Finite Elements Method
Mechanical Engineering
Faculty of Engineering
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Finite Elements Method | MUH319 | Elective | Bachelor's degree | 3 | Fall | 5 |
Name of Lecturer(s)
Associate Prof. Dr. Murat MAKARACI
Learning Outcomes of the Course Unit
1) Identify mathematical model for solution of common engineering problems.
2) Formulate simple problems into finite elements.
3) Solve the system of equations.
4) Model and solve structural, thermal and fluid flow problems.
5) Construct finite element model for two dimensional truss problems.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | ||
| Learning Outcomes | ||||||||||||||||||||
| 1 | High | High | High | Low | Middle | High | No relation | No relation | Low | No relation | Middle | Middle | No relation | No relation | No relation | No relation | High | No relation | Low | |
| 2 | High | High | High | Middle | Middle | High | Low | No relation | Middle | No relation | Middle | Middle | No relation | Low | No relation | No relation | Middle | No relation | Middle | |
| 3 | High | High | High | Low | Middle | High | Low | No relation | Low | No relation | Middle | Middle | No relation | No relation | No relation | No relation | Middle | No relation | Middle | |
| 4 | High | High | High | High | High | High | Low | No relation | High | No relation | Middle | High | No relation | Middle | No relation | Middle | High | No relation | Middle | |
| 5 | High | High | Middle | Middle | High | High | Low | No relation | No relation | No relation | High | Middle | No relation | Low | No relation | Middle | Middle | No relation | Middle | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
n/a
Course Contents
This course covers,applications of FEM in engineering, approximate solution of engineering problems, numerical integration, solution of linear syatems, ill conditioned systems, construction of element stiffness matrix, global assembled stiffness matrix and application of boundary conditions for spring elements. Construction and solution of equation systems for one and two dimensional truss problems. Introduction to a commercial FEM software. Idealization of engineering problems, structural analysis of two and three dimensional problems and verification of results, contact problems, fluid mechanics problems and thermal analysis applications. Validation of results and mesh density.
Weekly Schedule
1) Introduction2) Approximate solutions
3) Numerical integration
4) Linear system solution
5) Spring element
6) Global stiffness matrix
7) Midterm exam
8) 1D and 2D Truss system solutions
9) FEM Software
10) Idealizations
11) Stress analysis for 2D and 3D structures
12) Contact
13) Thermal and fluid analysis
14) Modal analysis
15) Error and mesh sensitivty
16) Review
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Simulation
6) Case Study
7) Self Study
8) Problem Solving
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
50% |
|||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
||||||||||||
Contribution of Final Examination to Course Grade |
50% |
|||||||||||
Total | 100% | |||||||||||
Language of Instruction
English
Work Placement(s)
Not Required