Overview

Mechanics of Materials is a basic technical course for engineering major in colleges and universities, and it is a bridge to the basic and professional courses. Mechanics of Materials is a necessary knowledge for civil engineering, mechanical engineering, road and bridge engineering, aerospace engineering, material engineering and other disciplines. The aim of this course is to provide students with the basic concepts and essential knowledge of the strength, stiffness, and stability of the components in the engineering structure. And to cultivate students' ability to analyze and calculate mechanics in engineering design and to solve practical problems in engineering. The course provides the necessary theoretical basis for students to further study basic and professional courses in other subjects

The main contents of Mechanics of Material including: basic deformation of member, stress state analysis, strength theory, combined deformation, stability of compressive column, energy method, Statically indeterminate problems, dynamic load and alternating stress, etc.

Syllabus

01 Introduction

1.1 The Tasks of Mechanics of Materials
1.2 Basic Concepts and Contents of Mechanics of Material

02 Axial tension compression and shear

2.1 Internal Forces and Stresses of Axial Tension
2.2 Mechanical Properties of Materials in Tension
2.3 Mechanical Properties of Materials in Compression and Strength Condition
2.4 Deformation of Axial Tension and Compression
2.5 Statically Indeterminate Problems of Shear and Bearing
2.6 Shearing

03 Torsion

3.1 Internal force of the Circular Shaft in Torsion
3.2 Stresses of the Circular Shaft in Torsion
3.3 Strength Condition and Stiffness Condition of the Circular Shaft in Torsion

04 Geometric properties of the section

4.1 Geometric Properties of The section 1
4.2 Geometric Properties of The section 2

05 Internal force in Bending

5.1 Internal Force in Bending
5.2 Shear Force and Bending Moment Diagrams 1
5.3 Shear Force and Bending Moment Diagrams 2
5.4 Internal Force Diagrams of Continuous beam, Plane rigid Frame and Bending bar

06 Stress in bending

6.1 Normal Stress in Bending
6.2 Shear Stress in Bending
6.3 Strength Conditions of Beam in Bending

07 Deformation of Beam

7.1 Deformation of Beam and Approximately Differential Equation of the Deflection Curve
7.2 Deflection by Integration
7.3 Deformation of Beam by Superposition Method
7.4 Simple Statically Indeterminate Beams

08 Stress state analysis and strength theory

8.1 Introduction of Stress State
8.2 Plane Stress State Analysis - Analytical Method
8.3 Analysis of Plane Stress—Mohr’s Circle
8.4 Triaxial Stress State
8.5 Generalized Hooke’s Law
8.6 Strain Energy Density in Triaxial Stress State
8.7 Strength Theories

09 Combined Deformation

9.1 Introduction of Combined Deformation
9.2 Skew Bending
9.3 Combination of Axial Loading and Bending
9.4 Eccentric Compression or Tension · Core of Section
9.5 Combined Deformation of Torsion and Bending

10 Stability of Compressive Columns

10.1 Introduction to Stability of Compressive Columns
10.2 Euler’s Formula of the Critical Pressure of Slender Compressive Columns
10.3 Application Range of Euler’s Formula · Empirical Formula
10.4 Stability Check of Compressed columns
10.5 Methods to Improve the Stability of Compressive Column

11 Energy Method

11.1 Work Done by External Forces and Strain Energy
11.2 Complementary Energy Theorem
11.3 Castigliano’s Second Theorem
11.4 Principle of Virtual Work
11.5 Dummy-load method
11.6 Mohr Integral
11.7 Reciprocal theorem

12 Statically Indeterminate problems

12.1 Introduction of Statically Indeterminate Structures
12.2 The Application of Castigliano’s Second Theorem in Solving Statically Indeterminate Problem
12.3 The Application of Mohr's Integral in Solving Statically Indeterminate Problems
12.4 Canonical Equation of the Force Method
12.5 The Application of Symmetric and Antisymmetric Properties

13 Dynamic load

13.1 Introduction of Dynamic Load
13.2 Application of D'Alembert's Principle in Dynamic Load
13.3 Application of Energy Method in Impact Problem

14 Alternative Stress

14.1 Alternative Stress and Fatigue Failure

Taught by

Jing Liu

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