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Course Name |
INTRODUCTION TO FINITE ELEMENT METHOD |
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Course Code |
00419 |
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Semester |
8 |
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Credit |
3.0 |
Lecture (hour / week) |
Recitation (hour / week) |
Laboratory (hour / week) |
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3 |
0 |
0 |
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ECTS Credit |
4.0 |
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Language |
English |
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Course Type / Category |
Undergraduate / Elective |
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Pre-requisite(s) |
Structural Analysis II |
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Course Objectives |
The aim of the course is to develop a clear understanding of the fundementals of Finite Element Method and understanding shape functions, principles of of minimum potential energy. The students will have the ability to solve plane-stress and plane-strain problems and knowledge about structures with plate and shell type of finite elements |
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Course Description / Contents |
o Truss beam and frame members Isoperimetric elements o Plane-stress and plane-strain problems o Structures with plate and shell type of finite elements o Principles of minimum potential energy o Numerical integration techniques o Gauss numerical integration technique o Shape functions o Displacement functions o Stress-strain and force displacement equations. |
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References |
Textbook Course Text notes (Prof. Dr. Namýk Kemal Öztorun “Finite Element Method for Structural Analysis” Öztorun, N. K., “A Rectangular Finite Element Formulation”, Finite Elements in Analysis and Design42 (2006) 1031 –1052 May 2006 Oztorun, N.K., Citipitioglu, E., Akkas, N., “Three dimensional finite element analysis of shear wall buildings”, Computers and Structures, V.68, No.1-3, 1998, pp 41-55. Zienkiewicz, O.C., “The Finite Element Method in Engineering”, McGraw-Hill, New York, 1971. Timoshenko, S., and Goodier, J.N., “Theory of Elasticity”, McGraw-Hill, New York, 1951. Timoshenko, S. P., and S. Woinowsky-Krieger, “Theory of Plates and Shells”, 2d ed., McGraw-Hill Book Company, New York, 1959. Timoshenko, S. P., “Strength of Materials”, 3d ed., vol2, D. Van Nostrand Company, Inc., Princeton, N.J., 1956. Timoshenko, S. P., and J. M. Gere, “Theory of Elastic Stability”, 2d ed., McGraw-Hill Book Company, New York, 1961.
Recommended Reading Theory of Elasticity, Plates, Mathematics, Strength of materials, Using Finite Element Computer Programs SAP2000, Astec/Strudl, Ansys, Lusas, Nastran etc., Developing computer programs. Theory of shells. |
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Coordinator / s |
Prof. Dr. Namýk Kemal ÖZTORUN |
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Contact Information |
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Office Hours |
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Course Evaluation Criteria |
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Quantity |
Percentage (%) |
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Final Exam ( Make-up Exam ) |
1 |
% 50 |
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Midterm Activities |
Midterm Exam |
1 |
% 20 |
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Quiz |
- |
- |
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Homework |
- |
- |
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Project |
1 |
% 20 |
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Term Paper |
- |
- |
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Other |
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% 10 |
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Attendance obligation |
% …… |
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Division of Course Credit(%) |
Mathematics and Basic Science |
%60 |
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Engineering Science |
%20 |
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Engineering Design |
%20 |
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Social Sciences |
% …… |
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CONTRIBUTION OF THE COURSE TO PROGRAM OUTCOMES
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PROGRAM OUTCOMES |
Yes |
No |
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1 |
An ability to apply knowledge of mathematics, science and engineering to the field of civil engineering |
x |
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2 |
An ability to design experiments, as well as to analyze and interpret outcomes |
x |
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3 |
An ability to design a process |
x |
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4 |
An ability to examine and develop a system |
x |
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5 |
An abillity to function multi-disciplinary projects |
x |
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6 |
An ability to identify engineering problems |
x |
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7 |
An understanding of ethical responsibility |
x |
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8 |
An ability to communicate effectively in Turkish |
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x |
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9 |
An ability to have a broad education necessary to understand the impact of engineering solutions |
x |
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10 |
An ability to engage in life-long learning |
x |
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11 |
An ability to learn individually |
x |
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12 |
An ability to have a knowledge of contemporary issues |
x |
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13 |
An ability to use the techniques and modern engineering tools |
x |
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14 |
An ability to adapt to changing conditions |
x |
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WEEKLY LECTURE PLAN |
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Week |
Topics |
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1 |
Introduction to Finite Elements |
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2 |
Derivation of stiffness matrices and load vectors. Displacement function. Strain-displacement relation. Stress-strain relation. Equilibrium equations. Shape function. Coordinate transformation |
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3 |
Isoparametric Finite Elements |
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4 |
Variational formulation of the Finite Element Method |
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5 |
Convergence of finite elements. Natural coordinates. Derivation of the Euler Lagrange Equation |
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6 |
Examples for finite elements. 2d and 3d truss, beam, plane-stress / plane-strain elements |
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7 |
Midterm Exam |
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8 |
Midterm Exam |
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9 |
Numeric integration methods, Gauss numeric integration |
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10 |
Plate-bending, Shell and Boundary spring elements |
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11 |
Introduction to FEM software |
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12 |
Rotationally symmetric solid element, Axisymmetric Thin Shell Elements |
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13 |
Rayleigh-Ritz Method |
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14 |
Computer implementation. |