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Course Information

Course Name
Turkish Çubuk Sonlu Elemanlar
English One Dimensional Finite Element
Course Code
INS 459 Credit Lecture
Semester 7
3 3 - -
Course Language Turkish
Course Coordinator Nihal Eratlı
Course Objectives It is aimed to solve bars numerically, using computers, by means of the finite element method and to clarify the algorithmic logic behind these programs. Formulation of a beam element is the basic step to begin and to understand the finite element method for the future analysis using various finite elements
Course Description Bernoulli-Euler and Timoshenko theory for bars and beams, Principle of virtual work, Equation of motion, Shape functions, Strain energy, Total potential energy for Bernoulli-Euler and Timoshenko bars and beams, Stiffness, Spring elements, Displacement type finite elements, Mixed finite elements, Straight Bernoulli-Euler bars, Consistent mass matrices, Load vectors, Assembly of elements, Transformation matrices, Boundary conditions, Constraint forces, Free vibration.
Course Outcomes Students completing this course will be able to :
1. Bernoulli-Euler and Timoshenko beam theories
2. Principle of virtual work, strain energy, total potential energy
3. Shape functions, finite element formulations
4. Matrix algebra, rigidity, assemblage of the elements, transformation of elements
5. Statik analysis (axial element, torsional element, bending element, frame element)
6. Dynamic analysis
7. Applications on static, free vibration and stability problems
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