PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAK 503	THEORY OF ELASTICITY	3 + 0	2nd Semester	7,5

COURSE DESCRIPTION

Course Level	Master's Degree
Course Type	Elective
Course Objective	Elastic Solids Mechanics stress, strain and constitutive equations to teach the basic concepts. Solution methods based on these concepts to explain the equations of motion and balance. Examine a variety of engineering problems, depending on boundary conditions.
Course Content	Mathematical Foundations. Analysis of Stress. Analysis of Strain. Conservation laws. Linear Elasticity. Constitutive Equations. Generalized Hooke's Law. Fundamental Equations of Theory of Elasticity. Stress Problem. Displacement Problem. Compatibility Conditions. General Theory of Plane Elasticity. Plane Stress (Thin Plate Problem). Plane Strain (Long Cylinder Problem). Solutions in Cartesian Coordinates. Stress Functions. Airy Stress Function. Boundary Conditions. Polynomial Solutions. Biharmonik Functions. Examples. Fourier Series Solutions. Examples. Solutions in Polar Coordinates. Examples. Three Dimensional Elasticity. Saint-Venant Torsion and Bending Theory. Galerkin Vector. Papkovich-Neuber Solutions.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	-Ability to have a broad education in the field of engineering -Ability to use engineering techniques and modern engineering tools -Mathematics, Science, and the ability to apply engineering knowledge in the field of Mechanical Engineering

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	5	5	4	4	4	3	3	2	5	2	1	4	2	4
Sub Total	5	5	4	4	4	3	3	2	5	2	1	4	2	4
Contribution	5	5	4	4	4	3	3	2	5	2	1	4	2	4

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	5	70
Assignments	10	5	50
Final examination	1	33	33
Total Work Load ECTS Credit of the Course			195 7,5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
MAK 503	THEORY OF ELASTICITY	3 + 0	1	Turkish	2022-2023 Spring	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Assoc. Prof. Dr. ÖZKAN ÖZBEK	ozbek@pau.edu.tr		MUH A0297	%

Goals		Elastic Solids Mechanics stress, strain and constitutive equations to teach the basic concepts. Solution methods based on these concepts to explain the equations of motion and balance. Examine a variety of engineering problems, depending on boundary conditions.
Content		Mathematical Foundations. Analysis of Stress. Analysis of Strain. Conservation laws. Linear Elasticity. Constitutive Equations. Generalized Hooke's Law. Fundamental Equations of Theory of Elasticity. Stress Problem. Displacement Problem. Compatibility Conditions. General Theory of Plane Elasticity. Plane Stress (Thin Plate Problem). Plane Strain (Long Cylinder Problem). Solutions in Cartesian Coordinates. Stress Functions. Airy Stress Function. Boundary Conditions. Polynomial Solutions. Biharmonik Functions. Examples. Fourier Series Solutions. Examples. Solutions in Polar Coordinates. Examples. Three Dimensional Elasticity. Saint-Venant Torsion and Bending Theory. Galerkin Vector. Papkovich-Neuber Solutions.

Topics

Weeks	Topics
1	Introduction
2	Plane stress and plane strain
3	Two-dimensional problems in rectangular coordinates
4	Two-dimensional problems in rectangular coordinates
5	Two-dimensional problems in polar coordinates
6	Two-dimensional problems in polar coordinates
7	Two-dimensional problems in polar coordinates
8	Mid-Term Examination
9	Elementary problems of elasticity in three dimensions
10	Torsion
11	Torsion
12	Bending of Bars
13	Bending of Bars
14	Engineering applications

Materials

Materials are not specified.

Resources

Resources	Resources Language
S.P. Timoshenko, J.N. Goodier, Theory of Elasticity. McGraw-Hill, 3rd Edition, Singapore, 1984	English

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student