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Course Description |
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Course Name |
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Introduction to the Finite Element Methods |
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Course Code |
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İM-504 |
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Course Type |
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Optional |
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Level of Course |
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Second Cycle |
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Year of Study |
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1 |
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Course Semester |
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Spring (16 Weeks) |
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ECTS |
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6 |
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Name of Lecturer(s) |
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Assoc.Prof.Dr. BEYTULLAH TEMEL |
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Learning Outcomes of the Course |
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Upon successfull completion of this course, the students will be able to;
1) lists the basic assumptions in Finite Element Method,
2) makes transformation in reference space, uses shape functions in reference space,
3) solves differential equations with finite element method,
4) describes matrices to solve structural problems,
5) utilizes the finite element method for solution of 2D and 3D elasticity problems.
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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İM-504 Introduction to the Finite Element Methods
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Recommended Optional Programme Components |
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None |
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Aim(s) of Course |
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The purpose of this course is having an introduction to finite element method (FEM) to analyze engineering structures, present details about FEM, construct matrices in reference and time space, solve differential equations with FEM, provide solutions to basic elasticity problems with FEM and apply this method to 2D and 3D structural problems. |
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Course Contents |
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Basic principles for FEM, shape functions, transformations in reference space, element mesh and selection, differential equations in FEM, elastic stability problems, 2D and 3D problems in structural engineering. |
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Language of Instruction |
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Turkish |
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Work Place |
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Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Basic concepts in finite element method |
Lecture notes |
Explanation with 1. presentation |
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2 |
Description of elements, nodes and mesh structure |
Lecture notes |
Explanation with 2. presentation |
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3 |
Reference elements reference space transformation |
Lecture notes |
Explanation with 3. presentation |
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4 |
Base polynome and parametric approach and shape functions |
Lecture notes |
Explanation with 4. presentation |
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5 |
Weight method, integration application function concept |
Lecture notes |
Explanation with 5. presentation |
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6 |
Discritization of integral forms, parametric approach in all regions |
Lecture notes |
Explanation with 6. presentation |
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7 |
Weight function selection, point and regional selection |
Lecture notes |
Explanation with 7. presentation |
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8 |
Discritization of functions with Galerkin, least squares and Ritz methods |
Lecture notes |
Explanation with 8. presentation |
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9 |
Midterm exam |
Revision |
Exam |
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10 |
Discritization of functions with Galerkin, least squares and Ritz methods |
Lecture notes |
Explanation with 9. presentation |
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11 |
Finite element formulation in matrix formation |
Lecture notes |
Explanation with 10. presentation |
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12 |
Solution of structural systems with FEM in matrix formation |
Lecture notes |
Explanation with 11. presentation |
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13 |
Solution of differantial equationos with FEM |
Lecture notes |
Explanation with 12. presentation |
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14 |
Solution of elastisity problems with FEM |
Lecture notes |
Explanation with 13. presentation |
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15 |
Applications |
Lecture notes |
Explanation with 14. presentation |
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16/17 |
Final Exam |
Revision |
Final exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
Course notes in power point format.Unpublished course notes.
OMURTAG M. H., Çubuk Sonlu Elemanlar, Birsen Yayınevi, 2010, İstanbul.
BATHE, Klaus Jürgen, Finite Element Procedures, Prentice Hall, 1037 page, 1995.
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
40 |
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Homeworks/Projects/Others |
1 |
60 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Have knowledge and understanding at advanced level providing required basis for original projects in the field of civil engineering based on qualifications gained at undergraduate level. |
5 |
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2 |
Gain required knowledge through scientific research in the field of engineering, evaluate, interpret and apply data. |
5 |
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3 |
Be aware of new and emerging applications,examine and learn where necessary. |
4 |
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4 |
Construct engineering problems, develop strategies to solve them, and apply innovative methods for solutions. |
5 |
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5 |
Design and implement analytical modeling and experimental research and solve complex situations encountered in this process |
4 |
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6 |
Develop new and / or original ideas and methods; develop innovative solutions for the system, part, and process design. |
3 |
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7 |
Have learning skills |
3 |
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8 |
Be aware of innovative developments in the field of civil engineering, and analyse and learn them when needed. |
5 |
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9 |
Transfer process and results of the projects in the field of civil engineering or on national and international platforms in written or oral form. |
3 |
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10 |
Have knowledge in current techniques and methods applied in civil engineering. |
3 |
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11 |
Use computer software as well as information and communication technologies at the level required in the field of civil engineering |
5 |
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12 |
Oversee social, scientific and ethical values in all professional platforms. |
4 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
4 |
56 |
| Assesment Related Works |
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Homeworks, Projects, Others |
1 |
4 |
4 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
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Final Exam |
1 |
12 |
12 |
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Total Workload: | 138 |
| Total Workload / 25 (h): | 5.52 |
| ECTS Credit: | 6 |
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