# Advanced Strength of Materials (MFGE418) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Advanced Strength of Materials MFGE418 Elective Courses 3 0 0 3 5
Pre-requisite Course(s)
ME210 - Strength of Materials
Course Language English Elective Courses Natural & Applied Sciences Master's Degree Face To Face Lecture, Drill and Practice. Asst. Prof. Dr. A. Hakan Argeşo The objective of this course is to introduce advanced topics in mechanics of deformable solids through “strength of materials” approach. This approach will be employed to analyze deformable bodies and teach the students how to apply this knowledge in the solution of engineering problems. This course also provides the student with a background in the classical theory of elasticity. The students who succeeded in this course; An ability to identify, formulate, and solve engineering problems involving mechanics of deformable solids. Understand the basic assumptions and equations of strength of materials. Attain necessary knowledge of the different failure theories used to predict failure of elastic isotropic materials. Understand the basics of energy methods used in solid mechanics. Understand the plastic deformations in basic structural members. Analysis of stress and strain, principle stresses and strains, generalized Hooke?s law, strain energy, yield and failure criteria, plane strain and plane stress problems, airy stress function, unsymmetrical bending of beams and shear center, torsion of noncircular cross sections, Prandtl?s membrane analogy, energy methods, plastic deformation and r

### Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Chapter 1: Analysis of Stress Stress tensor, Internal force-resultant and stress relations, Variation of stress within a body, Two dimensional stress at a point, Principle stresses and maximum shear stress in two dimensions. Chapter 1
2 Chapter 1: Analysis of Stress Three dimensional stress at a point, Principle stresses in three dimensions, Mohr’s circle for two and three dimensional stress. Chapter 1
3 Chapter 2: Stress and Strain Relations Definition of strain, Equations of compatibility, State of strain at a point, Generalized Hooke’s law. Chapter 2
4 Chapter 2: Stress and Strain Relations Strain energy and its components, Measurement of strain. Chapter 2
5 Chapter 3: Two-Dimensional Problems in Elasticity Plane strain and plane stress problems, Airy stress function, Solution of simple elasticity problems. Chapter 3
6 Chapter 4: Yield Criteria Yield and Failure criteria, Maximum shearing stress theory, Maximum distortion energy theory, Octohedral shearing stress theory, Maximum principle stress theory, Mohr theory, Column –Mohr theory. Chapter 4
7 Chapter 5: Bending of Beams Moments of inertia, Principal moments of inertia, Mohr circle of inertia. Pure bending of beam with symmetrical cross section. Unsymmetrical bending. Chapter 5
8 Chapter 5: Bending of Beams Elementary theory of bending, Bending and shear stress, Shear center. Chapter 5
9 Chapter 6: Torsion Elementary theory of torsion of circular bars, General solution of torsion problem, Torsion of noncircular cross sections, Warping, Prandtl’s Stress function. Chapter 6
10 Chapter 6: Torsion Membrane analogy, Torsion of thin-walled members with open cross section., Torsion of multiply connected thin-walled sections. Chapter 6
11 Chapter 7: Energy methods Reciprocity Theorem, Castigliano’s Theorem. Chapter 7
12 Chapter 7: Energy methods Principle of Virtual work, Principle of minimum Potential energy Chapter 7
13 Chapter 8: Plastic Behaviour of Materials Plastic Deformation, Plastic deformations in axial loading and residual stresses. Chapter 8
14 Chapter 8: Plastic Behaviour of Materials Plastic deformations and residual stresses in torsion of circular bars,.Plastic deformations in symmetrical bending and residual stresses. Chapter 8
15 Final exam period All chapters
16 Final exam period All chapters

### Sources

Course Book 1. Ugural C. A. and Fenster S. K., Advanced Strength and applied Elasticity – 4th Edition, Prentice-Hall (2003) 2. Boresi A. P. and Schmith R.J., Advanced Strength of Materials – 6th Edition, Wiley, (2002) 3. Beer P.F., Johnston E.R., DeWolf J. and Mazurek D., Mechanics of Materials, McGraw-Hill, (2008) 4. Oden J.T. and Ripperger E.A., Mechanics of Elastic Structures, Hemisphere Publishing Corp.

### Evaluation System

Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 6 40
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 1 30
Final Exam/Final Jury 1 30
Toplam 8 100
 Percentage of Semester Work 70 30 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 An ability to apply advanced knowledge in computational and/or manufacturing technologies to solve manufacturing engineering problems .
2 An ability to define and analyze issues related with manufacturing technologies.
3 An ability to develop a solution based approach and a model for an engineering problem and design and manage an experiment.
4 An ability to design a comprehensive manufacturing system based on creative utilization of fundamental engineering principles while fulfilling sustainability in environment and manufacturability and economic constraints.
5 An ability to chose and use modern technologies and engineering tools for manufacturing engineering applications.
6 Ability to perform scientific research and/or carry out innovative projects that are within the scope of manufacturing engineering.
7 An ability to utilize information technologies efficiently to acquire datum and analyze critically, articulate the outcome and make decision accordingly.
8 An ability to attain self-confidence and necessary organizational work skills to participate in multi-diciplinary and interdiciplinary teams as well as act individually.
9 An ability to attain efficient communication skills in Turkish and English both verbally and orally.
10 An ability to reach knowledge and to attain life-long learning and self-improvement skills, to follow recent advances in science and technology.
11 An awareness and responsibility about professional, legal, ethical and social issues in manufacturing engineering.
12 An awareness about solution focused project and risk management, enterpreneurship, innovative and sustainable development.
13 An understanding on the effects of engineering applications on health, social and legal aspects at universal and local level during decision making process.

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 16 3 48
Presentation/Seminar Prepration
Project
Report
Homework Assignments 6 5 30
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 1 4 4
Prepration of Final Exams/Final Jury 1 5 5