Chapter 1 Overview
1.1 Objectives and Tasks of Structural Mechanics
1.2 Analytical Models of Structures
1.3 Classification of Structures
1.4 Classification of Loads
Chapter 2 Geometric Construction Analysis of Planer System
2.1 Basic Concepts in Geometric Construction Analysis
2.2 Geometric Construction Rules of Planer Stable Systems
2.3 Calculation of Degrees of Freedom in Planar Systems
2.4 Statically Determinate Structures and Indeterminate Structures
EXERCISES
Chapter 3 Force Analysis of Statically Determinate Structures
3.1 Basic Concepts
3.2 Statically Determinate Multi-span Beam
3.3 Rigid Frame
3.4 Truss
3.5 Three-Hinged Arch
3.6 Mixed Structure
EXERCISES
Chapter 4 Deformation Calculation of Statically Determinate Structure
4.1 Introduction to Structural Deformation
4.2 Principle of Virtual Work
4.3 General Formula for Calculating Structural Deformation Caused by Loads
4.4 Moment-Area Method
4.5 Deformation Calculation of Structurs due to Support Movement and Temperature Change
4.6 Reciprocal Theorem for Linear Elastic System
EXERCISES
Chapter 5 Influence Lines
5.1 The Concept of Influence Lines
5.2 Construction of Influence Lines by Static Method
5.3 Construction of Influence Lines Under Indirect Loads
5.4 Construction of Influence Lines for Trusses
5.5 Construction of Influence Lines by Virtual Displacement Method
5.6 Application of Influence Line
5.7 Internal Force Envelope and Absolute Maximum Bending Moment of Simply Supported Beams
EXERCISES
Chapter 6 Force Method
6.1 Overview of Statically Indeterminate Structures
6.2 Basic Concept of Force Method
6.3 Canonical Equations of Force Method
6.4 Examples of Force Method
6.5 Calculation Structures Under Support Movement and Temperature Changes
6.6 Utilization of Symmetry
6.7 Deformation Calculation and Internal Force Verification
6.8 Characteristics of Statically Indeterminate Structures
6.9 End Forces of a Single-Span Statically Indeterminate Beams
EXERCISES
Chapter 7 Displacement Method
7.1 Basic Concepts of Displacement Method
7.2 Determination of Primary Unknowns
7.3 Canonical Equations of Displacement Method
7.4 Examples of Displacement Method
EXERCISES
Chapter 8 Matrix Displacement Method
8.1 Introduction
8.2 Member Stiffness Matrix
8.3 Coordinate Transformation of Member Stiffness Matrix
8.4 Global Stiffness Matrix
8.5 Boundary Conditions and General Loading
8.6 Examples
EXERCISES
Chapter 9 Dynamic Calculation of Structures
9.1 Overview
9.2 The Equation of Motion of Single-Degree-of-Freedom System
9.3 Free Vibration of Single-Degree-of-Freedom Systems
9.4 Forced Vibration of Single-Degree-of-Freedom Systems
9.5 Free Vibration of Multi-Degree-of-Freedom Systems
9.6 Forced Vibration of a Multi-Degree-of-Freedom System
9.7 Mode Decomposition Method
9.8 Approximate Method for Structure Vibration Frequency Calculation
EXERCISES
Chapter 10 Ultimate Load Analysis of Structures
10.1 Overview
10.2 Plastic Hinge Destruction Mechanism
10.3 The Ultimate Load of a Single Span Statically Indeterminate Beam
10.4 General Theorem of Proportional Loading
10.5 Ultimate Load of a Continuous Beam
10.6 Ultimate Load of Simple Rigid Frame
EXERCISES
Chapter 11 Stability of Structures
11.1 Overview
11.2 Static Method for Calculating Critical Loads
11.3 Stability of Straight Bar with Equal Cross Section of Elastic Support
11.4 Energy Method for Calculating Critical Load
11.5 Stability of Variable Cross Section Compression Bar
11.6 Influence of Shear Force on Critical Load
11.7 Stability of the Combined Pressure Rod
EXERCISES
References
