spContent=This course is to provide students with a clear and thorough presentation of both the theory and application of mechanics of materials. Understanding is based on explanation of the behaviour of material under load and then modeling this behaviour to develop the theory.
This course is to provide students with a clear and thorough presentation of both the theory and application of mechanics of materials. Understanding is based on explanation of the behaviour of material under load and then modeling this behaviour to develop the theory.
—— 课程团队
课程概述
This course is to provide students with a clear and thorough presentation of both the theory and application of the fundamental principles of mechanics of materials. Understanding is based on explanation of the physical behaviour of material under load and then modeling this behaviour to develop the theory. Emphasis is placed on the importance of satisfying equilibrium, compatibility of deformation, and material behaviour requirements. The course covers the following topics including the important concepts of statics, a formal definition of both normal and shear stress, normal stress in axially loaded members, average shear stress caused by direct shear, the formal concept of strain, some important mechanical properties of materials, the mechanical behavior of structures under axial load, torsion and bending, a discussion of thin-walled tubes, shear flow, stress and strain transformation, Mohr's circle, deflections of beams and shafts and stability.
授课目标
After completing this course, a student should be able to:
1. Calculate and understand the concepts of stress and strain;
2. Calculate, describe, and estimate external loadings, including axial load, shear force, bending, and torsion, and the resulting deformations and internal stresses associated with these external loadings;
3. Calculate and describe the internal stresses and deformations that result in combined loading conditions;
4. Calculate internal stresses and strains through the application of stress transformation equations and Mohr’s circle;
5. Design components to meet desired needs in terms of strength and deformation.
6. Foster effective mathematical and graphical communication skills.
7. Cultivate ethical engineering decisions
课程大纲
Chapter 1: Stress
课时目标：we will review some of the important principles of statics and show how they are used to determine the internal resultant loadings in a body. Afterwards the concepts of normal and shear stress will be introduced, and specific applications of the analysis and design of members subjected to an axial load or direct shear will be discussed.
1.1 Review of statics, external forces, internal forces and the method of sections
1.2 The method of sections with examples
1.3 The stress
1.4 The factor of safety
1.5 The presentation-static, external force, method of sections, et. al.
1.6 The presentation-Stress, et. al.
1.7 The presentation-average shear stress and allowable stress
Chapter 2: Strain
课时目标：In engineering the deformation of a body is specified using the concepts of normal and shear strain. In this chapter we will define these quantities and show how they can be determined for various types of problems.
Chapter 3: Mechanical Properties of Materials
课时目标：Having discussed the basic concepts of stress and strain, we will in this chapter show how stress can be related to strain by using experimental methods to determine the stress-strain diagram for a specific material. The behavior described by this diagram will then be discussed for materials that are commonly used in engineering.
3.1 The tension and compression test and the stress-strain diagram
3.2 Ductile material and brittle material
3.3 Mechanical properties of materials
Chapter 4: An axial loaded member
课时目标：In this chapter we will discuss how to determine the deformation of these members, and we will also develop a method for finding the support reactions when these reactions cannot be determined strictlyfrom the equations of equilibrium. An analysis of the effects of thermal stress will also be discussed.
4.1 Saint-Venant’s principle and the displacement
4.2 The principle of superposition and the statically indeterminate problem
4.3 The thermal stress and the stress on the inclined surface
Chapter 5: Torsion
课时目标：We will discuss the effects of applying a torsional loading to a long straight member such as a shaft or tube. Initially we will consider the member to have a circular cross section. We will show how to determine both the stress distribution within the member and the angle of twist when the material behaves in a linear elastic manner and also when it is inelastic. Statically indeterminate analysis of shafts and tubes will also be discussed.
5.1 The concept of the torsion
5.2 Torsional formula
5.3 Angle of twist
5.4 The statically indeterminate shaft
Chapter 6:Bending
课时目标：The chapter begins with a discussion of how to establish the shear and moment diagrams for a beam or shaft. Like the normal-force and torque diagrams, the shear and moment diagrams provide a useful means for determining the largest shear and moment in a member, and they specify where these maximums occur. Once the internal moment at a section is determined, the bending stress can then be calculated. First we will consider members that are straight, have a symmetric cross section, and are made of homogeneous linear elastic material. Afterward we will discuss a special case involving unsymmetric bending.
6.1 Shear and Moment Diagrams
6.2 Graphical Method for Constructing Shear and Moment Diagrams
6.3 Bending Deformation of a Straight Member
6.4 The Flexure Formula
6.5 Unsymmetric Bending
Chapter 7 Transverse Shear
课时目标：In this chapter, we will develop a method for finding the shear stress in a beam having a prismatic cross section and made from homogeneous material that behaves in a linear-elastic manner. The method of analysis to be developed will be somewhat limited to special cases of cross-sectional geometry. The concept of shear flow, along with shear stress, will be discussed for beams and thin-walled members.
7.1 Shear in Straight Members and The Shear Formula
7.2 Shear Stresses in Beams
7.3 Shear Flow in Built-up Members
7.4 Shear Flow in Thin-Walled Members
Chapter 8 Combined Loadings
课时目标：We will discuss the solution of problems where several of these internal loads occur simultaneously on a member’s cross section.
8.1 Thin-walled Vessels
8.2 State of Stress Caused by Combined Loadings
Chapter 9 Stress Transformation
课时目标：In this chapter, we will show how to transform the stress components that are associated with a particular coordinate system into components associated with a coordinate system having a different orientation. Plane-stress transformation will be discussed in the first part of the chapter. At the end of the chapter we will discuss a method for finding the absolute maximum shear stress at a point when the material is subjected to both plane and three-dimensional states of stress.
9.1 General Equations of Plane-Stress Transformation
9.2 Principal Stresses and Maximum In-Plane Shear Stress
9.3 Mohr's Circle-Plane Stress
9.4 Absolute Maximum Shear stress
Chapter 12 Deflections of Beams and Shafts
课时目标：we will discuss various methods for determining the deflection and slope at specific points on beams and shafts. The analytical methods include the integration method and the method of superposition. At the end of the chapter, we will use these methods to solve for the support reactions on a beam or shaft that is statically indeterminate.
12.1 The Elastic Curve
12.2 Slope and Displacement by Integration
12.3 Statically Indeterminate Beams ans Shafts-Method of Superposition
Chapter 13 Buckling of Columns
课时目标：The chapter begins with a general discussion of buckling, followed by a determination of theaxial load needed to buckle a so-called ideal column. Afterwards, a more realistic analysis is considered, which accounts for any bending of the column.
13.1 Critical load
13.2 Ideal Column with Pin Supports
13.3 Columns Having Various Types of Supports
展开全部
预备知识
Calculus, Theoretical Mechanics, Physics
证书要求
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完成课程教学内容学习和考核，成绩达到课程考核标准的学生（每门课程的考核标准不同，详见课程内的评分标准），具备申请认证证书资格，可在证书申请开放期间（以申请页面显示的时间为准），完成在线付费申请。
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参考资料
1. Russell C. Hibbeler, Mechanics of Materials, 8th ed., 2013, ISBN 9787111444800
2. James M. Gere, Barry J. Goodno, Strength of Materials, 7th ed., 2019, ISBN 9787111350118
3. Thomas J.Lardner, An Introduction to the Mechanics of Solids, 2nd ed, 1978, ISBN 0-07-013441-3
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