Description of Individual Course Units
 Course 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
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
 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 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
 Week Theoretical Practice Laboratory 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 Two-Dimensional Problems in Rectangular Coordinates Theoretical 7 Two-Dimensional Problems in Rectangular Coordinates Theoretical 8 Two-Dimensional Problems in Rectangular Coordinates Theoretical 9 Midterm 10 Two-Dimensional Problems in Polar Coordinates Theoretical 11 Two-Dimensional Problems in Polar Coordinates Theoretical 12 Two-Dimensional Problems in Polar Coordinates Theoretical 13 Strain Energy Methods Theoretical 14 Strain Energy Methods Theoretical 15 Strain Energy Methods Theoretical 16 Final exam
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 Activities Quantity Weight SUM 0 End Of Term (or Year) Learning Activities Quantity Weight SUM 0 SUM 0
Language of Instruction
Turkish
Work Placement(s)
None