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 DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
Stress, 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
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
RECOMENDED OR REQUIRED READING
o 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.