Engineering Mechanics is a theoretical fundamental course for engineering specialties. This course is to provide a clear and thorough presentation of the theory and application of engineering mechanics. It has the following features:
1) Present the concepts, principles and the illustrative examples in a logical and orderly manner. Often the typical example problems include several solutions or give the clues of several solutions. The relationship between various principles is thoroughly analyzed and how to choose the best principle for solving a given problem is discussed.
2) Continuously emphasize the importance of communicating solutions through diagrams, including free-body diagram, kinematic diagram, kinetic diagram and the impulse and momentum diagram.
It is hoped that the course can help build students’ strong conceptual understanding of the basic principles and develop the ability to apply these principles for successfully solving mechanics problems.
1. Let students have the knowledge of creating idealized models, drawing free-body diagrams, applying equations of equilibrium or equations of motion for a particle, a system of particles, a rigid body and a system of rigid bodies. Understand the basic principles of analysis and designs of structural members.
2. Master the fundamental concepts and calculations which will be widely used in the further study of other courses of mechanics and professional courses.
3. Improve the students’ professional abilities through the training of problem-solving.
4. Promote the students’ capacity of all aspects, including creativity, communication ability, cooperating spirits, leadership, etc.
Week 1 Lesson 1
Chapter 1 Introduction
2.1 Scalars and vectors and Vector operations
2.2 Cartesian vectors
Typical example in Lesson 1
Assignment for Lesson 1
Week 1 Lesson 2
2.3 Position vectors and Force vector directed along a line
2.4 Dot product
Chapter 3 Equilibrium problems of a particle
Part of courseware
Assignment for Lesson 2
Week 2 Lesson 3
Review of Chapter 1-3
4.1 Moment of a force-scalar formulation
4.2 Cross product
Part of courseware
Test of Chapter 1-3.
Assignment for Lesson 3
Week 2 Lesson 4
4.3 Moment of a force-vector formulation
4.4 Moment of a force about a specified axis
Typical example in Lesson 4
Assignment for Lesson 4
Week 3 Lesson 5
4.5 Moment of a couple
4.6 Simplification of a system of Forces and Couples
Typical example in Lesson 5
Assignment for Lesson 5
Week 3 Lesson 6
4.7 Reduction of a Simple Distributed Loading
4.8 Center of Gravity and Centroid
Part of courseware
Assignment for Lesson 6
Week 4 Lesson 7
Review of Chapter 4
5.1 Conditions for rigid-body equilibrium
5.2 Support Reactions in 2-D
5.3 Free-body diagrams
5.4 Two force members
Part of courseware
Assignment for lesson 7
Test of Chapter 4.
Week 4 Lesson 8
5.5 Equilibrium problems in 2-D
5.6 Support reactions in 3-D
Typical example in Lesson 8
Assignment for lesson 8
Week 5 Lesson 9
5.7 Equilibrium problems in 3-D
5.8 Constrains and statical determinacy
Typical example in Lesson 9
Assignment for lesson 9
Week 5 Lesson 10
5.9 Simple trusses
Typical example in Lesson 10
Assignment for lesson 10
Week 6 Lesson 11
5.10 Frames and machines
Review of Chapter 5
Part of courseware
Test for Chapter 5
Assignment for lesson 11
Week 6 Lesson 12
6.1 Characteristics of dry friction
6.2 Problems involving dry friction
6.3 Rolling resistance
Part of courseware
Typical problems in Lesson 1
Typical problems in Lesson 2
Assignment for lesson 12
Week 7 Lesson 13
Review of Chapter 6
7.1 General continuous motion of a particle
7.2 Curvilinear motion: rectangular components
Typical example in Lesson 13
Typical Problem in Test of Chapter 1-3
Typical problems in Lesson 5
Assignment for lesson 13
Test for Chapter 6
Week 7 Lesson 14
7.3 Curvilinear motion: normal and tangential components
Part of courseware
Typical Problem in Test of Chapter 4
Assignment for lesson 14
Week 8 Lesson 15
7.4 Absolute dependent motion analysis of particles
7.5 Relative motion of two particles using translating axes
Typical example in Lesson 15
Assignment for lesson 15
Week 8 Lesson 16
Review of Chapter 7
8.1 Planar rigid-body motion
8.2 Translation
8.3 Rotation about a fixed axis
Part of courseware
Assignment for lesson 16
Test for Chapter 7
Week 9 Lesson 17
8.4 Absolute Dependent Motion Analysis of Bodies
8.5 General plane motion:relative-motion analysis of velocity
Part of courseware
Typical Problem in Test of Chapter 5
Assignment for lesson 17
Week 9 Lesson 18
8.6 Instantaneous Center of Zero Velocity
8.7 General plane motion:relative-motion analysis of acceleration
Typical example in Lesson 18
Assignment for lesson 18
Week 10 Lesson 19
Review of Chapter 8
Typical example in Lesson 19
Typical Problem in Test of Chapter 6
Test of Chapter 8
Assignment for lesson 19
Week 10 Lesson 20
9.1 Newton’s second law of motion
9.2 Equation of motion for a particle
Typical example in Lesson 20
Assignment for lesson 20
Week 11 Lesson 21
9.3 Equation of motion for a system of particles
9.4 Mass moment of inertia
Typical example in Lesson 21
Typical Problem in Test of Chapter 7
Assignment for Lesson 21
Week 11 Lesson 22
9.5.1 Planar kinetic equations of motion
9.5.2 Equations of motion: translation
9.5.3 Equations of motion: rotation about a fixed axis
Part of courseware
Assignment for Lesson 22
Week 12 Lesson 23
9.5.4 Equations of motion: general plane motion
Part of courseware
Assignment for Lesson 23
Week 12 Lesson 24
Review of Chapter 9
10.1 Work and power
Part of courseware
Test of Chapter 9
Assignment for Lesson 24
Week 13 Lesson 25
10.2 Kinetic energy
10.3.1 Principle of work and energy for a particle
10.3.2 Principle of work and energy for a system of particles
10.3.3 Principle of work and energy for rigid bodies in plane motion
Typical examples in Lesson 25
Typical Problem in Test of Chapter 8
Assignment for Lesson 25
Week 13 Lesson 26
10.4 Conservative forces and conservation of energy
Review of Chapter 10
Part of courseware
Assignment for Lesson 26
Test of Chapter 10
Week 14 Lesson 27
11.1 Principle of linear impulse and momentum for a particle
Part of courseware
Assignment for Lesson 27
Week 14 Lesson 28
11.2 Principle of angular impulse and momentum for a particle
11.3 Linear and angular momentum of a system of particles
Part of courseware
Assignment for Lesson 28
Week 15 Lesson 29
11.4.1 Principle of impulse and momentum for a system of particles
Typical Problem in Test of Chapter 9
Assignment for Lesson 29
Week 15 Lesson 30
11.4.2 Principle of impulse and momentum for a system of bodies
11.5.1 Conservation of linear momentum
Part of courseware
Assignment for Lesson 30
Week 16 Lesson 31
11.5.2 Conservation of angular momentum
Review of Chapter 11
Part of courseware
Typical Problem in Test of Chapter 10
Prerequisites:
Advanced Mathematics
College Physics
Reference books:
[1] Ping YI, Jun LIU, Feng JIANG, 2022. Engineering Mechanics, France: EDP Sciences.
[2] Hibbeler R C,2004.Engineering Mechanics:Statics.Beijing:Higher Education Press.
[3] Hibbeler R C,2004.Engineering Mechanics:Dynamics.Beijing:Higher Education Press.
本课程采取百分制,单元测验占50%,期末考试占50%;60分及格。