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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MM119 | Elastisite Teorisi | Elective | 1 | 1 | 6 |
| | Level of Course Unit | | Second Cycle | | Objectives of the Course | | The aim of this course is to introduce the student to the analysis of linear elastic solids under 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. The topics presented in this course will also provide the foundation for pursuing other solid mechanics courses such as theory of plates and shells, elastic stability, composite structures and fracture mechanics.
| | Name of Lecturer(s) | | YOK | | Learning Outcomes | | 1 | To define an elasticity problem
| | 2 | To determine/explain the main concepts in elasticity such as plane stress, plain strain, equations of equilibrium, boundary conditions, compatibility equations and stress function
| | 3 | To compare advantages and disadvantages of different solution strategies
| | 4 | To select the best solution method to solve an elasticity problem
| | 5 | To discuss the results of a solution and compare them with those of elementary level
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| | Mode of Delivery | | Normal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Introduction, Two Dimensional Problems in Cartesian Coordinates, Two Dimensional Problems in Cartesian Coordinates, Two Dimensional Problems in Polar Coordinates, Three Dimensional Stress and Strain Analysis, Basic Problems of Three Dimensional Elasticity, Torsion, Bending of Bars.
| | Weekly Detailed Course Contents | |
| 1 | Introduction: Introduction, Stress, Components of stress, Components of strain, Hooke's Law, Index notation
| | | | 2 | Plane stress and plane strain: Plane stress, Plane strain, Stress at a point, Strain at a point, Differential equations of equilibrium, Boundary conditions, Compatibility equations, Stress function
| | | | 3 | Two-dimensional problems in rectangular coordinates: Solution by polynomials. Saint-Venant's Principle, Determination of displacements (1st Assignment)
| | | | 4 | Two-dimensional problems in rectangular coordinates: Solution by polynomials. Saint-Venant's Principle, Determination of displacements (1st Assignment)
| | | | 5 | Two-dimensional problems in polar coordinates: General equations in polar coordinates, Stress distribution symmetrical about an axis, Pure bending of curved bars, Strain components in polar coordinates (2nd Assignment)
| | | | 6 | Two-dimensional problems in polar coordinates: Displacements for symmetrical stress distributions, Rotating disks, Bending of a curved bar by a force at the end, The effect of circular holes on stress distributions in plates (2nd Assignment is submitted)
| | | | 7 | Two-dimensional problems in polar coordinates: Concentrated force at a point of a straight boundary, Any vertical loading of a straight boundary, Stresses in a circular disk, Other cases
| | | | 8 | Midterm
| | | | 9 | Bending of Bars: Bending of a cantilever, Stress function, Circular cross section, Elliptic cross section, Rectangular cross section
| | | | 10 | Torsion: Torsion of straight bars, Elliptic cross section, Membrane analogy, Torsion of a bar of narrow rectangular cross section (3rd Assignment)
| | | | 11 | Torsion: Torsion of rectangular bars, Solution of torsional problems by energy method, Torsion of hollow shafts, Torsion of thin tubes (3rd Assignment is submitted)
| | | | 12 | Analysis of stress and strain in three dimensions: Introduction, Principal stresses, Determination of the principal stresses, Stress invariants, Determination of the maximum shearing stress, Strain at a point, Principal axes of strain, Rotation (4th Assignment)
| | | | 13 | Elementary problems of elasticity in three dimensions: Uniform stress, Stretching of a prismatic bar by its own weight, Twist of circular shafts of constant cross section
| | | | 14 | Elementary problems of elasticity in three dimensions: Pure bending of prismatical bars, Pure bending of plates (4th Assignment is submitted)
| | | | 15 | Elementary problems of elasticity in three dimensions: Pure bending of prismatical bars, Pure bending of plates (4th Assignment is submitted)
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| | Recommended or Required Reading | | S.P. Timoshenko, J.N. Goodier, Theory of Elasticity. McGraw-Hill, 3rd Edition, Singapore, 1984.
M.H. Sadd, Elasticity: Theory, Applications, and Numerics, Elsevier Academic Press, 2005.
A.C. Ugural, S. K. Fenster, Advanced Strength and Applied Elasticity, Prentice Hall, 2003.
| | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 2 | 2 | | Attending Lectures | 14 | 3 | 42 | | Practice | 1 | 12 | 12 | | Project Preparation | 1 | 12 | 12 | | Seminar | 1 | 6 | 6 | | Self Study | 14 | 5 | 70 | | Individual Study for Mid term Examination | 1 | 10 | 10 | | Individual Study for Final Examination | 1 | 12 | 12 | | Homework | 1 | 15 | 15 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | 3 | 5 | 4 | 4 | 3 | 1 | | LO2 | 3 | 2 | 2 | 2 | 2 | 2 | | LO3 | 3 | 3 | 3 | 3 | 3 | 4 | | LO4 | 4 | 2 | 4 | 4 | 4 | 4 | | LO5 | 4 | 3 | 4 | 3 | 3 | 5 |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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