Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
180104007105FINITE ELEMENTS - IElective475
Level of Course Unit
First 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 1-Dimensional and 2-Dimensional 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: 2-Dimensional and 3-Dimensional stress analysis (linear and non-linear), 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
1To understand the fundamentals of physical and mathematical theory underlying the finite element method
22. Understand the advantages and limitations of the finite element method
33. 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.
44. 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.
55. To be able to analyze 2-D and 3-Dimensional structural design problems using ANSYS commercial program
66. To be able to analyze 2-D and 3-Dimensional thermal design problems using ANSYS commercial program
77. To be able to present the design work done using ANSYS in a clear and understandable way, both in writing and orally.
8To understand the importance of using the Finite Element Method in the design and analysis of engineering systems
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
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 one-dimensional 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 three-dimensional truss systems; Beam and frame construction problems: One-dimensional beam, two- and three-dimensional beam and frame structures; Two-dimensional stress analysis problems: Plane stress and plane strain; Three-dimensional stress analysis problems; thermal problems Visual expression is applied in the form of assignments and projects.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Stress, Strain and Review of Generalized Hooke's Law; Fundamental Equations of Elasticity Theory; Introduction to Matrix Theory
2Introduction 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
3Introduction 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
4Analysis 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
5Analysis 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
6Analysis 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
7Analysis 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,
8Midterm Exam
9Analysis 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
10Analysis 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
11Plane 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
12Analysis 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
13Analysis 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
14Final 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: 0-13-111202-3, 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: 0-471-35605-0, 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
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination140
Project Presentation260
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination150
Project Presentation250
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
n/a
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Project Presentation435140
Individual Study for Final Examination122
TOTAL WORKLOAD (hours)144
Contribution of Learning Outcomes to Programme Outcomes
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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