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Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Mechanical Engineering
Course Details
Course Code Course Name Year Period Semester T+A+L Credit ECTS
05481102 Finite Element Methods 4 Spring 8 3+0+0 3 6
Course Type Elective
Course Cycle Bachelor's (First Cycle) (TQF-HE: Level 6 / QF-EHEA: Level 1 / EQF-LLL: Level 6)
Course Language Turkish
Methods and Techniques -
Mode of Delivery Face to Face
Prerequisites -
Coordinator -
Instructor(s) Prof. Mehmet ÇELİK
Instructor Assistant(s) -
Course Instructor(s)
Name and Surname Room E-Mail Address Internal Meeting Hours
Prof. Mehmet ÇELİK A-229 [email protected] 7242
Course Content
Sonlu Elemanlar yöntemi için temel kabuller, şekil fonksiyonu, referans uzayına dönüşüm, referans uzayında şekil fonksiyonlarının kullanılması, elaman ağı ve eleman seçimi, diferansiyel denklemlerin sonlu elemanlar ile çözümü. Yapı sistemlerinin sonlu elemanlar ile çözümü, elastik stabilite problemlerinin sonlu elemanlar ile çözülmesi, yapı mühendisliğinde iki boyutlu ve üç boyutlu problemlerde sonlu elemanlar yöntemi ile çözüm.
Objectives of the Course
The aim of this course is to introduce the finite element method for solution of engineering structures, to give details about the finite element models, to understand the writing of system matrices in the reference space and time space, to solve the differential equations by finite element method, to understand the use of finite elements in basic elasticity problems two-dimensional and three-dimensional structure problems to apply.
Contribution of the Course to Field Teaching
Basic Vocational Courses
Specialization / Field Courses X
Support Courses
Transferable Skills Courses
Humanities, Communication and Management Skills Courses
Relationships between Course Learning Outcomes and Program Outcomes
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Program Learning Outcomes Level
P1 Adequate knowledge of mathematics, science and mechanical engineering disciplines; Ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. 5
P2 Ability to identify, formulate and solve complex Mechanical Engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. 5
P4 Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Mechanical Engineering applications; Ability to use information technologies effectively. 5
Course Learning Outcomes
Upon the successful completion of this course, students will be able to:
No Learning Outcomes Outcome Relationship Measurement Method **
O1 Knows numerical calculations and analysis P.1.2 1,7
O2 Knows Advanced Mathematics knowledge and theorems and applies them to the field of engineering. P.1.8 1,7
O3 Makes static, dynamic and strength analysis of mechanical systems P.2.14 1,7
O4 Has knowledge about the principles of mechanical design and its distinguishing features from classical design. P.4.4 1,7
** Written Exam: 1, Oral Exam: 2, Homework: 3, Lab./Exam: 4, Seminar/Presentation: 5, Term Paper: 6, Application: 7
Weekly Detailed Course Contents
Week Topics
1 Basic Concepts in Finite Element Method
2 Element recipe, node point and node concept, element network creation
3 Reference elements, transformation to reference space
4 Basic polynomial and parametric approach, basic polynomial and shape functions
5 Weighted Residual Method, integral applications, functional concept
6 Separation of integral forms, parametric approach to whole region and sub-regions
7 Selection of weight function Point Dot Colocation
8 Midterm
9 Galerkin method, least squares method and function separation by Ritz method
10 Formation of finite elements in matrix form
11 Analysis of structural systems in matrix form by finite element method
12 Solution of differential equations with finite elements
13 Flexibility problem solving with finite element
14 Applications
Textbook or Material
Resources BATHE, Klaus Jürgen, Finite Element Procedures, Prentice Hall, 1037 page, 1995.
Evaluation Method and Passing Criteria
In-Term Studies Quantity Percentage
Attendance 1 10 (%)
Laboratory - -
Practice - -
Course Specific Internship (If Any) - -
Homework 1 5 (%)
Presentation - -
Projects 1 25 (%)
Seminar - -
Quiz - -
Midterms 1 20 (%)
Final Exam 1 40 (%)
Total 100 (%)
ECTS / Working Load Table
Quantity Duration Total Work Load
Course Week Number and Time 14 3 42
Out-of-Class Study Time (Pre-study, Library, Reinforcement) 14 3 42
Midterms 1 30 30
Quiz 0 0 0
Homework 1 3 3
Practice 0 0 0
Laboratory 0 0 0
Project 1 20 20
Workshop 0 0 0
Presentation/Seminar Preparation 0 0 0
Fieldwork 0 0 0
Final Exam 1 40 40
Other 0 0 0
Total Work Load: 177
Total Work Load / 30 5,90
Course ECTS Credits: 6
Course - Learning Outcomes Matrix
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Learning Outcomes P1 P2 P4
O1 Knows numerical calculations and analysis 5 - -
O2 Knows Advanced Mathematics knowledge and theorems and applies them to the field of engineering. 5 - -
O3 Makes static, dynamic and strength analysis of mechanical systems - 5 -
O4 Has knowledge about the principles of mechanical design and its distinguishing features from classical design. - - 5