This course gives an overview of mechanics, from Newtonian, Lagrangian, Hamiltonian formulation, and via Mechanics of Materials, to Continuum Mechanics. Students should acquire accomplishments to intuitively grasp force balance of multi-body systems and internal stress and strain states in materials although they are usually not visible. By solving each assignment one by one, the students can understand the general principles in mechanics, which is the fundamentals for modern scientists and engineers, and also brings the students touch of learning in their life.
By the end of this course, students will be able to
1) intuitively grasp force balance of multi-body systems
2) intuitively understand internal stress and strain states in materials
3) propose mechanical model to express phenomena in our real world
4) treat mathematical formulation in vector and tensor
Newtonian Mechanics, D'Alembert Principle, Free Body Diagram, Lagrangian, Hamiltonian, Stress Vector, Mohr's Circle, Tension, Compression, Shear, Beam, Stress Tensor, Strain Tensor, Displacement, Constitutive Equation, 2-dimensional Elastic Theory
|✔ Specialist skills||Intercultural skills||✔ Communication skills||✔ Critical thinking skills||✔ Practical and/or problem-solving skills|
The students are required to download teaching materials in every class and read it before coming to class.
The instructor explains the essential points of each class and gives assignment to the students.
The students should solve the assignments during the class.
The instructor designates one of the students who should explain the solution by using chalk and blackboard.
The instructor comments on it, or makes a correction when the solution is not perfect.
|Course schedule||Required learning|
|Class 1||Review on Newtonian Mechanics, Equation of Motion, Principle of Virtual Work||Explain Principle of Virtual Work|
|Class 2||Review on Newtonian Mechanics, D'Alembert Princple,||Derive Lagrange Equation by using D'Alembert's Princple,|
|Class 3||Analytical Mechanics, Lagrangue Equation, Application to Coupled System between Mechanical and Electrical Systems||Explain how to make Lagrangian and to solve Lagrange Equation|
|Class 4||Analytical Mechanics, Hamilton Equation, Hamiltonian in Quantum Mechanics||Derive Hamilton Equation|
|Class 5||Mechanics of Materials, Stress Vector, Review on Vector, Free body Diagram||Define Stress Vector|
|Class 6||Mechanics of Materials, Stress tensor, Introduction to Tensor, Mohr's Circle||Derive Stress Tensor|
|Class 7||Mechanics of Materials, Strain, Hooke's Law, Young's modulus, Modulus of Rigidity, Poisson's Ratio, Bulk Modulus||Define Strain Tensor and 4 Elastic Modulus|
|Class 8||Mechanics of Materials, Tension and compression of rod, Thermal Stress||Soleve Problems on Tension and Compression in Rod and Thermal Sress|
|Class 9||Mechanics of Materials, Torsion, Bending of Beam, Shear Force Diagram, Bending Moment Diagram||Solve Problems on Torsion and Bending Beam|
|Class 10||Mechanics of Materials, Displacement of Beam||Solve Problem on Displacemnet of Bending Beam|
|Class 11||Continuum Mechanics, Stress Tensor, Equlibrium Equation||Define Stress Tensor in general|
|Class 12||Continuum Mechanics, Strain Tensor, Compatibility Equation||Define Strain Tensor in general|
|Class 13||Continuum Mechanics, Constitutive Equation, Generalized Hooke's Law||Expalin Generalized Hooke's Law|
|Class 14||Continuum Mechanics, Fundamentals of 2-dimensional Elastic Theory, Stress Function||Define Stress Functiona|
|Class 15||Continuum Mechanics, Application of 2-dimensional Elastic Thoery||Show some exaples of 2 Dimentional Elastic theory|
Teaching materials are distributed in OCW-i
Landau and Lifshits: Mechanics in theoretical physics series, S.P.Timoshenko, and J.N.Goodier, Theory of Elasticity,
Students will be assessed on their understanding of Lagrange Equation, Free Body Diagram, Stress Tensor, Strain Tensor, and their ability to apply them to solve problems.
Students’ course scores are based on mid-term(50%) and final exams (50%)
Taking the related classes is recommended, not mandatory.
Contact by e-mail in advance to schedule an appointment
The classes are served for students to use their brains and polish their intelligence.