Learn the fundamental principles and applications of mechanics of materials through a comprehensive engineering course covering essential topics from basic stress and strain concepts to complex structural analysis. Master equilibrium in deformable bodies, axial loading, torsion, bending, combined loadings, and column design through 27 detailed lectures complemented by hands-on exercises, homework assignments, and experimental videos. Develop practical skills in analyzing mechanical properties, calculating displacements using energy methods, understanding stress transformations with Mohr's circle, and applying various theories of failure. Progress through nine unit tests and engage with interactive problem-solving sessions focused on real-world engineering applications. Gain proficiency in design principles for beams, shafts, and columns while exploring advanced concepts like statically indeterminate systems and elastic curve analysis.
Overview
Syllabus
- Lecture 1
- 1.1 Introduction
- 1.2 Equilibrium of a Deformable Body
- 1. Exercise
- 1. Homework
- Lecture 2
- 1.3 Stress
- 1,4 Average Normal Stress in Axially Loaded Member
- 2. Exercise
- 2. Homework
- Lecture 3
- 1.5 Average Shear Stress
- 1.6 Allowable Stress
- 1.7 Design of Simple Connections
- 3. Exercise
- 3. Homework
- Lecture 4
- 2 Strain
- 3 Mechanical Properties of Materials
- Experiment Video_1
- Experiment Video_2
- 4. Exercise
- 4. Homework
- Unit Test_1
- Lecture 5
- 3.6 Poisson’s Ratio
- 3.7 Problem Discussion_strength
- 4.1 Saint-Venant’s Principle
- 4.2 Elastic Deformation of an Axially Loaded Member
- 5. Exercise
- 5. Homework
- Lecture 6
- 4.2 Displacement Calculation_Energy Method
- 4.3 Principle of Superposition
- 4.4 Statically Indeterminate Axially Loaded Member
- 6. Exercise
- 6. Homework
- Lecture 7
- 4.5 The Force Method of Analysys for Axially Loaded Member
- 4.6 Thermal Stress
- 7. Exercise
- 7. Homework
- Unit Test_2
- Lecture 8
- 4.7 Stress Concentration
- 5.1 Torsional Deformation of a Circular Shaft
- 5.2 The Torsion Formula
- 8. Exercise
- 8. Homework
- Lecture 9
- 5.3 Power Transmission
- 5.4 Angle of Twist
- 5.5 Statically Indeterminate Torque Loaded Members
- 5.6 Strain Energy in Torsion & Noncircular Shaft
- Experiment Video_3
- 9. Exercise
- 9. Homework
- Unit Test _3
- Lecture 10
- A.1 Centriod of an Area
- A.2 Moment of Inertia for an Area
- A.3 Product of Inertia for an Area
- 10. Exercise
- 10 Homework
- Lecture 11
- A.3 Composite Area
- A.4 Moment of Inertia for an Area about Inclined Axes
- 11. Exercise
- 11. Homework
- Unit Test_4
- Lecture 12
- 6.1 Introduction of Bending
- 12. Exercise
- 12. Homework
- Lecture 13
- 6.2 Graphical Method for Constructing Shear and Moment Diagrams_1
- 13. Exercise
- 13. Homework
- Lecture 14
- 6.2 Graphical Method for Constructing Shear and Moment Diagrams_2
- 14. Exercise
- 14. Homework
- Lecture 15
- 6.3 Bending Deformation of a Straight Member
- 6.4 The Flexure Formula
- 15. Exercise
- 15. Homework
- 15. Discussion
- Unit Test_5
- Lecture 16
- 6.5 Unsymmetric Bending
- 16. Exercise
- 16. Homework
- 16. Discussion
- Lecture 17
- 7.1&7.2 The Shear Formula
- 7.3 Shear Stresses in Beams
- 17. Exercise
- 17. Homework
- 17. Discussion
- Lecture 18
- 7.4 Shear Flow in Built-up Members
- 7.5 Shear Flow in Thin-Walled Members
- 18. Exercise
- 18. Homework
- 18. Discussion
- Unit Test_6
- Lecture 19
- 8.1 Introduction of Combined Loadings
- 8.2 State of Stress Caused by Combined Loadings
- 19. Exercise
- 19. Homework
- 19. Discussion
- Lecture 20
- 9.1-9.2 General Equations of Plane--Stress Transformation
- 9.3 Principle Stresses and Maximum In-Plane Shear
- 20. Exercise
- 20. Homework
- 20. Discussion
- Lecture 21
- 9.4 Mohr's Circle —Plane Stress
- 9.5 Stress in Shafts Due to Axial Load and Torsion
- 21. Exercise
- 21. Homework
- 21. Discussion
- Lecture 22
- 9.7 Absolute Maximum Shear Stress
- 10.6 Material-Property Relationships
- 22. Exercise
- 22. Homework
- 22. Discussion
- Lecture 23
- 10.7 Theories of Failure
- 23. Exercise
- 23. Homework
- 23. Discussion
- Unit Test_7
- Lecture 24
- 11 Design of Beams
- 12.1 The Elastic Curve
- 12.2 Slope and Displacement by Integration
- 24. Exercise
- 24. Homework
- 24. Discussion
- Lecture 25
- 12.5 Method of Superposition
- 12.9 Statically Indeterminate Beam and Shaft —Method of superposition
- 25. Exercise
- 25. Homework
- 25. Discussion
- Unit Test_8
- Lecture 26
- 13.1 Critical Load
- 13.2 Ideal Column with Pin Support
- 13.3 Columns Having Various Types of Supports
- 26. Exercise
- 26. Homework
- 26. Discussion
- Lecture 27
- 13.4 Critical Stress
- 13.5 Design of Columns
- 27. Exercise
- 27. Homework
- 27. Discussion
- Unit Test_9
- Final Examination
Taught by
Huang Lihua
