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Programme |

Graduate School of Natural and Applied Sciences Mechanical Engineering |

Course Information |

Course Unit Code | Course Unit Title | | 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 |