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Course Title: |
ELASTICITY THEORY |
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Course Code: |
INS5011 |
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Type of Course: |
Optional |
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Level of Course: |
Second Cycle |
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Year of Study: |
1 |
6 |
Semester: |
1 |
7 |
ECTS Credits Allocated: |
6 |
8 |
Theoretical (hour/week): |
3 |
9 |
Practice (hour/week) : |
0 |
10 |
Laboratory (hour/week) : |
0 |
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Prerequisites: |
None |
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Recommended optional programme components: |
None |
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Language: |
Turkish |
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Mode of Delivery: |
Face to face |
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Course Coordinator: |
Prof. Dr. BABÜR DELİKTAŞ |
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Course Lecturers: |
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Contactinformation of the Course Coordinator: |
bdeliktas@uludag.edu.tr 224 2900744 Uludağ Univ. Müh.Mim Fak. İnşaat Müh. Böl. Görükle, Bursa |
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Website: |
http://insaat.uludag.edu.tr |
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Objective of the Course: |
To provide theoretical framework for determination of the stress, strain, and displacement distribution in an elastic solid under the influence of external forces.
Following the usual assumptions of linear, small-deformation theory, to establish the formulation for a mathematical model that allows solutions to elasticity problems that have applications in many engineering and scientific fields.
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Contribution of the Course to Professional Development |
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Week |
Theoretical |
Practical |
1 |
Introduction |
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Mathematical Preliminaries
Vectors, Indicial Notations, Coordinate Transfromation, Cartesian Tensors
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Analysis of Strains
Deformation, Displacement Transformation, Components of Strain
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Analysis of Strains
principal Strains, Equation of Compatibility
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Analysis of Stresses
Stress Tensor, Equation of Equilibrium,
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Analysis of Stresses
Principal Stresses, Special State of Stress
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Constitutive Equation
Stress-Strain Relations, Elastic Constants, I
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Constitutive Equation
Isotropic Media, Strain Energy
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Problem classification
Field Equations, Definition of Fundamental Problems
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Basic Theorems
Uniqueness Theorem, Reciprocal Theorem, Minimum Energy
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Torsion
Torsion of a Shaft, Torsion of Rectangular Cross Section
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Flexure
Flexure of Rectangular, Cylindrical Beams
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Two Dimensional Problems
Plane Strain, Generalized Plane Stress, Airy’sStress Function,
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Two Dimensional Problems
Boundary Value Problem in Plane Elasticity
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Textbooks, References and/or Other Materials: |
1.Theory of Elasticity, S. P. Timoshenko and J. N. Goodier, 3rd Edition, McGraw Hill Book Company, 1970, 1987. 2. Elasticity in Engineering Mechanics, 2nd Edition, A. P. Boresi and K. P. Chong, John Wiley & Sons, 2000. 3. Advanced Strength and Applied Elasticity, A. C. Ugural and S. K. Fenster, 2nd Edition, Elsevier Science Publishing Co., Inc., 1987. 4Elasticity: Theory, Applications and Numerics, by M.H. Sadd, Elsevier Butterworth-Heinemann, 2005. |
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Assesment |
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