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Engineering mechanics: Statics and dynamics
第11次开课
开课时间: 2025年03月01日 ~ 2025年06月30日
学时安排: 4-5小时每周
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课程详情
课程评价(19)
spContent=Engineering mechanics is divided into statics and dynamics. It is essential for the design and analysis of many types of structural members and mechanical components and would provide a clear and thorough presentation of the theory and application of engineering mechanics.
Engineering mechanics is divided into statics and dynamics. It is essential for the design and analysis of many types of structural members and mechanical components and would provide a clear and thorough presentation of the theory and application of engineering mechanics.
—— 课程团队
课程概述

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.

授课目标

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. 

课程大纲

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

展开全部
预备知识


Prerequisites:

 

Advanced Mathematics 

College Physics 


参考资料

Reference books:




[1]   Ping YI, Jun LIU, Feng JIANG, 2022. Engineering Mechanics, France: EDP Sciences.

[2] Hibbeler R C2004Engineering MechanicsStaticsBeijingHigher Education Press

[3]   Hibbeler R C2004Engineering MechanicsDynamicsBeijingHigher Education Press




常见问题

本课程采取百分制,单元测验占50%,期末考试占50%;60分及格。

Dalian University of Technology
2 位授课老师
Ping YI

Ping YI

Professor.

Jun LIU

Jun LIU

Professor.

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