Chapter 1 Introduction
1.1 Subjects and Primary Tasks of Structural Mechanics
1.2 Analytical Diagrams of Structures
1.3 Classification of Structures and Loads
1.4 Basic Hypotheses
Problems
Chapter 2 Geometric Construction Analysis of Plane Systems
2.1 Introduction
2.2 Necessary Conditions of Geometrically Stable Systems
2.3 Basic Rules of Geometric Construction Analysis
2.4 Examples of Geometric Construction Analysis
2.5 Geometric Stability and Static Determinacy
Problems
Chapter 3 Statically Determinate Structures
3.1 Introduction
3.2 Statically Determinate Beams and Plane Frames
3.3 Three-hinged Arches
3.4 Statically Determinate Plane Trusses
3.5 Composite Structures
3.6 Statically Determinate Space Structures
3.7 General Features of Statically Determinate Structures
Problems
Chapter 4 Influence Line of Statically Determinate Structures
4.1 General Concepts of Moving Loads and Influence Lines
4.2 Static Method
4.3 Kinematic Method
4.4 Combined Method
4.5 Application of Influence Lines
4.6 Envelope Diagram and Absolute Maximum Bending Moment
Problems
Chapter 5 Structural Displacement Calculation
5.1 Introduction
5.2 Principle of Virtual Work of Deformable Bodies
5.3 General Formula and Unit Load Method
5.4 Calculation of Load Induced Displacements
5.5 Graph-multiplication Method
5.6 Calculation of Non-load Actions Induced Displacements
5.7 Reciprocal Theorems of Linear Elastic Systems
Problems
Chapter 6 Force Method
6.1 Basic Concepts of Force Method
6.2 Degree of Indeterminacy and Primary Structures
6.3 Principles and Equations of Force Method
6.4 Analysis Examples of Force Method
6.5 Analysis of Symmetric Structures
6.6 Force Method Analysis Under Non-load Actions
6.7 Displacement Calculation of Statically Indeterminate Structures
6.8 Internal Force Check of Statically Indeterminate Structures
6.9 Statically Indeterminate Arches
Problems
Chapter 7 Displacement Method
7.1 Basic Concepts of Displacement Method
7.2 Primary Unknowns and Primary Structure of Displacement Method
7.3 Slope-deflection Equations
7.4 Principles and Equations of Displacement Method
7.5 Analysis Examples of Displacement Method
7.6 Analysis of Symmetric Structures
7.7 Displacement Method Analysis Under Non-load Actions
Problems
Chapter 8 Matrix Displacement Method
8.1 Introduction
8.2 Basic Principles of Matrix Displacement Method
8.3 Element Stiffness Matrix
8.4 Direct Stiffness Method
8.5 Pre-processing Method
8.6 Equivalent Nodal Loads
Problems
Chapter 9 Practical Calculation Methods and Conceptual Analysis of Statically Indeterminate Structures
9.1 Introduction
9.2 Moment Distribution Method
9.3 Shear Force Distribution Method
9.4 Conceptual Analysis of Statically Indeterminate Structures
9.5 Influence Lines of Statically Indeterminate Structures
Problems
Chapter 10 Structural Dynamics
10.1 Introduction
10.2 Degree of Freedom of Vibrational Systems
10.3 Equations of Motion of SDOF Systems
10.4 Free Vibration of SDOF Systems
10.5 Forced Vibration of SDOF Systems
10.6 Free Vibration of MDOF Systems
10.7 Orthogonality of Principal Mode Shapes
10.8 Forced Vibration of MDOF Systems
10.9 Free Vibration of Systems with Infinite Degrees of Freedom
10.10 Approximate Methods for Determination of Natural Frequencies
10.11 Finite Element Method for Determination of Natural Frequencies
Problems
Chapter 11 Elastic Stability of Structures
11.1 Introduction
11.2 Stability of Systems with Finite Degrees of Freedom
11.3 Static Method for Critical Load of Elastic Compressed Bars
11.4 Energy Method for Critical Load of Elastic Compressed Bars
11.5 Stability of Composite Compressed Members
11.6 Stability of Frames
11.7 Stability of Arches