Finite Elements Method
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Follow on Instagram for UpdatesFinite Elements Method Syllabus — Unit-wise Content
The official GTU curriculum for Finite Elements Method (subject code 2181911) as prescribed for Mechanical Engineering · Semester 8 divides the course into 3 units, covering 34 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (2181911)Unit 1 Fundamentals of Continuum Mechanics
- Equilibrium of continuum-Differential formulation
- Energy Approach- Integral formulation
- Overview of approximate methods for the solution of the mathematical models: Rayleigh-Ritz methods
- Methods of Weighted Residuals (Galerkin
- Least-squares & Collocation methods)
Unit 2 Numerical Integration
- Central Difference Method
- Newmark’s Methods
- Wilson’s method
- Gauss quadrature
Unit 3 Line Elements and Applications
- Concepts of Modelling and discretization
- Shape functions
- elements and Degrees-of-Freedom
- Strain – displacement relation
- Local and Global equations
- Iso-Sub-Super parametric formulation. 4 5% Structural Problems: Linear and Quadratic elements
- Elimination and Penalty Approach
- Properties of global stiffness matrix
- Structural and Thermal strains
- Treatment for various boundary conditions
- Formulation of Truss element
- Plane truss: Stiffness and Force matrix
- Beam: Euler – Bernoulli Element formulation
- plane frames
- various loading and boundary conditions. 10 25% Thermal and Fluid Problems: Steady state heat transfer: Element formulations
- treatment to boundary conditions with application to 1-D heat conduction
- heat transfer through thin fins
- Potential flow problems. 5 15% 4 2D Elements: Triangular (CST
- LST): Shape function
- Jacobian matrix
- strain- displacement matrix
- stress-strain relationship matrix
- force vector
- Quadrilateral Elements (Q4
- Q8): Shape function
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