Information Package
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Program of Civil Engineering (English)

CE488

INTRODUCTION TO FINITE ELEMENTS

Course Code
CE488
Semester
-
Theory+Practice
3 + 0
ECTS
5
Course TypeElective Course
Course LevelBachelor's Degree
Year of Study-
Semester-
ECTS5
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. To understand the fundamentals of physical and mathematical theory that exist in the background of the finite element method.
  2. To learn the basics of variation principles in solid mechanics.
  3. To understand the types of elements that exist in the package programs and to select the appropriate element type depending on the analysis method.
  4. To be able to do finite element solution in linear and nonlinear material behavior.
  5. To learn isoparametric modeling that everyone can easily program on the computer.
  6. Modeling the character and behavior of dynamic problems with finite element analysis.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionMatrix algebra. Potential energy and Rayleigh-Ritz Method. Element interpolation and local coordinates. Elements based on assumed displacement fields in 1-D. Plane stress analysis. Higher order elements. Computer implementation.
Course Contents
WEEK TOPICS
1st Week Introduction to numerical analysis methods
2nd Week Finite element types, definition of stiffness and rod elements
3rd Week Element matrices and the creation of the complete stiffness matrix
4th Week Truss systems
5th Week Applications of linear elasticity in Finite Element method
6th Week Analysis of two-dimensional problems
7th Week Introduction to variation mathematics
8th Week MIDTERM
9th Week Variation techniques used in finite element analysis
10th Week Galerkin and Ritz methods, interpolation functions
11th Week Basic elements, high-grade elements
12th Week Dynamic analysis with finite element method
13th Week Isoparametric element equation inference
14th Week Analysis of two dimensional and solid body problems
15th Week Course overview
Recommended or Required ReadingReference:
Reddy, J.N., An Introduction to the Finite Element Method, McGraw-Hill Education; 3 edition, 2018.
Additional Resources:
Fish, J., and T. Belytschko. A First Course in Finite Elements, Wiley, 2007.
Cook, R. D., Malkus, D.S. and Plesha, M. E., Concepts and Applications of Finite Element Analysis, 3rd ed., Wiley, 1989.
McGuire, W., Gallagher, R.H., Ziemian, R.D., Matrix Structural Analysis, 2nd edition, Wiley, 1999.
Wasti, T., and M. Utku. Introduction to Finite Elements, METU, 2001.
Planned Learning Activities and Teaching Methods
  • Lecture
  • Questions/Answers
  • Problem Solving
  • Practice
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 35
Assignment 4 15
Attendance 1 5
Total(%) 55
Contribution of In-term Studies to Overall Grade(%) 55
Contribution of Final Examination to Overall Grade(%) 45
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 2 2
Preparation for Quiz
Individual or group work
Preparation for Final exam 1 50 50
Course hours 14 3 42
Preparation for Midterm exam 1 30 30
Laboratory (including preparation)
Final exam 1 2 2
Homework 4 5 20
Total Work Load146
Total Work Load / 30 (h)4.86
ECTS Credit of the Course5
Language of InstructionEnglish
Work Placement(s)No

Programme Qualifications / Learning Outcomes

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K4 X X X X X X
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