# 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 3 0 0 3 5
Pre-requisite Course(s)
ME210 - Strength of Materials
Course Language English N/A Bachelor’s Degree (First Cycle) 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 Adequate knowledge of mathematics, physical sciences and the subjects specific to engineering disciplines; the ability to apply theoretical and practical knowledge of these areas in the solution of complex engineering problems.
2 The ability to define, formulate, and solve complex engineering problems; the ability to select and apply proper analysis and modeling methods for this purpose.
3 The ability to design a complex system, process, device or product under realistic constraints and conditions in such a way as to meet the specific requirements; the ability to apply modern design methods for this purpose.
4 The ability to select, and use modern techniques and tools needed to analyze and solve complex problems encountered in engineering practices; the ability to use information technologies effectively.
5 The ability to design experiments, conduct experiments, gather data, and analyze and interpret results for investigating complex engineering problems or research areas specific to engineering disciplines.
6 The ability to work efficiently in inter-, intra-, and multi-disciplinary teams; the ability to work individually.
7 (a) Sözlü ve yazılı etkin iletişim kurma becerisi; etkin rapor yazma ve yazılı raporları anlama, tasarım ve üretim raporları hazırlayabilme, etkin sunum yapabilme, açık ve anlaşılır talimat verme ve alma becerisi. (b) En az bir yabancı dil bilgisi; bu yabancı dilde etkin rapor yazma ve yazılı raporları anlama, tasarım ve üretim raporları hazırlayabilme, etkin sunum yapabilme, açık ve anlaşılır talimat verme ve alma becerisi.
8 Recognition of the need for lifelong learning; the ability to access information, follow developments in science and technology, and adapt and excel oneself continuously.
9 Acting in conformity with the ethical principles; professional and ethical responsibility and knowledge of the standards employed in engineering applications.
10 Knowledge of business practices such as project management, risk management, and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development.
11 Knowledge of the global and social effects of engineering practices on health, environment, and safety issues, and knowledge of the contemporary issues in engineering areas; awareness of the possible legal consequences of engineering practices.
12 (a) Knowledge of (i) fluid mechanics, (ii) heat transfer, (iii) manufacturing process, (iv) electronics and control, (v) vehicle components design, (vi) vehicle dynamics, (vii) vehicle propulsion/drive and power systems, (viii) technical laws and regulations in automotive engineering field, and (ix) vehicle verification tests. (b) The ability to merge and apply these knowledge in solving multi-disciplinary automotive problems. X
13 The ability to make use of theoretical, experimental, and simulation methods, and computer aided design techniques in automotive engineering field.
14 The ability to work in the field of vehicle design and manufacturing.

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