Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
İNM-23-139FInIte elements and stress analysIs In engIneerIngElective116
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 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
11. To teach the basics of teaching theory and existing in the background of finite teaching 2. To teach the benefits and trainings of finite system rules 3. To be able to choose the element type in accordance with the commercially available element types and analysis method of ANYS 4. To be able to create finite elements to be designed to reflect the models, loads and supports to be shown in the design to be analyzed 5. Analyze 2-D design and 3-D design problems using ANSYS commercial program 6. Analysis front of 2-Dimensional and 3-Dimensional thermal design problems using ANSYS commercial program 7. ANSYS designed to be both written and dictionary and somehow the sun 8. Considerations for the objectives of the Finite Method in engineering design design and analysis
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
Recommended Optional Programme Components
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 Generalization of Hooke Law: Basic Equations of Elasticity Theory; Introduction to Matrix TheoryStress, Strain and Generalization of Hooke Law: Basic Equations of Elasticity Theory; Introduction to Matrix Theory
2Introduction to Finite Element Method: Short history and foundation of finite element method, nodes and elements, modeling principles, calculation steps and solution logic, sample application areas; process steps for the extraction of finite element equations; the example of the linear spring element and the spring elements; creation of solution matrix, boundary conditions, solution methodsModeling principles, calculation steps and solution logic, sample application areas; process steps for the extraction of finite element equations; the example of the linear spring element and the spring elements; creation of solution matrix, boundary conditions, solution methods
3Presentation of the commercial program ANSYS with finite element method: Basic concepts, geometry commands, fix commands, creating a geometric model, interaction with other CAD programs; Analysis of the 1B spring problem with Ansys: geometric model creation, material definition, element type selection, create a finite element model (mesh), entering loads and boundary conditions (abutment), solving the finite element model and evaluating the resultsGeometric model creation, material definition, element type selection, create a finite element model (mesh), entering loads and boundary conditions (abutment), solving the finite element model and evaluating the results
4Analysis of 2D cage problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 2D cage problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results
5Analysis of 3D cage problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 3D cage problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results
6Analysis of 1B and 2B beam problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 1B and 2B beam problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 1B and 2B beam problems using ANSYS:
7Analysis of 2D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 2D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 2D framework structures using ANSYS
8Analysis of 2D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results, Creation of global resistance matrix and load vector, The Finite Element Equations; Treatment of Boundary ConditionsAnalysis of 2D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results, Creation of global resistance matrix and load vector, The Finite Element Equations; Treatment of Boundary ConditionsAnalysis of 2D framework structures using ANSYS
9Mid Term ExamMid Term Exam
10Analysis of 3D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 3D framework structures using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results
11Plane stress, plane stress and axi-symmetry concepts; plane tension, analysis of strain and axisimetric problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsGeometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results
12Analysis of 3D problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 3D problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results
13Analysis of 3D problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 3D problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results
14Analysis of 2D and 3D thermal problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the resultsAnalysis of 2D and 3D thermal problems using ANSYS: geometric model creation, material identification, element type selection, finite element model (mesh making), load and boundary conditions (support), solving the finite element model and evaluating the results
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/
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination140
Project Presentation160
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities70
End Of Term (or Year) Learning Activities30
SUM100
Language of Instruction
Turkish
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination14040
Final Examination15050
Project Preparation250100
TOTAL WORKLOAD (hours)190
Contribution of Learning Outcomes to Programme Outcomes
LO1
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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