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Finite Element Theory and Application For Structural Systems

Civil Engineering

Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Finite Element Theory and Application For Structural Systems INS557 Elective Master's degree 1 Fall 8

Name of Lecturer(s)

Prof. Dr. Kemal BEYEN

Learning Outcomes of the Course Unit

1) Theoretical back ground of the FEM and coding technique for correct application and tracking the element end numbers and forces.
2) Application of the FEM on real cases.
3) FEM software package (Educational version) application and results and discussion for different loading configurations.

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7 8 9
Learning Outcomes
1 High High Low Low No relation High High High High
2 High High Low Low No relation High High High High
3 High High Low Low No relation High High High High

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Structural Analysis-I (Int. Eng. Structures), Structural Analysis-II, Matrix theory of Structures

Course Contents

General information and matrix calculations. Elastisity relations. Finite Element Method. Introduction. Bending calculations under the effect of general external load by the help of finite element method. Stability calculations by the help of finite element method. Finite element method under the effect of external dynamical effects. Shape functions. Beam calculations by the help of finite element method. Beam bending calculations by the help of finite element method. Plane stress and plane strain. Thin plate. Plane strain. Plate calculations. Bending calculations of thin plate by the help of rectangular finite element method.

Weekly Schedule

1) Background information, FEM History and Matrix Theory of Analysis
2) Elasticity, Elastic Relationships, Stress State and Components.
3) Deformations and Components. Displacement-Deformation Theory.
4) Displacement and Deformation Theories.
5) Finite Elements Under External Loading in Case of Axial Loading, Bending Moment and Shear Forces.
6) Finite Elements Under External Loading in Case of Axial Loading, Bending Moment and Shear Forces.
7) Finite Elements Under External Loading in Case of Axial Loading, Bending Moment and Shear Forces.
8) Mid Term Exam
9) Stability Analysis in FEM.
10) Dynamic Analysis in FEM in Case of the Dynamic Loading
11) Plain stress and Plain Deformations.
12) Thin Plate and Shell Theory.
13) Thick Plate and Shelle Theory.
14) Plain Stress and Plain Strains, Constant Stress Elements (3CSE) - Plain Rectangular Stress Elements
15) Plate Analysis using triangle and square members.
16) Real Engineering Study - Application with FEA Package.

Recommended or Required Reading

1- Ders Notları (K. Beyen)
2- Lectures on FEA (Prof. Dr. Semih Tezcan)
3- Fundamentals of Finite Element Analysis (David V. Hutton)

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Modelling
6) Case Study
7) Self Study
8) Problem Solving
9) Project Based Learning


Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade

40%

 

Number

Percentage

Semester Studies

Midterm Examination

1

50%

Quiz

1

30%

Presentation/Seminar

1

20%

 

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required