| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İM230 | Energy Methods in Mechanics | Elective | 1 | 2 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To increase knowledge and skills in calculating displacements, strains and rotations using energy methods. To teach practical calculation methods that can be used in static, dynamic and buckling problems. |
| Name of Lecturer(s) |
| Doç. Dr. Muhittin TURAN |
| Learning Outcomes |
| 1 | To be able to explain the concept of elastic strain energy | | 2 | To be able to calculate elastic strain energies under axial normal force, shear force, bending and torsion or in combined strength states consisting of their combinations | | 3 | Finding the slope and deflection values of hyperstatic beams using energy methods | | 4 | To be able to calculate the displacements at the nodes of the truss systems using energy methods | | 5 | To be able to apply the principle of virtual work in rigid body mechanics | | 6 | To be able to use energy methods in solving stability problems such as buckling of columns | | 7 | To be able to apply energy methods to impact loading problems | | 8 | To be able to solve vibration problems using energy methods |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Definition of strain energy and elastic strain energy, Strain energies in simple and combined strength states, Castigliano's theorems, Virtual work theorem, Maxwell and Betti opposition theorems, Buckling problems and Ritz method, Introduction of impact loading and problem solving related to impact loading, Energy method in vibration problems |
| Weekly Detailed Course Contents |
|
| 1 | Definition of strain energy and elastic strain energy | | | | 2 | Strain energies in simple strength states | | | | 3 | Strain energies in combined strength states | | | | 4 | Castigliano's theorems | | | | 5 | Castigliano's theorems | | | | 6 | Virtual work theorem | | | | 7 | Virtual work theorem | | | | 8 | Midterm | | | | 9 | Maxwell and Betti opposition theorems | | | | 10 | Buckling problems and Ritz method | | | | 11 | Buckling problems and Ritz method | | | | 12 | Introduction of impact loading and problem solving related to impact loading | | | | 13 | Problem solving with impact loading | | | | 14 | Energy method in vibration problems | | | | 15 | Energy method in vibration problems | | |
|
| Recommended or Required Reading |
| Aköz, Y., 2005; Enerji Yöntemleri ve Yapı Sistemleri, Birsen Yayınevi.
İnan, M., Cisimlerin Mukavemeti, Arı Kitabevi.
Omurtag, M.H., Mukavemet, Birsen Yayınevi.
Reddy, J.N., Energy Principles and Variational Methods in Applied Mechanics, John Wiley and Sons, Inc.
Hearn, E. J., Mechanics of Materials, Second Edition, In Two Volumes, Volume I, Pergamon Press.
Shames, I.H., Mechanics of Deformable Solids, Prentice-Hall N.J. |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 70 | | Homework | 3 | 30 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 30 | | End Of Term (or Year) Learning Activities | 70 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 3 | 42 |
| Self Study | 14 | 7 | 98 |
| Individual Study for Mid term Examination | 1 | 17 | 17 |
| Individual Study for Final Examination | 1 | 20 | 20 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO2 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO3 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO4 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO5 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO6 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO7 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO8 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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