Engineering Mechanics
第2次开课
开课时间: 2020年09月07日 ~ 2021年01月03日
学时安排: 6 hours/week
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spContent=Let's study together and know more about the importance of mechanics in engineering application.
Let's study together and know more about the importance of mechanics in engineering application.
—— 课程团队
课程概述

Engineering Mechanics is a theoretical fundamental course for engineering specialties. This course is intended to provide students with a clear and thorough picture of both the theory and application of the principles in theoretical mechanics and mechanics of materials. Theoretical mechanics includes three parts: statics, kinematics and kinetics, which mainly studies the general laws of equilibrium or motion of rigid bodies. Mechanics of materials deals with the stress-strain states and strength conditions of components under tension/compression, shear, torsion, bending or combined deformation. This course will provide the necessary mechanics knowledge for the follow-up course studies in engineering specialties. After the study of this course, students are expected to be able to use the basic concepts and theories of mechanics to analyze and solve simple problems in engineering application. Another goal of this course is to effectively train students' logic thinking skills and improve their comprehensive quality.

授课目标

At the end of this course, the students should be able to:

1.    Perform equilibrium analysis of coplanar force systems to solve for unknown reactions in composite bodies.

2.    Analyze the velocities and accelerations of a point or any point in a rigid body by composite motion of a point, theorem for projection of velocities, base point method and instantaneous center for velocities.

3.  Perform the kinematic analysis of particles or rigid bodies by the principle of impulse and momentum, principle of work and kinetic energy, and D’Alembert’s principle.

4.    Solve statically indeterminate problems for axially loaded members.

5.    Plot internal force diagrams for a beam in bending.

6.    Perform stress or strain analysis and strength check for members under combined deformation.


课程大纲

01 Reductions of force systems

1.3 Support reactions and free-body diagrams

Tests for week 1

1.4 Reductions and resultants of force systems

1.2 Basic operations with force systems

1.1 Fundamental concepts of statics

Introduction

Introduction

02 Equilibrium of force systems

2.3 Plane truss analysis

2.2 Equilibrium of composite bodies

Tests for week 2

2.1 Coplanar equilibrium equations

2.4 Center of gravity and centroid

2.5 Friction

03 Kinematics of a point

3.1 Kinematics of a point

04 Translation and rotation of rigid bodies

4.1 Translation and rotation of rigid bodies

05 Composite motion of a point

5.2 Composite motion of a point (II)

5.1 Composite motion of a point (I)

Tests for week 3

06 Plane motion of rigid bodies

6.1 Plane motion of rigid bodies

6.2 Plane motion analysis (I)

Tests for week 4

6.3 Plane motion analysis (II)

07 Kinetics of a particle

7.1 Kinetics of a particle

08 Principle of impulse and momentum

8.2 Principle of impulse and momentum (II)

8.1 Principle of impulse and momentum (I)

Test for week 5

09 Principle of angular impulse and momentum

9.1 Mass moment of inertia

9.2. Principle of angular impulse and momentum

10 Principle of work and kinetic energy

10.1 Principle of work and kinetic energy

Test for week 6

11 D'Alembert's principle

Test for week 7

11.1 D'Alembert's principle

12 Stress

12.2 Stress

12.4 Average shear stress

12.3 Average normal stress in an axially loaded bar

12.1 Equilibrium of a deformable body

12.5 Allowable stress

13 Strain

Test for week 8

13 Strain

15 Axial load

15.4 Thermal stress, the stress on the inclined surface

15.1 Saint-Venant's Principle, Elastic deformation of an axially loaded member

15.2 Elastic deformation of an axially loaded member (continued)

Test for week 9

15.5 Stress concentration

15.3 Principle of superposition, Statically indeterminate axially loaded member

14 Mechanical properties of materials

14.2 The stress-strain diagram

14.3 Stress-strain behavior of ductile and brittle materials

14.1 The tension and compression test

14.4 Hooke's law, Poisson's ratio, the shear stress- strain diagram

17 Bending

17.2 Graphical method for constructing shear and moment diagrams

Test for week 10

17.3 Bending deformation of a straight member

17.1 Shear and moment diagrams

17.4 The flexure formula

16 Torsion

16.3 Angle of twist

16.1 Torsional deformation of a circular shaft

16.2 The torsion formula

16.4 Statically indeterminate torque-loaded members

18 Transverse shear

18.1 Shear in straight members, the shear formula

18.2 Shear stresses in beams

19 Combined loadings

19.2 State of stresses caused by combined loadings

Test for week 11

19.1 Thin-walled pressure vessels

21 Deflections of beams and shafts

21.1 The elastic curve

21.2 Slope and displacement by integration

21.3 Method of superposition, statically indeterminate beams and shafts

Test for Week 12

20 Stress transformation

20.3 Mohr's circle-plane stress

20.1 Plane-stress transformation

20.4 Absolute maximum shear stress

20.2 Principal stresses and maximum in-plane shear stress

展开全部
预备知识

Advanced Mathematics

参考资料

1. Luan Xifu, Zhang Tao and Zhao Chunxiang. Theoretical Mechanics, 1st ed. Harbin Institute of Technology Press, 2007.

2. Hibbeler RC. Engineering Mechanics (Statics), 10th ed. Hoboken Pearson, 2004.

3. Hibbeler RC. Engineering Mechanics (Dynamics), 10th ed. Hoboken Pearson, 2004.

4. Hibbeler RC. Mechanics of Materials, 5th ed. Hoboken Pearson, 2004. 


Beijing Institute of Technology
2 位授课老师
Guangyan LIU

Guangyan LIU

Associate Professor

Liu LIU

Liu LIU

Associate Professor

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