Information Package

Master's of Mechanical Engineering with Thesis

MAK507

THEORY OF ELASTICITY

Course Code
MAK507
Semester
-
Theory+Practice
3 + 0
ECTS
10
Course TypeElective Course
Course LevelMaster's Degree With Thesis
Year of Study-
Semester-
ECTS10
Name of Lecturer(s)
Learning Outcomes

At the end of this course, the students;

  1. An ability to apply knowledge of mathematics, science, and engineering
  2. Make students to understand equations for solving an elasticity problem and solution technique of planar problems.
  3. Developing various solution strategies to apply them to practical cases.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionStress, strain, Hooke Law, notation of tensors and index. Material and spatial defitions, material time derivative, deformation gradient tensor, strain tensor, kinematic linearization, force and stress: Reference configuration, definition of Piola Kirchoff stress tensor, constitutive equations: Linearization of constitutive equations, monoclinic, orthographic, isotropic materials, two dimensional problems and solutions in Cartesian and polar coordinates.
Course Contents
WEEK TOPICS
1st Week Stress Analysis: Stress Case in a Point, Principle Stresses
2nd Week Stress Analysis: Equilibrium Equations, Boundary Conditions
3rd Week Strain Analysis: Strain Case in a Point, Compatibility Equation of Strain Transform
4th Week Stress-Strain Relations: Hooke Law, Strain Energy
5th Week Planar Elasticity Problems: Formulation of Elasticity Problems, Plane Strain and Stress Cases
6th Week Plane Elasticity Problems in Cartesian Coordinates
7th Week Examination
8th Week Plane Elasticity Problems in Polar Coordinates
9th Week Stress Analysis in Thick Wall Cylinders
10th Week Interference-fit Joints
11th Week Rotating Shaft and Disks
12th Week Thermal Stress Problems
13th Week Thermal Stress Problems
14th Week Concentrated Force and Green Function
Recommended or Required Readingo Timoshenko, S. P., "Theory of Elasticity", McGraw-Hill Book Co. Inc.
o Wang, C., "Applied Elasticity", McGraw-Hill Book Co. Inc.
o Sokolnikoff, I. S., "Mathematical Theory of Elasticity", McGraw-Hill Book Co. Inc.
Planned Learning Activities and Teaching Methods
  • Questions/Answers
  • Lecture
  • Problem Solving
  • Presentation
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 40
Assignment 5 5
Presentation of Case Study 1 5
Total(%) 50
Contribution of In-term Studies to Overall Grade(%) 50
Contribution of Final Examination to Overall Grade(%) 50
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 3 3
Preparation for Quiz
Individual or group work 14 4 56
Preparation for Final exam 1 30 30
Course hours 14 3 42
Preparation for Midterm exam 1 20 20
Laboratory (including preparation)
Final exam 1 3 3
Homework 5 20 100
Presentation (including preperation) 1 40 40
Total Work Load294
Total Work Load / 30 (h)9.8
ECTS Credit of the Course10
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2 LO3
K1 X
K2
K3 X X
K4
K5 X
K6
K7
K8
K9 X
K10
K11