
Description of Individual Course UnitsCourse Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  9103067072016  Theory of Elasticity I  Elective  1  1  8 
 Level of Course Unit  Second Cycle  Language of Instruction  Turkish  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 elasticplastic models.  Name of Lecturer(s)  Yrd. Doç. Dr. Mahmut PEKEDİS  Learning Outcomes  1  Understanding of definition an elasticity problem.  2  Understanding 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.  3  Ability of solution the elasticity problems with various techniques  4  Ability 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 corequisities  None  Recommended Optional Programme Components  None  Course Contents  1Introduction: 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.
3TwoDimensional 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 TwoDimensional 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 TwoDimensional 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 TwoDimensional 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 workrectangular plates.
 Weekly Detailed Course Contents  
1  Introduction  Theoretical   2  The concept of elasticity, component of force stress and Hooke's law.  Theoretical   3  Plane stress and plane strain  Theoretical   4  Plane stress and plane strain  Theoretical   5  Plane stress and plane strain  Theoretical   6  TwoDimensional Problems in Rectangular Coordinates  Theoretical   7  TwoDimensional Problems in Rectangular Coordinates  Theoretical   8  TwoDimensional Problems in Rectangular Coordinates  Theoretical   9  Midterm    10  TwoDimensional Problems in Polar Coordinates  Theoretical   11  TwoDimensional Problems in Polar Coordinates  Theoretical   12  TwoDimensional Problems in Polar Coordinates  Theoretical   13  Strain Energy Methods  Theoretical   14  Strain Energy Methods  Theoretical   15  Strain Energy Methods  Theoretical   16  Final exam   
 Recommended or Required Reading  1. S.P. Timoshenko, J.N. Goodier, Theory of Elasticity. McGrawHill, 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   Work Placement(s)  None 
 Workload Calculation 

Midterm Examination  1  10  10  Final Examination  1  10  10  Attending Lectures  14  3  42  Individual Study for Mid term Examination  9  10  90  Individual Study for Final Examination  9  10  90  
Contribution of Learning Outcomes to Programme Outcomes  LO1  5  5    4  5     5      LO2  5  5    4  5     5      LO3  5  4    4  5     5      LO4  5  4    4  5     5     
 * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High 



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