Course Information

#### Course Description

Course Code Semester Teoric Credit ECTS
FINITE ELEMENT METHODS MKM 520 0 3 + 0 3 6
Prerequisite Courses Strength of Materials, Engineering Materials and Engineering Mathematics
 Course Language Türkçe Level of the Course Yüksek Lisans Course Type SECMELI Course Coordinator Doç.Dr. MEHMET ÇALIŞKAN Instructor Course Assistants Course Category Alanına Uygun Öğretim Course Objective Giving students a numerical method that can solve complex problems faced by engineers or problems that can not be closed form solutions with an acceptable approximation Course Content Linear Algebra and Tansorr Mechanics; Examination of Basic Finite Element Method approaches; Application Areas of the Finite Element Method and how to apply them; Introduction of simulation types (Analytical and Numerical Finite Element Methods under Elastic and Plastic Conditions, Stress-Strain Relations, Experimental Determination and Calculations of Mechanical Properties, Sample Problems and Simulation Applications.
 Learning Outcomes of the Course Teaching Methods Measurement Methods 1 - Calculates 1D, 2D and 3D Linear elastic problems with fundamental analytical approach by Finite Element Method. 16 - 15 - 4 - 3 - 2 - 1 - F - D - C - A - 2 - Makes problems simpler and simulatable. 16 - 12 - 9 - 6 - 5 - 4 - 3 - 2 - 1 - C - A - D - F - 3 - Simulates 1D, 2D and 3D Linear elastic problems in a fundamental way. 16 - 12 - 9 - 6 - 3 - 2 - 1 - F - C - A - D - 4 - Interprets computer aied simulation results in real terms. 16 - 15 - 10 - 6 - 4 - 3 - 2 - 1 - F - D - C - A -
 Teaching Methods: 16:Project Based Learning 12:Case Study 9:Simulation 6:Motivations to Show 3:Discussion 2:Question-Answer 1:Lecture 5:Demonstration 4:Drilland Practice 15:Problem Solving 10:Brain Storming Measurement Methods: F:Performance Task C:Homework A:Testing D:Project / Design

#### Course Flow

Week Topics Preliminary
2 Element Types and Material Models; Numerical Analysis Approaches and Computer Technologies.
14 1. Plane and Shell Elements. 2. 3D Solid Elements and Elasticity.
12 Load Transformations and Stress calculation; Analytical and Simulation applications.
1 Introduction, Basic concepts and application areas of Finite Element Method.
3 Linear Algebra fast repetition.
4 Introduction to elasticity, and Hooke equations.
5 Direct Stiffness Method and Linear Spring Element Approach.
6 Linear, Static Analysis of Bar and Beam Elements; Analytical and Simulation applications; Comparing with Basic Strength Problems and interpreting the results.
7 Distributed loads in bars, 2D and 3D Bar Elements, Transformation Matrices; Analytical and Simulation applications.
8 2D and 3D Beam Elements; Equivalent point loads of transverse distributed loads; Analytical and Simulation applications.
9 Analysis of Frame Systems with Finite Elements; Analytical and Simulation applications.
10 2D Problems: Plane Stress, Plane Strain, Stress-Stress Thermal Relations, Strain and Displacement, Boundary Conditions, Definite (Exact) Elastic Solution and Constant Stress Triangle (CST or T3) and Analytical Applications.
11 Linear Strain Triangle (LST or T6), Linear Quadrilateral Element (Q4), Quadratic Quadrilateral Element (Q8); Analytical and Simulation applications
13 Finite Element Analysis Techniques.

#### Resources

Lecture Notes

Finite Element Lecture Notes

Course Resources

1. Finite Element Procedures 2nd Ed., K.J. Bathe, Prentice Hall, New Jersey, 1996.

2. A First Course in the Finite Element Method 5th Ed., Daryl L. Logan, Cengage Learning, Stamford USA, 2010.

3. An Introduction to the  Finite Element Method 3rd Ed., J.N. Reddy, McGraw-Hill, Singapore, 2006.

4. Finite Element Analysis: Theory and application with ANSYS, Saeed Moaveni, Prentice Hall, New Jersey, 1999.

5. FEM Simulations with Ansys Workbench 14, Theory, Applications, Case Studies, Huei Huang Lee, SDC Publications, 2014.

6. Elasticity, Theory, Applications, and Numerics 3rd Ed., Martin H. Sadd, Academic Press (Elsevier), Massachusetts, USA, 2014.

7. Schaum's Outlines: Linear Algebra 3rd Ed., Seymour Lipschutz, Marc Lars Lipson, McGraw-Hill, USA, 2001.

8. Lecture Notes 1997-2003: Introduction to the FEM, Yijun Liu, University of Cincinati, OH, USA.

9. Lecture Notes 2015: Finite Elements for Engineers, S.D. Rajan, Arizona State University, AZ, USA.

10. Lecture Notes 2014 Fall: Introduction to Finite Elements, Suvranu De, Rensselaer Polytechnic Institute, USA.

11. Finite Element Analysis Web Course 2015, S.K. Bhattacharyya, IIT Kharagpur NPTEL, India.

12. Lecture Notes 2015: Introduction to Finite Element Method, Madhukar Vable, Michigan Technological University, USA.

#### Contribution of the Course to Program Outcomes

No Program Learning Outcomes Contribution Level
1 2 3 4 5

#### Evaluation System

Contribution Level Order Percentage of Contribution
AraSinav 1 50
Odev 1 50
Total 100
The Ratio of the Semester to Success 50
Final to Success Ratio 50
Total 100