Structural Mechanics I
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课程详情
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spContent=Welcome to Structural Mechanics I! Structural Mechanics is a fundamental and required course for Civil Engineering students. This English MOOC course is uniquely designed for both international and Chinese students and has the following features: (1) The corresponding course in Chinese at Beijing Jiaotong University has been awarded national “First class course (Gold course)” and the university "Excellent Course." (2) The teaching materials were developed by a teaching group with extensive teaching experiences and have been used many times to teach international and Chinese students. (3) The instructors have extensive teaching experiences, both in English-spoken country and China. Thanks for your trust on us and taking this course! We welcome any comments and feedback.
—— 课程团队
课程概述

The role of Structural Mechanics for civil engineers is like the backbone of trees and the soul of human beings. In this course, you will learn the basic mechanical characteristics and deformation characteristics of common structures in engineering, master the basic principles and methods of internal force and displacement calculation of structures. It will provide a strong background for your future work and study in the planning, design, construction and other fields of civil engineering structures. 


Structural Mechanics I is the first part of a series of structural mechanics courses at Beijing Jiaotong University. It is a required course for undergraduate students majoring in civil engineering (including road and railway, urban rail transit, architecture and urban planning, water supply and drainage, building materials, etc.), with dual characteristics of basic theory and engineering application. It is an important course for students to lay the foundation of mechanical knowledge and engineering skills.


This MOOC course of Structural Mechanics I is elaborately constructed by the teaching group of Structural Mechanics at Beijing Jiaotong University, including Profs. Zhifei Shi, Guilan Yu, Ying Jia, Hongjun Xiang, Yanqiu Xu, Yanmei Cao, and An Chen. It is taught by Profs. An Chen and Yanmei Cao. The main contents of the course include: analysis of geometric composition of plane system, internal force calculation and analysis of statically indeterminate structure, displacement calculation of structure, force method to solve statically indeterminate structure, displacement method to solve statically indeterminate structure, and moment distribution method. These contents will be presented to you through a number of mini videos, each of which is about 5-10 minutes in length, so that you can grasp the essence and core of each knowledge point in a short time. The teaching process mainly includes video teaching, practices, discussions, Q&As, unit tests and final examination. Adequate exercises and test questions are another feature of this course, so that you can improve the understanding and consolidation of knowledge through multiple exercises.


This course is a pre-requisite course for other design courses in Civil Engineering, such as the Reinforced Concrete Design, Steel Design, etc.


授课目标

Through this course, you will achieve the following learning objectives:


1) Be able to identify and draw computing models of common planar structures.

2) Have a deep understanding of the composition rules of the plane geometry invariant system, and be able to apply them to skillfully analyze the geometry composition of the system.

3) Master the principle and method to find internal forces of statically determinate structure, including accurately calculate the internal force of statically determinate multi-span beam, rigid frame, truss and composite structure, draw their internal force diagrams, master the internal force calculation method of statically determinate arch, understand the concept and application of rational arch axis, summarize the stress characteristics of statically determinate structure, and make qualitative judgment on the reasonable performance of internal force distribution.

4) Be familiar with the inherent meaning of the principle of virtual work, and be able to use the principle of virtual work to skillfully solve the displacement of the structure under the load, and grasp the calculation method of the structural displacement caused by the temperature change and the bearing movement.

5) Master the methods and principles of statically indeterminate structure (force method, displacement method and moment distribution method), be able to combine theory with practice, and apply the knowledge learned to find, analyze and solve practical problems in engineering.


课程大纲
预备知识

The prerequisite course of this course is engineering mechanics (including Theoretical Mechanics and Material Mechanics). Students need to master some basic knowledge of mechanics, such as the equilibrium conditions of the system of converging force and plane force, and the mechanical properties of a single elastic member. 


参考资料

[1] Bao Shihua, Gong Yaoqing. Structural Mechanics (in English), Wuhan University of Technology Press, 2008. 

[2] Li Liankun. Structural Mechanics (in Chinese), 6th edidtion, Higher Education Press, China. 

[3] Leet et al. Fundamentals of Structural Analysis, 5th edition, McGraw Hill 

[4] R.C. Hibbeler. Structural Analysis, 8th edtion.



常见问题

Q1: Is this course useful for postgraduate entrance examination?

A1: Learning this course is helpful for preparing entrance examination for graduate school. For most universities, "Structural Mechanics" is a required subject in the entrance exam. This MOOC course can provide you with video lectures of knowledge points. What is more helpful for you is a large number of exercises (including unit test following each chapter, mid-term exam, final exam, etc.), which will help you to understand more about the course. When you encounter difficult problems, you can ask questions online at any time. We have teachers who will timely answer your questions.

 

Q2: What are the components of the final score for this course?

A2: The components of the final score is as follows:

(1) The unit test of each chapter accounts for 40% of the total score. There are a total of six unit tests, and the average score is considered;

(2) The final exam accounts for 60% of the total score. It is comprehensive, covering all materials in this course.

 

Q3: Structural Mechanics I has long been regarded as one of the most difficult courses. How can we learn it effectively?

A3: Structural Mechanics is a pain for many beginners and students who are reviewing it to take the postgraduate entrance examination. The reason is that, although there are only a few types of structures and loads, the specific form of structure and the location of load are changeable. For example, the change of the position of a member or the change of the form of a node in the structure is enough to cause the change of the structure type and redistribution of the internal forces of the structure.

 

However, although the subject of Structural Mechanics is ever-changing, there is always a rule to follow, which is the equilibrium of structure. Therefore, how to understand the equilibrium of the structure (including the global equilibrium and local equilibrium), how to find these equilibriums and correctly draw the internal force diagram of the structure so as to correctly solve the displacement of statically determinate structure, is the key to learn this course. Unfortunately, at the beginning of learning this course, the internal force analysis part of statically indeterminate structure brings the students the illusion of deja vu, so they do not pay attention to it. When they start to learn statically indeterminate structure later, the debt of statically indeterminate part is reflected. At this time, the students mistakenly think that the statically indeterminate part is not learned well, and they put most of their energy on learning to solve statically indeterminate structure above. This is a typical misunderstanding of learning Structural Mechanics. The correct understanding is that, it is highly necessary to pay enough attention to the internal force analysis and displacement calculation of statically determinate structures, for both beginners and students preparing for postgraduate entrance examination.

 

The contents of the chapters at the beginning and the end of Structural Mechanics are highly coherent. In the course, you should master the basic concepts and principles, deeply understand the physical meaning of formulas and symbols, and draw inferences from one instance. When watching videos and listening to lectures, you should grasp the main line, the key points and the difficult points, grasp the analysis ideas and methods. You should not be greedy for more and faster, but pay attention to accumulation.

 

Q4: When will the teaching videos, electronic teaching materials, units tests and final exam of this course be updated?

A4: In order to meet different needs of different students, the teaching videos, in-class tests and electronic teaching materials will be uploaded to MOOC within two weeks of the beginning of the course. You can learn it based on your own schedule.

 

As both the unit tests and the final exam will be included in the final score, they will be released within the specified date based on the progress of the course. They need to be submitted before the specified deadline.


Q5: What is the teaching calendar?

A5: The teaching calendar is as follows. There are a total of 16 weeks, with 2 lectures (4 hours) for each week.


Week

Lecture

Knowledge Point

Title

1

1

1

1.0 Overview of structural mechanics

2

1.1 Structures and their classification

3

1.2 Classifications of loads and actions

4

1.3 Connections and their classification

5

1.4 Supports and their classification

6

1.5 Computing model of the structure

1

2

7

2.1 Geometrically Stable and Unstable System

8

2.2 Concept of Degree of Freedom (DOF) and Restraints

9

2.3 Elementary Geometric Construction Rules of Planar Stable Framed   Systems without Redundant Restraints

10

2.4 The Connection of Two Rigid Bodies in the Same Plane

11

2.5 The Connection of Three Rigid Bodies in the Same Plane

2

3

12

2.6 The Connection of a Point and a Rigid Body

13

2.7 System with Virtual Hinges at Infinity

14

2.8 Examples of geometric construction analysis

2

Unit test 1Geometric Construction Analysis of   Planar Framed System

3

4

15

3.1 Basic characteristics and classification of statically determinate   structures

16

3.2 A method of computing internal forces Method of Sections

17

3.3 Relationship between Loads, Shear Force and Bending Moment

3

5

18

3.4 Construction of Internal Force Diagrams

19

3.5 Construction of Bending Moment Diagram by Principle of Superposition   for Straight Members

4

6

20

3.6 Internal Force Analysis of Statically Determinate Multi-span Beams

21

3.7 Analysis of Statically Determinate Plane Rigid Frames

4

7

22

3.8 Construct the bending moment diagram by qualitative analysis

23

3.9 Three hinged arches and optimal center lines of arches

5

Unit test 2: Internal forces of static beams, rigid frames, and   arches

5

8

24

3.10 Fundamental methods to calculate axial forces of plane statically   determinate trusses

25

3.11 Identify the zero-force members

6

9

26

3.12 Analysis of statically determinate composite structures

6

10

27

3.13 General properties of statically determinate structures

7

Unit test 3 Internal forces of truss and   composite structures

7

11

28

4.1 Basic Concept and Reasons Causing Displacement

29

4.2 Principle of Virtual Work

8

12

30

4.3 General Equation and Unit Load Method for Computing Displacement

31

4.4 Calculation of Displacement Caused by Loads

8

13

32

4.5 Graph-multiplication Method

33

4.6 Examples Using Graph-multiplication Method

9

14

34

4.7 Displacement of Statically Determinate Structures due to Temperature   Change

35

4.8 Displacement of Statically Determinate Structures due to Support   Settlement

9

15

36

4.9 Displacement of Statically Determinate Structures due to Fabrication   Error

37

4.10 Reciprocal Theorem of Linear Elastic Structure

10

Unit test 4Displacement of structures

10

16

38

5.1 Determination of degree of indeterminacy

39

5.2 Theory of force method

11

17

40

5.3 Examples of force method

11

18

41

5.4 Application of symmetry

12

19

42

5.5 Displacement calculation of indeterminate structures

12

20

43

5.6 Temperature change of indeterminate structures

44

5.7 Support settlement of indeterminate structures

13

Unit test 5: Force method

13

21

45

6.1 Theory of displacement method

46

6.2 Basic structure and unknowns

14

22

47

6.3 Procedures for displacement method

14

23

48

6.4 Examples of displacement method

15

24

49

7.1 Moment distribution method

50

7.2 Examples of moment distribution method

 15

Unit test 6: Displacement method and moment distribution method

 16

Final Exam