Graduate
Institute of Graduate Studies
Structural Enginnering (PHD)
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Finite Element Method

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
İMYD 1001 Finite Element Method 3/0/0 DE Turkish 9
Course Goals
The primary of this course is to teach the fundamentals of the finite element method and its applications in structural enegineering
Prerequisite(s)
Corequisite(s)
Special Requisite(s)
Instructor(s) Assist. Prof. Dr. Gökhan YAZICI
Course Assistant(s)
Schedule
Office Hour(s)
Teaching Methods and Techniques Oral Presentation, Computer Applications
Principle Sources Zienkiewics, O.C., Taylor, R.L., and Zhu, J.Z., (2005). The Finite Element Method: Its Basis and Fundamentals, 6th Edition, Elsevier, Burlington, MA.
Other Sources Bathe.KJ.(1996).Numerical Methods in Finite Element Analysis.Prentice-Hall.
Course Schedules
Week Contents Learning Methods
1. Week Introduction. General concepts.
2. Week Summary of analysis procedure by a simple example.Truss analysis.
3. Week Variational and weighted residual methods.
4. Week The Ritz method. The Ritz and Rayleigh-Ritz FEM.
5. Week General approach to structural analysis. Principal of minimum potential energy and virtual displacement methods.
6. Week The shape functions. Parameter functions. Convergence requirements. C° cont. shape functions.
7. Week One, two and three dimensional elements.Axisymmetric elements.
8. Week Stress analysis. Plane stress and plain strain.
9. Week Beam and frame elements. Substrııcturing. Element rigidity and load matrices.
10. Week Midterm Exam
11. Week Axisyymetric and 3D stress analysis.
12. Week C0 cont. higlıer order shape functions.C1 cont. shape functions.
13. Week Curved isoparametric elements and numerical integration.
14. Week Bending of plates. A detailed numerical example.
15. Week
16. Week
17. Week
Assessments
Evaluation tools Quantity Weight(%)
Midterm(s) 1 30
Project(s) 1 20
Final Exam 1 50


Program Outcomes
PO-1Develop and deepen knowledge in the field of Structural Engineering.
PO-2Conceive the interdisciplinary interaction which the field of Structural Engineering is related with.
PO-3Use of theoretical and practical knowledge within the field of Structural Engineering at a proficiency level.
PO-4Interpret the knowledge about the field of Structural Engineering by integrating the information gathered from different disciplines and formulate new knowledge.
PO-5Solve the problem faced related to the field of Structural Engineering by using research methods.
PO-6Independently conduct studies that require proficiency in the field of Structural Engineering
PO-7Take responsibility and develop new strategic solutions as a team member in order to solve unexpected complex problems faced within the applications in the field of Structural Engineering.
PO-8Demonstrate leadership in contexts that require solving problems related to the field of Structural Engineering.
PO-9Evaluate knowledge and skills acquired at proficiency level in the field of Structural Engineering with a critical approach and direct the learning.
PO-10Communicate current developments and studies within the field of Structural Engineering to both professional and non-professional groups systematically using written, oral and visual techniques by supporting with quantitative and qualitative data.
PO-11Investigate, improve social connections and their conducting norms with a critical view and act to change them when necessary.
PO-12Communicate with peers by using a foreign language at least at a level of European Language Portfolio B2 General Level.
PO-13Use advanced informatics and communication technology skills with software knowledge required by the field of Structural Engineering.
PO-14Audit the data gathering, interpretation, implementation and announcement stages by taking into consideration the cultural, scientific, and ethical values and teach these values.
PO-15Develop strategy, policy and implementation plans on the issues related to the field and assess the findings within the frame of quality processes.
PO-16Use the knowledge, problem solving and/or implementation skills in interdisciplinary studies.
Learning Outcomes
LO-1To understand the fundamentals of finite element analysis
LO-2To understand the finite element analysis procedures in structural engineering
LO-3To understand the principle of minimum potential energy and the fundamentals of virtual displacement methods
LO-4To understand the finite element analysis procedures used in stress analysis
LO-5To understand the fundamentals of shape functions, parameter functions and convergence criteria
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10PO 11PO 12PO 13PO 14PO 15PO 16
LO 1
LO 2
LO 3
LO 4
LO 5