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Syllabus ( ME 520 )

   Basic information
Course title: Fundamentals Of Finite Element Analysis
Course code: ME 520
Lecturer: Assist. Prof. Ali EKEN
ECTS credits: 7.5
GTU credits: 3 (3+0+0)
Year, Semester: 1/2, Fall and Spring
Level of course: Second Cycle (Master's)
Type of course: Area Elective
Language of instruction: English
Mode of delivery: Face to face
Pre- and co-requisites: undergraduate mechanics courses
Professional practice: No
Purpose of the course: General introduction to finite element method, Review of Matrix Algebra, Introduction to MATLAB, Spring Element, Bar Element, Bar Elements in 2-D Space, Bar Elements in 3-D Space, Beam Element,
Beam Element with axial force, Beam Elements in 2-D Space, Beam Elements in 3-D Space, 2-D Problems, Linear Triangular Element, Quadratic Triangular Element, Bilinear Quadrilateral Element,
Quadratic Quadrilateral Element, The Linear Tetrahedral (Solid) Element.
Ansys. To teach the limitations of FEM.
   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. To describe and develop the fundamental knowledge about the finite element method.

    Contribution to Program Outcomes

    1. Apply modern techniques, skills and equipments to advanced engineering practice

    Method of assessment

    1. Homework assignment
  2. To develop the ability of forming the finite element model of an engineering problem.

    Contribution to Program Outcomes

    1. Apply modern techniques, skills and equipments to advanced engineering practice

    Method of assessment

    1. Homework assignment
  3. To explain the solution techniques used in FEM.

    Contribution to Program Outcomes

    1. Apply modern techniques, skills and equipments to advanced engineering practice

    Method of assessment

    1. Written exam
  4. To demostrate an introductory knowledge about commercial FEM software; Ansys. To explain the limitations of FEM.

    Contribution to Program Outcomes

    1. Apply modern techniques, skills and equipments to advanced engineering practice

    Method of assessment

    1. Written exam
  5. To perform FEM solutions with MATLAB software.

    Contribution to Program Outcomes

    1. Apply modern techniques, skills and equipments to advanced engineering practice

    Method of assessment

    1. Homework assignment
   Contents Up
Week 1: Intoduction to FEM
Review of Matrix algebra
Week 2: Introduction to MATLAB
Week 3: Spring Element
Week 4: Bar Element
Week 5: Bar Elements in 2-D Space
Week 6: Bar Elements in 3-D Space
Week 7: Beam Element
Week 8: Beam Element with axial force
,Beam Elements in 2-D Space
Week 9: Beam Elements in 3-D Space
Week 10: 2-D Problems
Week 11: Linear Triangular Element
Week 12: Quadratic Triangular Element
Week 13: Bilinear Quadrilateral Element
Quadratic Quadrilateral Element
Week 14: The Linear Tetrahedral (Solid) Element
Week 15*:
Week 16*:
Textbooks and materials: Ders notları./Lecture Notes
Cook R.D., Finite Element Modeling for Stress Analysis, 1995, John Wiley & Sons.
Recommended readings: Kattan P.I., Matlab Guide to Finite Elements An Interactive Approach, Springer, 2002
Chen X., Liu Y., Finite Element Modeling and Simulation with Ansys Workbench, 2015
Cook D.C., Finite Element Modeling for Stress Analysis, John Wiley and Sons, 1995
Logan, D.,A First Course in the Finite Element Method, Second Edition, PWS Publishing Company, ITP, 1993.
Bickford,W.,A First Course in the Finite Element Method, Second Edition, Irwin Publishing, 1994.
Chandrupatla, T. and Belegundu, A., Introduction to Finite Elements in Engineering, Second Edition,
Prentice Hall, 1997.
http://www.colorado.edu/engineering/cas/courses.d/IFEM.d/
  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 0
Other in-term studies: 9 30
Project: 0
Homework: 3, 4, 6, 7, 8, 12 30
Quiz: 0
Final exam: 16 40
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 3 14
Own studies outside class: 4 14
Practice, Recitation: 0 0
Homework: 8 8
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 0 0
Mid-term: 0 0
Personal studies for final exam: 10 2
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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