COURSE UNIT TITLE

: THEORY OF ELASTICITY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MEE 5083 THEORY OF ELASTICITY ELECTIVE 3 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR RAMAZAN KARAKUZU

Offered to

M.Sc. Metallurgical and Material Engineering
Mechanics
Mechanics
Metallurgical and Material Engineering
Metallurgical and Material Engineering
Mechanics

Course Objective

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.

Learning Outcomes of the Course Unit

1   Ability to define an elasticity problem
2   Ability 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   Ability to compare advantages and disadvantages of different solution strategies
4   Ability to select the best solution method to solve an elasticity problem
5   Ability to discuss the results of a solution and compare them with those of elementary level

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction, Stress, Stress components, Hooke's law, internal force-external force, equilibrium equations
2 wo-dimensional stresses at a point, three-dimensional stresses at a point, principal stress in the three-dimensional case
3 Strain, volume expansion, plane stress, plane strain
4 Compatibility equations, stress function
5 Two-Dimensional Problems in Rectangular Coordinates: Solution by Polynomial Method
6 Two-Dimensional Problems in Rectangular Coordinates: Bending of a beam under uniform load, Other cases of continuously loaded beams, Bending of an end-loaded cantilever beam
7 Midterm-1
8 Two-Dimensional Problems in Polar Coordinates: General equations in polar coordinates, Symmetrical stress distribution about an axis, Pure bending of curved bars
9 Two-Dimensional Problems in Polar Coordinates: Strain components in polar coordinates, Strains for symmetrical stress distribution, Rotating disks
10 Bending of a curved bar by a force at the end, Circular hole effect on stress distribution in plates
11 Two-Dimensional Problems in Polar Coordinates: Concentrated force at one point of a straight boundary, Any vertical loading in a straight boundary, Stress in a circular disk,
12 Other cases
13 Strain energy, energy methods and solution of bending problems with trigonometric series
14 Torsion: Genaral solution of the torsion problem, Prandtl's stress function, Elliptical cross-section, other cross-sections.

Recomended 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

Lecturing (theoretical), midterm exam, homework and final exam

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 +ASG * 0.20 +FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

yusuf.arman@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparation for final exam 1 25 25
Preparations before/after weekly lectures 12 6 72
Preparation for midterm exam 1 21 21
Preparing assignments 3 6 18
Midterm 1 6 6
Final 1 6 6
TOTAL WORKLOAD (hours) 187

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.123
LO.223
LO.323
LO.423
LO.523

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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