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SDÜ Education Information System Course Content
Programme
Graduate School of Natural and Applied Sciences Mechanical Engineering
Course Information
Course Unit Code
Course Unit Title
Credit Theoretic
Credit Pratic
Credit Lab/A
Credit Total
Credit Ects
Semester
01MAK6114
Theory of Elasticity
3.00
0.00
0.00
3.00
6.00
1
Course Information
Language of Instruction
Turkish
Type of Course Unit
Elective
Course Coordinator
Associate Professor Dr. Ramazan KAYACAN
Course Instructors
2-Ramazan KAYACAN
3-Ayşe Öndürücü
Course Assistants
 
Course Aims
The objective of this course is to introduce the student to the analysis of linear elastic solids under mechanical and thermal loads. The material presented in this course will provide the foundation for pursuing other solid mechanics courses such as theory of plates and shells, elastic stability, composite structures and fracture mechanics.
Course Goals
 
Learning Outcomes of The Course Unit
Upon successful completion of this course, students will be able to

1. Use proficiently indicial notation and master manipulation of Cartesian vector and tensor equations.
2. Describe deformation of a body using various strain measures including deformation gradient, Cauchy-Green deformation tensor, Lagragian strain tensor, infinitesimal strain tensor, principal strains; understand the meanings of these measures and the transformations among them; know what compatibility conditions the strains must satisfy.
3. Understand the definitions of stress vector and stress tensor and their relation,principal stresses and maximum shear stresses, and the stress equilibrium equations.
4. Understand generalized Hooke's law for linear elastic materials, material symmetries, and conversions of different material constants for linear isotopic elastic materials.
5. Write down the governing equations and boundary conditions in rectangular, cylindrical, or spherical coordinate system.
6. Analyze plane strain and plane stress problems with the method of Airy's stress function.
7. Understand the method of analysis for a cantilever beam subjected to an end load and Timoshenko beam theory.
8. Understand the method of analysis for a plate.
Course Contents
Introduction; Vectors and tensors; Stress: stress tensor, transformation, differential equations of equilibrium, principal stresses and invariants; Strain: strain–displacement equations, transformation, relative displacement and rotation; Constitutive equations for linear elasticity; Plane stress and plane strain problems in linear elasticity; Airy stress functions; Bending of beams; Torsion of prismatic bars; Axisymmetric elements; Thermal elasticity; Summary of three-dimensional linear elasticity
Prerequisities and Co-requisities Courses
 
Recommended Optional Programme Components
 
Mode Of Delivery
 
Level of Course Unit
 
Assessment Methods and Criteria
ECTS / Table Of Workload (Number of ECTS credits allocated)
Studies During Halfterm
Number
Co-Efficient
Activity
Number
Duration
Total
Visa
2
70
Course Duration (Excluding Exam Week)
14
3
42
Quiz
0
0
Time Of Studying Out Of Class
14
5
70
Homework
3
15
Homeworks
3
5
15
Attendance
0
0
Presentation
1
10
10
Application
0
0
Project
0
0
0
Lab
0
0
Lab Study
0
0
0
Project
0
0
Field Study
0
0
0
Workshop
0
0
Visas
2
10
20
Seminary
1
15
Finals
1
15
15
Field study
0
0
Workload Hour (30)
30
TOTAL
100
Total Work Charge / Hour
172
The ratio of the term to success
50
Course's ECTS Credit
6
The ratio of final to success
50
 
TOTAL
100
 
Recommended or Required Reading
Textbook
There is no assigned textbook for this course. Course notes will be distributed as required.
Additional Resources
The following textbooks are recommended to provide useful background reading:

1. Advanced Strength and Applied Elasticity, Ansel C. Ugural and Saul K. Fenster, Fourth Edition, Prentice Hall, New Jersey, 2003.
2. Elasticity: Theory and Applications, Adel S. Saada, Second Edition, Krieger Publishing, Malabar, Florida, 1993
3. Theory of Elasticity, S. P. Timoshenko and J. N. Goodier, 3rd Edition, McGraw Hill Book Company, 1970, 1987.
4. Elastisite Teorisi, Çözüm Yöntemleri ve Bazı Matematiksel Teknikler, Prof. Dr. Sacit Tameroğlu, 1991
5. Elasticity in Engineering Mechanics, 2nd Edition, A. P. Boresi and K. P. Chong, John Wiley & Sons, 2000.
6. Classical and Computational Solid Mechanics, Y. C. Fung and P. Tong, World Scientific Publishing Co., Singapore, 2001

In addition to these supplemental textbooks, students will be provided selected research papers.
Material Sharing
Documents
 
Assignments
 
Exams
 
Additional Material
 
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
Work Placements
As with any other educational component, credits for work placements are only awarded when the learning outcomes have been achieved and assessed. If a work placement is part of organised mobility (such as Farabi and Erasmus), the Learning Agreement for the placement should indicate the number of credits to be awarded if the expected learning outcomes are achieved.
Program Learning Outcomes
No
Course's Contribution to Program
Contribution
Course Content