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Syllabus ( EQE 511 )


   Basic information
Course title: Finite Element Method
Course code: EQE 511
Lecturer: Assist. Prof. Ahmet Anıl DİNDAR
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 , Lab work
Pre- and co-requisites: None
Professional practice: No
Purpose of the course: Helping students to gain the basic skills of finite elements method while analysing, designing and optimizing engineering systems also by computer software
   Learning outcomes Up

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

  1. Use the basic skills in finite element methods for analysis, design, and optimization of engineering systems

    Contribution to Program Outcomes

    1. Define and manipulate advanced concepts of Earthquake and Structural Engineering
    2. Develop basic knowledge of seismic design codes, structural dynamics, geotechnical earthquake engineering, earthquake resistant design, seismic data acquisition and manipulation, earthquake hazard and risk analysis
    3. Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
    4. Acquire scientific knowledge and work independently
    5. Develop an awareness of continuous learning in relation with modern technology
    6. Find out new methods to improve his/her knowledge
    7. Understand the applications and basic principles of instrumentation and/or software vital to his/her thesis projects
    8. Effectively express his/her research ideas and findings both orally and in writing
    9. Demonstrating professional and ethical responsibility.

    Method of assessment

    1. Written exam
    2. Homework assignment
  2. Interpret practical issues such as schemes, implementation, and coding of finite element

    Contribution to Program Outcomes

    1. Define and manipulate advanced concepts of Earthquake and Structural Engineering
    2. Develop basic knowledge of seismic design codes, structural dynamics, geotechnical earthquake engineering, earthquake resistant design, seismic data acquisition and manipulation, earthquake hazard and risk analysis
    3. Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
    4. Acquire scientific knowledge and work independently
    5. Develop an awareness of continuous learning in relation with modern technology
    6. Find out new methods to improve his/her knowledge
    7. Understand the applications and basic principles of instrumentation and/or software vital to his/her thesis projects
    8. Effectively express his/her research ideas and findings both orally and in writing
    9. Demonstrating professional and ethical responsibility.

    Method of assessment

    1. Written exam
    2. Oral exam
  3. Apply the most used elements in engineering practice (truss, frame, plate, membrane, shell and solid) to real life problems using educational and commercial software

    Contribution to Program Outcomes

    1. Define and manipulate advanced concepts of Earthquake and Structural Engineering
    2. Develop basic knowledge of seismic design codes, structural dynamics, geotechnical earthquake engineering, earthquake resistant design, seismic data acquisition and manipulation, earthquake hazard and risk analysis
    3. Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
    4. Acquire scientific knowledge and work independently
    5. Develop an awareness of continuous learning in relation with modern technology
    6. Find out new methods to improve his/her knowledge
    7. Understand the applications and basic principles of instrumentation and/or software vital to his/her thesis projects
    8. Effectively express his/her research ideas and findings both orally and in writing
    9. Demonstrating professional and ethical responsibility.

    Method of assessment

    1. Oral exam
    2. Term paper
   Contents Up
Week 1: Introduction to finite elements method
Review of matrix theory and mathematical concepts
Week 2: Global and local coordinate systems
Stiffness and local - global transformation matrix for truss element
Week 3: Constructing and solving 2D truss system using Matlab
Week 4: Stiffness and local - global transformation matrix for 2D beam and frame elements
Week 5: Constructing and solving 2D frame system using Matlab
Week 6: Stiffness and local - global transformation matrix for 3D frame elements
Week 7: Introduction to two dimensional elements (Plane stress, Plan strain)
Shape functions
Numerical integration
Week 8: Mid-term exam
Week 9: Constructing and solving plane stress and plane strain systems using Matlab
Week 10: Formulation for plate, membrane and shell elements
Week 11: Formulation for three dimensional solid elements
Week 12: Review of existing finite elements codes
Application to real life structural problems (buildings, bridges, dams etc.)
Week 13: Modeling of slabs, diaphragms, shear walls and mat foundation
Frame span loads, rigid ends, releases and eccentric loads
Week 14: Dynamic time history and dynamic modal analyses of structures
Week 15*: Introduction to nonlinear analysis of structures
Week 16*: Final exam
Textbooks and materials:
Recommended readings: 1. Concepts and Applications of Finite Element Analysis, Robert D. Cook et al, 3rd Edition, John Wiley & Sons, Inc. 1989.
2. Matrix Structural Analysis, William McGuire, 2nd Edition, John Wiley & Sons, Inc. 2000.
3. The Finite Element Method Vol 1, Zienkiewicz O.C. and R.L. Taylor, Basic Formulation and Linear Problems, McGraw-Hill Book Company, London 1989.
4. Programming the finite Element Method, Smith I.M. and D.V. Griffiths, Third edition, John Wiley & Sons, Inc. 1998.
  * 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: 8 20
Other in-term studies: 0
Project: 14 20
Homework: 3,6,9 20
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 15
Own studies outside class: 3 15
Practice, Recitation: 0 0
Homework: 10 6
Term project: 10 2
Term project presentation: 1 1
Quiz: 0 0
Own study for mid-term exam: 10 1
Mid-term: 1 1
Personal studies for final exam: 8 1
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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