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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAK 550ANISOTROPIC ELASTICITY3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective In structures and machines, the members are made of not only of homogeneous, isotropic materials, but also of anisotropic materials, which show a sharp difference in elastic properties for different directions. To design anisotropic members undergoing elastic strains, it is necessary to know how to determine the stresses and strains in anisotropic body theoretically.
Course Content States of Stress and strain, Transformation of stress and strain components, Generalized Hooke's Law, Elastic Symmetry, Transformation of Elastic Constants, Transformation of Complex Parameters, Curvilinear Anisotropy, Variational Principles, Extension of a Bar, Shear, Uniform Compression, Bending of a Bar, Bending of a Rectangular Plate, Stress Distribution in a Homogeneous Body, Stress Functions, Rectilinearly Anisotropic Body, General Formulas for Stress Components, Stress Distribution in a Rectilinearly Anisotropic Body, Stress Distribution in a Cylindrical Anisotropic Body, Plane stress and strain, Generalized Plane Strain, Plane Problem in Rectilinearly Orthotropic Body, Extensions and Bending, Elliptical cylinder, Stress distribution in an Elliptical Cylinder, Extensions of an Orthotropic Plate with a Elliptical Hole, Orthotropic Plate with a Circular Hole, Stress distribution, Extension of an Orthotropic Plate with a Circular Cone, Radial Stress Distribution in an Elastic Half-Plane, Extension and Bending by Moments of a Rectangular Plate, Generalized Plane Strain, Generalized Plane in a Homogeneous Body, Problem Of Plane Strain For A Body With Cylindrical Anisotropy, Axially Symmetric Stress Distributions, Stress Distribution in a Hollow Cylinder, Axially Symmetric Deformation, General Equation, General Expressions For Stresses, Axially Symmetric Deformations, Stress Distribution an Elastic Half-Space, Extensions of Elastic Cone, Stress Distribution Around An Elliptical Inclusion, Torsions, Generalized Torsion of Bars, Twisting and Bending Moments, Simple or Pure Torsion of a Bar, Elliptical or Circular Section, Torsions of Orthotropic Rectangular, Approximate Methods, Approximate Methods for Solving Torsions Problems, Torsions Of An Orthotropic Bar of Rectangular Section, Orthotropic Bar of Rectangular Section, Torsion of Hollow Circular Cylinder.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learning how to determine the stresses and strains in anisotropic body theoretically

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12PO 13PO 14
LO 00155443443534544
Sub Total55443443534544
Contribution55443443534544

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments14040
Final examination14343
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2015-2016 Fall1EMİN ERGUN
Details 2014-2015 Spring1MUZAFFER TOPÇU
Details 2013-2014 Spring1HASAN ÇALLIOĞLU
Details 2012-2013 Fall1MUZAFFER TOPÇU
Details 2011-2012 Fall1HASAN ÇALLIOĞLU
Details 2009-2010 Spring1HASAN ÇALLIOĞLU


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAK 550 ANISOTROPIC ELASTICITY 3 + 0 1 Turkish 2015-2016 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
MUH A02145 %
Goals In structures and machines, the members are made of not only of homogeneous, isotropic materials, but also of anisotropic materials, which show a sharp difference in elastic properties for different directions. To design anisotropic members undergoing elastic strains, it is necessary to know how to determine the stresses and strains in anisotropic body theoretically.
Content States of Stress and strain, Transformation of stress and strain components, Generalized Hooke's Law, Elastic Symmetry, Transformation of Elastic Constants, Transformation of Complex Parameters, Curvilinear Anisotropy, Variational Principles, Extension of a Bar, Shear, Uniform Compression, Bending of a Bar, Bending of a Rectangular Plate, Stress Distribution in a Homogeneous Body, Stress Functions, Rectilinearly Anisotropic Body, General Formulas for Stress Components, Stress Distribution in a Rectilinearly Anisotropic Body, Stress Distribution in a Cylindrical Anisotropic Body, Plane stress and strain, Generalized Plane Strain, Plane Problem in Rectilinearly Orthotropic Body, Extensions and Bending, Elliptical cylinder, Stress distribution in an Elliptical Cylinder, Extensions of an Orthotropic Plate with a Elliptical Hole, Orthotropic Plate with a Circular Hole, Stress distribution, Extension of an Orthotropic Plate with a Circular Cone, Radial Stress Distribution in an Elastic Half-Plane, Extension and Bending by Moments of a Rectangular Plate, Generalized Plane Strain, Generalized Plane in a Homogeneous Body, Problem Of Plane Strain For A Body With Cylindrical Anisotropy, Axially Symmetric Stress Distributions, Stress Distribution in a Hollow Cylinder, Axially Symmetric Deformation, General Equation, General Expressions For Stresses, Axially Symmetric Deformations, Stress Distribution an Elastic Half-Space, Extensions of Elastic Cone, Stress Distribution Around An Elliptical Inclusion, Torsions, Generalized Torsion of Bars, Twisting and Bending Moments, Simple or Pure Torsion of a Bar, Elliptical or Circular Section, Torsions of Orthotropic Rectangular, Approximate Methods, Approximate Methods for Solving Torsions Problems, Torsions Of An Orthotropic Bar of Rectangular Section, Orthotropic Bar of Rectangular Section, Torsion of Hollow Circular Cylinder.
Topics
WeeksTopics
1 General equations of elasticity theory
2 anisotropic bodies
3 Anisotropic bars subjected to axial load
4 Anisotropic beams subjected to bending
5 General problem solving
6 Stress Functions
7 Solving problems related to stress functions
8 Exam week
9 Plane strain and generalized plane stress
10 Plane strain and generalized plane stress related problems Solution
11 Torsion bars subjected to anisotropic
12 Solving problems related to exposure to anisotropic torsion bars
13 Stress analysis of anisotropic bodies in cylindrical coordinates
14 Stress Analysis of rotating discs
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes