ContentsChapter 1 Introduction 11.1 Research Object and Tasks of Structural Analysis 11.1.1 Research Object 11.1.2 Tasks 31.2 Computational Models of Structures 41.2.1 Simplification of Structural Systems 51.2.2 Simplification of Members 51.2.3 Simplification of Joints 51.2.4 Simplification of Supports 61.2.5 Simplification of Material Properties 71.2.6 Simplification of Loads 71.3 Classification of Member Structures and Loads 81.3.1 Classification of Member Structures 81.3.2 Classification of Loads 101.4 A Brief History of the Development of Structural Analysis 111.4.1 Energy Principles and Energy Methods 111.4.2 Force Method and Displacement Method 131.4.3 Matrix Displacement Method and Finite Element Method 161.4.4 A Brief Introduction to Important Figures in Structural Analysis 19Chapter 2 Kinematic Analysis of Planar Member Systems 232.1 Several Concepts of Kinematic Analysis 242.1.1 Degree of Freedom and Constraint 242.1.2 Instantaneously Changeable System and Constantly Changeable System 262.1.3 Instantaneous Hinge 272.2 Basic Construction Rules of Geometrically Unchangeable Plane Systems 282.2.1 Rule of Pin Joined Member System 282.2.2 Rule of Two Rigid Discs 282.2.3 Rule of Three Rigid Discs 292.3 Computational Degree of Freedom of Planar Member Systems 342.3.1 Computational Degree of Freedom of Rigid Disc System 352.3.2 Computational Degree of Freedom of Hinged System 362.3.3 Computational Degree of Freedom of Mixed System 372.4 Geometrical Stability and Static Determinacy of Systems 39Problems 40Chapter 3 Analysis of Statically Determinate Structures 433.1 Single Span Statically Determinate Beams 443.1.1 Single Span Statically Determinate Beams and Internal Forces 443.1.2 Relations Between Loads and Internal Forces 453.1.3 Method of Segmental Superposition 473.2 Multi Span Statically Determinate Beams 503.3 Statically Determinate Plane Trusses 553.3.1 Characteristics and Classification of Trusses 553.3.2 Method of Joints 573.3.3 Method of Sections 603.3.4 Combined Application of the Method of Joints and the Method of Sections 623.4 Statically Determinate Plane Frames 643.4.1 Characteristics of Frames 643.4.2 Calculation of Support Reactions 643.4.3 Internal Force Analysis and Drawing Internal Force Diagram of Frames 673.4.4 Quick Drawing of Moment Diagrams of Statically Determinate Frames 753.5 Statically Determinate Composite Structures 783.6 Three Hinged Arches 823.6.1 Support Reactions and Internal Force Calculation of Three Hinged Arches 833.6.2 Rational Axes of Three Hinged Arches 883.7 General Properties of Statically Determinate Structures 92Problems 95Chapter 4 Principle of Virtual Work and Deflection Calculation 1014.1 Overview of Deflection Calculation 1014.1.1 Concept of Structural Displacements 1014.1.2 Purpose of Deflection Calculation 1024.2 Principle of Virtual Work for Deformable Structures 1034.2.1 Principle of Virtual Work for Rigid Body System 1034.2.2 Application Conditions of Principle of Virtual Work for Deformable Structures 1044.2.3 Virtual Work Equation for Deformable Structures 1064.2.4 Principle of Virtual Forces and Principle of Virtual Displacements 1094.3 Unit Load Method for Structural Deflection Calculation 1104.4 Deflection Calculation under Loads 1134.4.1 Formula for Deflection Calculation under Loads 1134.4.2 Deflection Formulas for Various Structures 1154.4.3 Examples of Deflection Calculation under Loads 1164.5 Graph Multiplication Method 1214.5.1 Graph Multiplication Method and Its Application Conditions 1214.5.2 Several Specific Problems of Applying Graph Multiplication Method 1224.5.3 Examples of Graph Multiplication Method 1244.6 Deflection Calculation under Temperature Change 1274.7 Reciprocal Theorems of Linearly Elastic Structures 1294.7.1 Theorem of Reciprocal Works 1304.7.2 Theorem of Reciprocal Displacements 1314.7.3 Theorem of Reciprocal Reactions 1324.7.4 Theorem of Reciprocal Displacement Reaction 133Problems 134Chapter 5 Force Method 1385.1 Determination of Degree of Static Indeterminacy 1395.1.1 Equilibrium and Geometric Construction Characteristics of Statically Indeterminate Structures 1395.1.2 Determination of Degree of Indeterminacy and Number of Redundant Constraint Forces 1395.2 Fundamental Concept of the Force Method 1415.2.1 Primary Unknowns， Primary System， and Basic Equations of Force Method 1425.2.2 Analysis of Structures with Multiple Degrees of Indeterminacy by Force Method 1455.2.3 Canonical Equations of Force Method 1475.3 Analysis of Statically Indeterminate Frames and Bent Structures 1495.4 Analysis of Statically Indeterminate Trusses and Composite Structures 1575.5 A
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