6303029 FINITE ELEMENT METHODS IN

ENGINEERING ANALYSIS

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**Instructor**:
Assoc. Prof. Dr. Ozgen Umit Colak,

**e-mail**: ozgen@yildiz.edu.tr
or colako@alum.rpi.edu

**Phone**: 0-212-259-70-70/2617,

**Office hours**: Monday, 2-3 pm.

**Reference Books:**

- “Introduction
to the Finite Element Methods” by N. Ottosen and H. Peterson
- “Finite
Element Procedures in Engineering Analysis” by Klaus-Jurgen Bathe
- “Finite
Element Method in Mechanical Design” by Charles E. Knight
- “Introduction
to Finite Elements in Engineering” by T. Chandrupatla and A.
Belegundu

**Outline:**

- Introduction. Matrix algebra
- Direct
approach, truss analysis (One dimensional spring systems)
- Strong
and weak formulations
- Choice
of approximating functions for the finite element analysis
- Choice
of weight function- weighted residual methods
- Formulation
of finite element method- Linear analysis in solid and structural
mechanics
- Determination
of element stiffness matrices and load matrices.
- Structural
analysis of one-dimensional elastic bar using finite element method.
- Finite
element formulation of two dimensional elastic plate
- Using
commercial FEM package, Ansys.

### Grading:

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### 20% Homework

### 40% Exams

### 40% Final

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### Statement
of Academic Integrity:
In this course, students are encouraged to discuss among themselves the
approach to solve homework problems, but the details of the solutions should be
done individually and copying of solutions is not permitted.

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