Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
9103067072016Theory of Elasticity IElective118
Level of Course Unit
Second Cycle
Objectives of the Course
The main objective of this course is to introduce the student to the analysis of linear elastic solids once subjected mechanical and thermal loads. The primary intention is to provide for students the essential fundamental knowledge of the theory of elasticity together with a compilation of solutions of special problems that are important in engineering practice and design. In addition to that, the topics carried out in this course will provide a foundation for other solid mechanics courses such as theory of plates and shells, elastic stability, composite structures and fracture mechanics and constitutive elastic-plastic models.
Name of Lecturer(s)
Yrd. Doç. Dr. Mahmut PEKEDİS
Learning Outcomes
1Understanding of definition an elasticity problem.
2Understanding of the main concepts of elasticity such as plane stress, plane strain, components of stress and strain, differential equilibrium equations, boundary conditions, compatibility equations and stress functions.
3Ability of solution the elasticity problems with various techniques
4Ability to solve and discuss the 2D elasticity problem and compare the results with other conventional elementary based solution techniques.
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
1-Introduction: The concept of elasticity, Component of force stress and Hooke's law. 2- Plane stress and plane strain: Plane stress, Plane strain, Stress at a point, Differential equations of equilibrium, Boundary conditions, Compatibility equations and Stress function. 3-Two-Dimensional Problems in Rectangular Coordinates: Bending of a cantilever loaded at the end, Bending of a beam by a uniform load, Other cases of continuously loaded beams. 4- Two-Dimensional Problems in Polar Coordinates: General equations in polar coordinates, Stress distribution of symmetrical about an axis, Pure bending of curved bars, Strain components in polar coordinates. 5- Two-Dimensional Problems in Polar Coordinates: Displacement for symmetrical stress distribution, Stresses in a circular disk, Concentrated force acting on a beam,The effect of circular holes on stress distributions in plates. 6- Two-Dimensional Problems in Polar Coordinates: Force at a point an infinite plate, Force Any vertical loading of a straight boundary, Stresses for other cases. 7- Strain Energy Methods: Strain energy, Principle of virtual work, Castigliano's theorem, Principle of least work, Applications of the principle of least work-rectangular plates.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1IntroductionTheoretical
2The concept of elasticity, component of force stress and Hooke's law.Theoretical
3Plane stress and plane strainTheoretical
4Plane stress and plane strainTheoretical
5Plane stress and plane strainTheoretical
6Two-Dimensional Problems in Rectangular CoordinatesTheoretical
7Two-Dimensional Problems in Rectangular CoordinatesTheoretical
8Two-Dimensional Problems in Rectangular CoordinatesTheoretical
9Midterm
10Two-Dimensional Problems in Polar CoordinatesTheoretical
11Two-Dimensional Problems in Polar CoordinatesTheoretical
12Two-Dimensional Problems in Polar CoordinatesTheoretical
13Strain Energy MethodsTheoretical
14Strain Energy MethodsTheoretical
15Strain Energy MethodsTheoretical
16Final exam
Recommended or Required Reading
1. S.P. Timoshenko, J.N. Goodier, Theory of Elasticity. McGraw-Hill, 3rd Edition, Singapore, 1984. 2. M.H. Sadd, Elasticity: Theory, Applications, and Numerics, Elsevier Academic Press, 2005. 3. A.C. Ugural, S. K. Fenster, Advanced Strength and Applied Elasticity, Prentice Hall, 2003.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
SUM0
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination11010
Final Examination11010
Attending Lectures14342
Individual Study for Mid term Examination91090
Individual Study for Final Examination91090
TOTAL WORKLOAD (hours)242
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
PO
12
PO
13
PO
14
LO155  45   5    
LO255  45   5    
LO354  45   5    
LO454  45   5    
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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