of Geometric Construction Analysis 28
2.5 The Relationship between Static Determinacy and Geometric Construction of Structures 30
Summary 31
Problems for Reflecting 31
Problems for Solution 32
CHAPTER 3 Statically Determinate Beams 35
3.1 The Analysis of Single Span Beams 35
3.2 Construction of Bending Moment Diagram By Principle of Superposition for Straight Members 48
3.3 The Analysis of Simply Supported Inclined Beams 51
3.4 The Restraint Force Calculation and Geometric Construction of Statically Determinate Multispan Beams 55
3.5 The Construction of Internal Force Diagrams of Statically Determinate Multispan Beams 57
Summary 61
Problems for Reflecting 62
Problems for Solution 62
CHAPTER 4 Plane Statically Determinate Rigid Frames 67
4.1 Geometric Construction and Characteristics of Plane Statically Determinate Rigid Frames 68
4.2 The Analyzing of Reactions for Statically Determinate Rigid Frames 70
4.3 Determination of Internal Forces of Member Ends by Using the Method of Sections 73
4.4 The Construction of Internal Force Dlagrams of Statically Determinate Frames 76
4.5 Internal Force Diagrams of Statically Determinate Three-hinged Frames,Multispan and Multistory Frames 80
Summary 84
Problems for Reflecting 85
Problems for Solution 87
CHAPTER 5 Three Hinged Arches 91
5.1 The Constitution and Type of Three Hinged Arches 91
5.2 The Reactions of Three Hinged Arches Under the Action of Vertical Loads 92
5.3 The Formula for Calculating Internal Forces of Three Hinged Arches Under Action of Vertical Loads 94
5.4 Stressing Performance of Three Hinged Arches 99
5.5 Rational Axial Lines of Three Hinged Arches 100
Summary 104
Problems for Reflecting 105
Problems for Solution 106
CHAPTER 6 Plane Statically Determinate Trusses and Composite Structures 108
6.1 Characteristics and Classification of Trusses 108
6.2 The Method of Joints 114
6.3 The Method of Sections 119
6.4 The Combination of the Method of Joints and the Method of Sections 123
6.5 Formand Stressing Characteristics of Girder Trusses 125
6.6 Composite Structures 128
Summary 132
Problems for Reflecting 133
Problems for Solution 134
CHAPTER 7 General Remarks on Statically Determinate Structures 139
7.1 Analytical Methods for Statically Determinate Structures 139
7.2 General Property of Statically Determinate Structures 144
7.3 Stressing Characteristics of Various Types of Structures 148
Problems for Solution 151
CHAPTER 8 Influence Lines 153
8.1 Concept of influencelines 153
8.2 Influence Lines for Statically Determinate Single Span Beams by Static Method 156
8.3 Influence Lines for Girders with Floor Systems 163
8.4 Influence Lines for Trusses by Using Static Method 166
8.5 Virtual Displacement Method for Constructing Influence Lines for Statically Determinate Beams 170
8.6 Application of Influence Lines 179
Summary 192
Problems for Reflecting 193
Problems for Solution 194
CHAPTER 9 Principle of Virtual Work and Displacement of Structures 199
9.1 Introduction for Calculation of Structural Displacement 199
9.2 Virtual Work and Principle of Virtual Work 201
9.3 General Equation and Unit Load Method for Computing Displacements 212
9.4 Calculation of Displacements Caused by Loads 213
9.5 Graph-Multiplication Method 221
9.6 Calculation of Displacements Caused by Temperature Changes 233
9.7 Calculation of Displacements Caused by Support Movement 236
9.8 Reciprocal Laws for Linear Elastic System 238
Problems for Reflecting 243
Problems for Solution 246
CHAPTER 10 Force Method 251
10.1 Statically Indeterminate Structures and Degrees of Indeterminacy 251
10.2 Basic Concept of Force Method 254
10.3 Canonical Equations of Force Method 258
10.4 Statically Indeterminate Beams,Rigid Frames and Bent Frames 262
10.5 Statically Indeterminate Trusses and Composite Structures 272
10.6 Analysis of Symmetric Structures 277
10.7 Statically Indeterminate Arches 291
10.8 Internal Forces due to Support Settlements and Temperature Changes 303
10.9 Computation of Displacements of Statically Indeterminate Structures 309
10.10 Verification of Calculation of Statically Indeterminate Structures 313
Summary 317
Problems for Reflecting 320
Problems for Solution 323
CHAPTER 11 Displacement Method 329
11.1 Fundamental Concepts of Displacement Method 329
11.2 Member End Forces of Various Single-Span Indeterminate Prismatic Beams Due to Their End Displacements and External Loadings 332
11.3 Primary Unknowns and Primary Systems in Displacement Method 340
11.4 Displacement-Method Equations 345
11.5 Analysis of Statically Indeterminate Beams and Rigid Frames with No Sidesway 350
11.6 Analysis of Statically Indeterminate Rigid and Bent Frames with Sidesway 357
11.7 Analysis of Statically Indeterminate Symmetric Structures 365
11.8 Development of Displacement-Method Equations by Direct Stiffness Method 370
Summary 374
Problems for Reflecting 376
Problems for Solution 377
CHAPTER 12 Method of Successive Approximations and Influence Lines for Indeterminate Structures 383
12.1 General Remarks for Method of Successive Approximations 383
12.2 Concepts and Terminology in Moment Distribution Method 384
12.3 Moment Distribution at a Single Joint-Moment-Distribution Process 389
12.4 Moment Distribution at Multi-Joints-Successive Approximations 395
12.5 No-Shear Moment Distribution Method 408
12.6 Shear Distribution Method 414
12.7 Influence Lines for Forces of Statically Indeterminate Structures 420
12.8 Most Unfavorable Arrangement of Live Loads and Envelops for Internal Forces of Continuous Beams 426
Summary 430
Problems for Reflecting 431
Problems for Solution 432
CHAPTER 13 Matrix Displacement Method 436
13.1 Introduction 436
13.2 Member Stiffness Matrixin Local Coordinate System 441
13.3 Member Stiffness Matrixin Global Coordinate System 446
13.4 Global Stiffness Matrixes of Continuous Beams 451
13.5 Global Stiffness Matrixes of Rigid Frames 460
13.6 Equivalent Nbdal Loads 466
13.7 Procedure for Analysis and Examples 471
13.8 Global Analysis of Rigid Frames without Considering Axial Deformation 480
13.9 Block Diagramand Computer Programs for Plane Framed Structures 485
Summary 509
Problems for Reflecting 510
Problems for Solution 511
CHAPTER 14 General Remarks on Statically Indeterminate Structures 513
14.1 Classification and Comparison of Fundamental Methodused to Analyze Statically Indeterminate Structures 513
14.2 Combined Method-Simultaneously Applying Moment Distribution and Displacement Methods to Frames with Sidesway 513
14.3 Approximate Analysis of Statically Indeterminate Structures 515
14.4 Properties of Statically Indeterminate Structures 520
14.5 Complementary Discussion about Computing Models of Structures 527
Summary 533
Problems for Reflecting 539
Problems for Solution 540
Answers to selected problems 541
Bibliography 554