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INS5390 | Theory of Elasticity | 3+0+0 | ECTS:7.5 | Year / Semester | Spring Semester | Level of Course | Second Cycle | Status | Elective | Department | DEPARTMENT of CIVIL ENGINEERING | Prerequisites and co-requisites | None | Mode of Delivery | Face to face | Contact Hours | 14 weeks - 3 hours of lectures per week | Lecturer | Prof. Dr. Ahmet BİRİNCİ | Co-Lecturer | Prof. Dr. Ahmet BİRİNCİ | Language of instruction | Turkish | Professional practise ( internship ) | None | | The aim of the course: | The aim of this course is to provide the exact theory of the mechanics of deformable bodies for students of engineering, and to obtain stresses, strains and displacements in solids under external loads. |
Programme Outcomes | CTPO | TOA | Upon successful completion of the course, the students will be able to : | | | PO - 1 : | apply the basic principles of linear elasticity theory | 1,5 | 1,3 | PO - 2 : | solve some classical problems in linear elasticity in cartesian and polar co-ordinates | 1,5 | 1,3 | PO - 3 : | use appropriate methods to treat some physical applications. | 1,5 | 1,3 | PO - 4 : | analyse and solve complex problems accurately. | 1,5,11 | 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 | |
Introduction, Internal force , Stress, Strain and strain energy, Constitutive equations,Three-dimensional Elasticity, General equations, Two-dimensional elasticity, Plain strain and plane stress problems, Stress functions, Solutions with polynomials, Solution with Fourier series, Method of finite differences and applications, Solutions in polar coordinates and applications, Solutions with complex variables and applications, Solutions with variational methods and applications. |
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Course Syllabus | Week | Subject | Related Notes / Files | Week 1 | Introduction, Internal force and Stress | | Week 2 | Stress, strain and strain energy | | Week 3 | Constitutive equations | | Week 4 | Three-dimensional Elasticity, General equations | | Week 5 | Three-dimensional Elasticity, General equations | | Week 6 | Two-dimensional elasticity | | Week 7 | Plain strain and plane stress problems | | Week 8 | Stress functions , Solutions with polynomials | | Week 9 | Mid-term exam | | Week 10 | Stress functions , Solutions with polynomials | | Week 11 | Solution with Fourier series | | Week 12 | Method of finite differences and applications | | Week 13 | Solutions in polar coordinates and applications | | Week 14 | Solutions in polar coordinates and applications | | Week 15 | Solutions in polar coordinates and applications | | Week 16 | End-of-term exam | | |
1 | İnan, M.1969; Düzlem Elastisite Teorisi, İTÜ Yayını | | 2 | Tameroğlu, S. 2007; Lineer Elastisite Teorisi, İTÜ Yayını | | 3 | Timoshenko, S., Goodier, J. N., Çev. Kayan, İ., Şuhubi, E. S. 1969; Elastisite Teorisi, İTÜ Yayını | | 4 | Pagano, N. J. Chou, P.C. Çev. Yaman, N. Erdöl, R. 1984; Elastisite,KTÜ Yayını | | 5 | Sokolnikoff, I.S. Çev. Şuhubi, E. S. 1965, Matematik Elastisite Teorisi, Arı Kitabevi | | |
1 | Uğural, A. C. Fenster, S. K. 1995; Advanced Strength and Applied Elasticity., Prentice-Hall | | 2 | Green, A. E., Zerna, W. Çev. Cinemre, V. 1971; Teorik Elastisite, Çağlayan Basımevi. | | 3 | Bricas, M Çev. Cinemre V. 1963; İki Boyutlu Elastisite Teorisi, İTÜ Yayını. | | 4 | Parton, V.Z., Perlin, P. I. 1984; Mathematical Methods of the Theory of Elasticity,I, II, Mir Publishers. | | |
Method of Assessment | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | Mid-term exam | 9 | | 3 | 30 | Homework/Assignment/Term-paper | 2 4 5 6 7 9 12 | | 5 5 5 5 5 5 5 | 20 | End-of-term exam | 16 | | 3 | 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 | 6 | 14 | 84 | Laboratuar çalışması | 0 | 0 | 0 | Arasınav için hazırlık | 6 | 3 | 18 | Arasınav | 3 | 1 | 3 | Uygulama | 0 | 0 | 0 | Klinik Uygulama | 0 | 0 | 0 | Ödev | 5 | 9 | 45 | Proje | 0 | 0 | 0 | Kısa sınav | 0 | 0 | 0 | Dönem sonu sınavı için hazırlık | 15 | 2 | 30 | Dönem sonu sınavı | 3 | 1 | 3 | Diğer 1 | 0 | 0 | 0 | Diğer 2 | 0 | 0 | 0 | Total work load | | | 225 |
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