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Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Advanced Strength INS525 Elective Master's degree 1 Fall 8

Name of Lecturer(s)

Prof. Dr. Safa Bozkurt COŞKUN
Associate Prof. Dr. Fuat OKAY

Learning Outcomes of the Course Unit

1) Homogeneous and nonhomogeneous differential equations - Euler-Cauchy equation - Higher order differential equations.
2) Power seires method - Fourier series - Partial differential equations.
3) Some special buckling problems.
4) Beams on elastic foundations - Relations among load, shear, moment, slope and deflection.
5) Various types of beams on elastic foundations and different loading types.
6) Deformation of beams with combined axial and lateral loads.
7) Thin plates and shells.
8) Deformations symmetrical about an axis.

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7 8 9
Learning Outcomes
1 No relation High No relation No relation No relation No relation No relation No relation No relation
2 No relation No relation No relation No relation No relation No relation No relation No relation No relation
3 No relation No relation No relation No relation No relation No relation No relation No relation No relation
4 No relation No relation No relation No relation No relation No relation No relation No relation No relation
5 No relation No relation No relation No relation No relation No relation No relation No relation No relation
6 No relation No relation No relation No relation No relation No relation No relation No relation No relation
7 No relation No relation No relation No relation No relation No relation No relation No relation No relation
8 No relation No relation No relation No relation No relation No relation No relation No relation No relation

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

None

Course Contents

Homogeneous and nonhomogeneous differential equations - Bessel functions - Partial differential equations - Fourier coefficients - Some special buckling problems - Beams on elastic foundations - Beams with transverse and axial loading. Thin plates and shells. Deformations symmetric about an axis.

Weekly Schedule

1) Second order homogeneous and nonhomogeneous differential equations with constant coefficients.
2) Euler-Cauchu Equation, Higher order differential equations, Power series solutions.
3) Fourier series, Partial differential equations, Boundary value problems.
4) Buckling problems, Buckling analysis of eccentricly loaded columns.
5) Beams on elastic foundations, Winkler's theory, Effect of foundation modulus, Derivation of governing differential equation.
6) Realtions among load, shear, moment, slope and deflection. Physical meanings of related derivatives.
7) Deformation of infinite, semi-infinite and beams having a finite length on elastic foundations, Various loading types, Boundary value problems.
8) Midterm examination/Assessment
9) Deformation of beams with combined axial loading, derivation of related differential equations.
10) Beams with continuous and discontinuous moment functions, Using superposition principle.
11) Thin plates, their properties, assumptions, derivation of related differential equations.
12) Circular plates, their deformations under various loading types, boundary value problems.
13) Rectangular plates, their deformations under various loading types, boundary value problems.
14) Deformations symmetrical about an axis.
15) Deformation of thick walled cylinders.
16) Final examination

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Drill and Practice
4) Self Study
5) Problem Solving


Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade

40%

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required