
Description of Individual Course UnitsCourse Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  MKM23114   Elective  1  2  6 
 Level of Course Unit  Second Cycle  Objectives of the Course  The finite element method is now widely used in the numerical solution of differential equations in solid mechanics, fluid mechanics, heat transfer and other engineering fields. This course is an introduction to the theory of the finite element method and its application in mechanical engineering. This course is divided into two parts:
1. Studying the theories and concepts in the background of the finite element method with simple 1Dimensional and 2Dimensional examples,
2. Application of this method in solving engineering problems using ANSYS, a commercial finite element program.
Theory and practice will be intertwined throughout the semester. Examples of topics covered by the course are: 2Dimensional and 3Dimensional stress analysis (linear and nonlinear), thermal analysis, modeling techniques and evaluation of results.
ANSYS commercial program has an important place in the teaching of this course. Students taking the course will learn to solve more complex problems using ANSYS instead of writing their own programs for simple problems.  Name of Lecturer(s)  Doktor Öğretim Üyesi Gökçen AKGÜN  Learning Outcomes  1  1. To understand the fundamentals of physical and mathematical theory underlying the finite element method
2. Understand the advantages and limitations of the finite element method
3. To understand the element types that exist in the commercial program of ANYS and to be able to choose the appropriate element type depending on the analysis method.
4. To be able to create a finite element model to reflect the loads and supports that the structure to be analyzed will be exposed in use as much as possible.
5. To be able to analyze 2D and 3Dimensional structural design problems using ANSYS commercial program
6. To be able to analyze 2D and 3Dimensional thermal design problems using ANSYS commercial program
7. To be able to present the design work done using ANSYS in a clear and understandable way, both in writing and orally.
8. To understand the importance of using the Finite Element Method in the design and analysis of engineering systems 
 Mode of Delivery  Daytime Class  Prerequisites and corequisities  N/A  Recommended Optional Programme Components  N/A  Course Contents  Stress, strain and repetition of the generalized Hooke's Law; Fundamental equations of the Theory of Elasticity; Introduction to the finite element method and examples of its applications; Introduction to matrix theory; Derivation of finite element equations: Example of onedimensional spring problems; Introduction of the ANSYS commercial program; ANSYS; analysis steps: Selection of the element type suitable for the problem to be solved, defining the information required for the selected element types including material information and element constants, defining the boundary conditions required for the problem to be solved and the loads to be applied, defining the analysis type, applied boundary conditions and solving the finite element model for loads, examining the results obtained after the solution, listing the desired results in a file or displaying them on the screen; Application examples with ANSYS: Lattice problems: bar elements, two and threedimensional truss systems; Beam and frame construction problems: Onedimensional beam, two and threedimensional beam and frame structures; Twodimensional stress analysis problems: Plane stress and plane strain; Threedimensional stress analysis problems; thermal problems
Visual expression is applied in the form of assignments and projects.  Weekly Detailed Course Contents  
1  Stress, Strain and Review of Generalized Hooke's Law; Fundamental Equations of Elasticity Theory; Introduction to Matrix Theory    2  Introduction to Finite Element Method: Brief history and background of finite element method, nodes and elements, modeling principles, calculation steps and solution logic, sample application areas; process steps for deriving finite element equations; linear spring element example and assembling the spring elements; creation of solution matrix, boundary conditions, solution methods    3  Introduction of ANSYS commercial program including finite element method: Basic concepts, geometry commands, correction commands, geometric model creation, interaction with other CAD programs; Analysis of 1D spring problem with Ansys: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results    4  Analysis of 2D lattice problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results    5  Analysis of 3D lattice problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results    6  Analysis of 1D and 2D beam problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results,    7  Analysis of 2D frame structures using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (supporting), solving finite element model and evaluating results, Global stiffness matrix and load creation of the vector    8  Midterm Exam    9  Analysis of 2D frame structures using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results    10  Analysis of 3D beam and frame structures using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results    11  Plane stress, plane strain and axisymmetry concepts; Analysis of plane stress, strain and axisymmetric problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (supporting), solving finite element model and evaluating results    12  Analysis of 3D problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results    13  Analysis of 2D and 3D thermal problems using ANSYS: geometric model creation, material definition, element type selection, finite element model creation (meshing), input of loads and boundary conditions (support), solving finite element model and evaluating results    14  Final Exam   
 Recommended or Required Reading  Çubuk Sonlu Elemanlar, Prof. Dr. Mehmet H. OMURTAG, Birsen Yayınevi
Saeed Moaveni, Finite Element Analysis: Theory and Applications with ANSYS, 2nd Ed., ISBN: 0131112023, Prentice Hall, 2003, 840 pp
Sonlu Elemanlar Analizi (Teori ve Ansys ile Uygulamalar), Saeed Moavani, Türkçe çeviri, Prof. Dr. Ali Osman AYHAN, palme yayınları
Sonlu Elemanlar Yöntemine Giriş, Jacob Fish, Ted Belytschko, Nobel Akademik yayıncılık.
Ansys Workbench, Doç Dr. İsmail OVALI, Kodlab yayınları
Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt, Concepts and Applications of Finite Element Analysis, 4th Edition, ISBN: 0471356050, John Wiley, 736 Pages, October 2001
http://web.deu.edu.tr/ansys/
http://www.mece.ualberta.ca/tutorials/ansys/
Prof. Dr. Ramazan KAYACAN Gerinme ve Gerilme Ölçme Ders Notları  Planned Learning Activities and Teaching Methods   Assessment Methods and Criteria  
Midterm Examination  1  40  Project Presentation  1  60  SUM  100  
Final Examination  1  100  SUM  100  Term (or Year) Learning Activities  40  End Of Term (or Year) Learning Activities  60  SUM  100 
 Language of Instruction  Turkish  Work Placement(s)  N/A 
 Workload Calculation 

Midterm Examination  1  40  40  Final Examination  1  55  55  Project Presentation  1  85  85  
Contribution of Learning Outcomes to Programme Outcomes   * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High 



Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • email: info@igdir.edu.tr

