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10. Discussion

How to calculate the centroid of an area? Point out the relationship between the centroid of an area and the first moment of the area.

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Mechanics of Materials课程列表:

Lecture 1

-1.1 Introduction

--1.1.1 Introduction

-1.2 Equilibrium of a Deformable Body

--1.2.1 Review Statics

--1.2.2 Internal Loadings

--1.2.3 Problem Discussion 1_Statics

--1.2.4 Problem Discussion 2_Statics

--1.2.5 Problem Discussion 3_Statics

-1. Exercise

--1. Exercise

-1. Homework

--1.Homework

-1. Discussion

Lecture 2

-1.3 Stress

--1.3.1 Object and Materials

--1.3.2 Stress

-1,4 Average Normal Stress in Axially Loaded Member

--1.4.1 Axial Force Diagram

--1.4.2 Average Normal Stress in Axially Loaded Member

--1.4.3 Problem Discussion 1_Axial Force Diagram

--1.4.4 Problem Discussion 2_Average Normal Stress

-2. Exercise

--2. Exercise

-2. Homework

--2. Homework

-2. Discussion

Lecture 3

-1.5 Average Shear Stress

--1.5.1 Average Shear Stress

--1.5.2 Problem Discussion_Average shear stress

-1.6 Allowable Stress

--1.6.1 Allowable Stress

--1.6.2 Problem Discussion_Allowable stress

-1.7 Design of Simple Connections

--1.7.1 Design of Simple Connections

--1.7.2 Problem Discussion_Design of connections

-3. Exercise

--3. Exercise

-3. Homework

--3. Homework

-3. Discussion

Lecture 4

-2 Strain

--2.1.1 Strain

--2.1.2 Problem Discussion_Strain

-3 Mechanical Properties of Materials

--3.1.1 Low Carbon Steel in Tension

--3.2.1 Mechanical Properties of Materials

--3.3.1 Strain Energy

- Experiment Video_1

--1. Low Carbon Steel in Tension

- Experiment Video_2

--2. Electrical Test

-4. Exercise

--4. Exercise

-4. Homework

--4. Homework

-4. Discussion

Unit Test_1

-Unit Test_1

Lecture 5

-3.6 Poisson’s Ratio

--3.6.1 Poisson’s Ratio

-3.7 Problem Discussion_strength

--3.7.1 Problem Discussion_Strength

-4.1 Saint-Venant’s Principle

--4.1.1 Saint-Venant’s Principle

-4.2 Elastic Deformation of an Axially Loaded Member

--4.2.1 Elastic Deformation of an Axially Loaded Member

--4.2.2 Problem Discussion_Elastic Deformation

--4.2.3 Problem Discussion_Displacement Calculation

-5. Exercise

--5. Exercise

-5. Homework

--5. Homework

-5. Discussion

Lecture 6

-4.2 Displacement Calculation_Energy Method

--4.2.1 Elastic Deformation( Energy Method)

-4.3 Principle of Superposition

--4.3.1 Principle of Superposition

-4.4 Statically Indeterminate Axially Loaded Member

--4.4.1 Statically Indeterminate Axially Loaded Member

-6. Exercise

--6. Exercise

-6. Homework

--6. Homework

-6. Discussion

Lecture 7

-4.5 The Force Method of Analysys for Axially Loaded Member

--4.5.1 The Force Method

--4.5.2 Problem Discussion_Assembling Stress

-4.6 Thermal Stress

--4.6.1 Thermal Stress

--4.6.2 Problem Discussion 1_ Thermal stress

--4.6.3 Problem Discussion 2_Thermal stress

-7. Exercise

--7. Exercise

-7. Homework

--7. Homework

-7. Discussion

Unit Test_2

-Unit Test_2

Lecture 8

-4.7 Stress Concentration

--4.7.1 Stress Concentration

-5.1 Torsional Deformation of a Circular Shaft

--5.1.1 Torsional Deformation of a Circular Shaft

--5.1.2 Problem Discussion_Torque Diagram

-5.2 The Torsion Formula

--5.2.1 The Torsion Formula

--5.2.2 Problem Discussion_The Torsion Formula

--5.2.3 Problem Discussion_Torsional Strength

-8. Exercise

--8. Exercise

-8. Homework

--8. Homework

-8. Discussion

Lecture 9

-5.3 Power Transmission

--5.3.1 Power Transmission

-5.4 Angle of Twist

--5.4.1 Angle of Ttwist

-5.5 Statically Indeterminate Torque Loaded Members

--5.5.1 Statically Indeterminate Torque Loaded Members

-5.6 Strain Energy in Torsion & Noncircular Shaft

--5.6.1 Strain Energy in Torsion & Noncircular Shaft

-Experiment Video_3

--Experiment Video_3

-9. Exercise

--9. Exercise

-9. Homework

--9. Homework

-9. Discussion

Unit Test _3

-Examination_Chapter 5

Lecture 10

-A.1 Centriod of an Area

--A.1.1 Centriod of an Area

-A.2 Moment of Inertia for an Area

--A.2.1 Moment of Inertia for an Area

-A.3 Product of Inertia for an Area

--A.3.1 Product of Inertia for an Area

--A.3.2 Parallel Axis Theorem

-10. Exercise

--10. Exercise

-10 Homework

--10. Homework

-10. Discussion

Lecture 11

-A.3 Composite Area

--A.3.1 Composite Area

-A.4 Moment of Inertia for an Area about Inclined Axes

--A.4.1 Moment of Inertia for an Area about Inclined Axes

--A.4.2 Problem Discussion_Moment of Inertia for an Area about Inclined Axes

-11. Exercise

--11. Exercise

-11. Homework

--11.Homework

-11. Discussion

Unit Test_4

-Unit Test 4

Lecture 12

-6.1 Introduction of Bending

--6.1.1 Introduction of Bending

--6.1.2 Shear and Moment at Appointed Section

--6.1.3 Problem Discussion_Shear and Moment at Appointed Section

--6.1.4 Shear and Moment Diagrams

-12. Exercise

--12. Exercise

-12. Homework

--12. Homework

-12. Discussion

Lecture 13

-6.2 Graphical Method for Constructing Shear and Moment Diagrams_1

--6.2.1 Graphical Method for Constructing Shear and Moment Diagrams

--6.2.2 Problem Discussion (1)_Graphical method

--6.2.3 Problem Discussion (2)_Graphical method

--6.2.4 Problem Discussion (3)_Graphical method

-13. Exercise

--13. Exercise

-13. Homework

--13. Homework

Lecture 14

-6.2 Graphical Method for Constructing Shear and Moment Diagrams_2

--6.2.5 Problem Discussion (4)_Graphical method

--6.2.6 Problem Discussion (5)_Graphical method

--6.2.7 Construction of Moment Diagram by Principle of Superposition

--6.2.8 Internal Loading Diagrams of Inclined or Curved Beams

--6.2.9 Internal Loading Diagrams of Frames

-14. Exercise

--14. Exercise

-14. Homework

--14. Homework

Lecture 15

-6.3 Bending Deformation of a Straight Member

--6.3.1 Bending Deformation of a Straight Member

-6.4 The Flexure Formula

--6.4.1 The Flexure Formula

--6.4.2 The Flexure Formula_Transverse Bending

--6.4.3 Problem Discussion_Normal stress in a beam

-15. Exercise

--15. Exercise

-15. Homework

--15. Homework

-15. Discussion

--15. Discussion

Unit Test_5

-Unit Test 5

Lecture 16

-6.5 Unsymmetric Bending

--6.5.1 Unsymmetric Bending

--6.5.2 Problem Discussion 1_ Unsymmetric Bending

--6.5.3 Problem Discussion 2_ Unsymmetric Bending

-16. Exercise

--16. Exercise

-16. Homework

--16. Homework

-16. Discussion

--16. Discussion

Lecture 17

-7.1&7.2 The Shear Formula

--7.2.1 The Shear Formula

-7.3 Shear Stresses in Beams

--7.3.1 Shear Stresses in Beams

--7.3.2 Problem Discussion 1_ Shear Stresses in Beams

--7.3.3 Problem Discussion 2_Shear Stresses in Beams

-17. Exercise

--17. Exercise

-17. Homework

--17. Homework

-17. Discussion

--17. Discussion

Lecture 18

-7.4 Shear Flow in Built-up Members

--7.4.1 Shear Flow in Built-up Members

-7.5 Shear Flow in Thin-Walled Members

--7.5.1 Shear Flow in Thin-Walled Members

--7.5.2 Problem Discussion _ Bending strength

-18. Exercise

--18. Exercise

-18. Homework

--18. Homework

-18. Discussion

--18. Discussion

Unit Test_6

-Unit Test_6

Lecture 19

-8.1 Introduction of Combined Loadings

--8.1.1 Introduction of Combined Loadings

--8.1.2 Thin-Walled Vessels

-8.2 State of Stress Caused by Combined Loadings

--8.2.1 State of Stress Caused by Combined Loadings

--8.2.2 Problem Discussion _ Eccentric Tension & Compression

-19. Exercise

--19. Exercise

-19. Homework

--19. Homework

-19. Discussion

--19. Discussion

Lecture 20

-9.1-9.2 General Equations of Plane--Stress Transformation

--9.1-9.2.1 General Equations of Plane-Stress Transformation

-9.3 Principle Stresses and Maximum In-Plane Shear

--9.3.1 Principle Stresses and Maximum In-Plane Shear

--9.3.2 Problem Discussion_Plane-stress transformation

-20. Exercise

--20. Exercise

-20. Homework

--20. Homework

-20. Discussion

--20. Discussion

Lecture 21

-9.4 Mohr's Circle —Plane Stress

--9.4.1 Mohr's Circle —Plane Stress

-9.5 Stress in Shafts Due to Axial Load and Torsion

--9.5.1 Stress in Shafts Due to Axial Load and Torsion

--9.5.2 Problem Discussion _ Stress Transformation

-21. Exercise

--21. Exercise

-21. Homework

--21. Homework

-21. Discussion

--21. Discussion

Lecture 22

-9.7 Absolute Maximum Shear Stress

--9.7.1 Absolute Maximum Shear Stress

-10.6 Material-Property Relationships

--10.6.1 Material-Property Relationships

-22. Exercise

--22. Exercise

-22. Homework

--22. Homework

-22. Discussion

--22. Discussion

Lecture 23

-10.7 Theories of Failure

--10.7.1 Theories of Failure

--10.7.2 Problem Discussion 1_ Theories of failure

--10.7.3 Problem Discussion 2 _ Theories of failure

-23. Exercise

--23. Exercise

-23. Homework

--23. Homework

-23. Discussion

--23. Discussion

Unit Test_7

-Unit Test_7

Lecture 24

-11 Design of Beams

--11.1 Design of Beams

-12.1 The Elastic Curve

--12.1 The Elastic Curve

-12.2 Slope and Displacement by Integration

--12.2.1 Slope and Displacement by Integration

--12.2.2 Problem Discussion _Slope and displacement by integration

-24. Exercise

--24. Exercise

-24. Homework

--24. Homework

-24. Discussion

--24. Discussion

Lecture 25

-12.5 Method of Superposition

--12.5.1 Method of Superposition

--12.5.2 Slope and Deflection by Energy Method

-12.9 Statically Indeterminate Beam and Shaft —Method of superposition

--12.9.1 Statically Indeterminate Beam and Shaft —Method of superposition

--12.9.2 Improvement of the Stiffness of a Beam

-25. Exercise

--25. Exercise

-25. Homework

--25. Homework

-25. Discussion

--25. Discussion

Unit Test_8

-Unit Test _8

Lecture 26

-13.1 Critical Load

--13.1.1 Critical Load

-13.2 Ideal Column with Pin Support

--13.2.1 Ideal Column with Pin Support

-13.3 Columns Having Various Types of Supports

--13.3.1 Columns Having Various Types of Supports

--13.3.2 Problem Discussion_ Critical Load

-26. Exercise

--26. Exercise

-26. Homework

--26. Homework

-26. Discussion

--26. Discussion

Lecture 27

-13.4 Critical Stress

--13.4.1 Critical Stress

-13.5 Design of Columns

--13.5.1 Design of Columns

-27. Exercise

--27. Exercise

-27. Homework

--27. Homework

-27. Discussion

--27. Discussion

Unit Test_9

-Unit Test 9

Final Examination

-Final Exam

10. Discussion笔记与讨论

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