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| INS7180 | Energy Methods in Elasticity | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Third Cycle | | Status | Elective | | Department | DEPARTMENT of CIVIL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Volkan KAHYA | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To find approximate solutions to elasticity problems by using energy methods. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | learn the concepts of work, energy and variational calculus | 1,3,4 | 1,3, | | PO - 2 : | learn the application areas and application methods of energy principles in structural mechanics | 1,3,4 | 1,3, | | PO - 3 : | learn Hamilton's principle in solving dynamic systems. | 1,3,4 | 1,3, | | PO - 4 : | learn the application of various variational methods and the application of the finite element method in rod systems | 1,3,4 | 1,3, | | PO - 5 : | learn complex variational formulations and their applications | 1,3,4 | 1,3, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Fundamental Equations of Solid Mechanics. Work, Energy and Variational Calculus. Energy Principles in Structural Mechanics. Dynamic Systems: Hamilton's Principle. Direct Variational Methods. Finite Element Method: Finite Element Analysis of Axially Loaded Rods and Euler-Bernoulli Beam. Mixed Variational Formulations. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | | | | Week 2 | | | | Week 3 | | | | Week 4 | | | | Week 5 | | | | Week 6 | | | | Week 7 | | | | Week 8 | | | | Week 9 | Midterm exam | | | Week 10 | | | | Week 11 | | | | Week 12 | | | | Week 13 | | | | Week 14 | | | | Week 15 | | | | Week 16 | Final exam | | | |
| 1 | Reddy, J. N., 2002, Energy Principles and Variational Methods in Applied Mechanics | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | 2 | 30 | | Homework/Assignment/Term-paper | 4
13 | | 2
2 | 20 | | End-of-term exam | 16 | | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Arasınav için hazırlık | 3 | 8 | 24 | | Arasınav | 2 | 1 | 2 | | Ödev | 10 | 2 | 20 | | Dönem sonu sınavı için hazırlık | 5 | 6 | 30 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 190 |
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