Finite Element Methods

FEM Mid-1 & Quiz-1 Marks

FEM Mid-2 & Quiz-2 Marks

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FEM Previous Exam Question Papers 👈

FEM Question Bank (Unit-1 to Unit-3) 👈

FEM Question Bank (Unit-4 to Unit-6) 👈

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• Introduction to Finite Element Method

• Stress-Strain Relationships

• Strain Displacement Relations

• Derive the Stress-Strain relations for a Three-Dimensional Element. Derive the Constitutive Relation for the Plane Stress Conditions & Plane Strain Conditions

• Plane Stress, Plane Strain & Problems

• Expression for Natural Coordinate for 2 Noded Element - Derivation, Shape Function Properties

• Stiffness Matrix for 1-D Bar Element - Derivation

• Shape Function for 1-D Element using Generalized Coordinate & Natural Coordinates

• Brief Explanation of Elimination & Penalty Approach 

• 1-D Bar Element Problem model-1 (using Elimination Approach/Method)

• 1-D Bar Element Problem model-2 (using Elimination & Penalty Approach/Method)

• 1-D Tapered Bar Element Problem

• Problem on Rod Using Rayleigh-Ritz Method

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• Exact and Approximate Methods

     Weighted Residual Methods

• Problem on Galerkin Method

• Problem on Least Square Method

• Problem on Least Square Method - Model 2

• Problem on Collocation Method

• Problem on Sub Domain Method

      Variational Approach

• Problem on Rayleigh-Ritz Method

      Concept/Principle of Minimum Potential Energy

•  Problem

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• Convergence Requirements

• Node Numbering, Bandwidth, Mesh Generation & Mesh Elements

• Unit-1 & Unit-2 Theory Question & Answers Part-1

• Unit-1 & Unit-2 Theory Question & Answers Part-2

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      Trusses

• Element Stiffness Matrix for 2D Truss Element

• Types of Joints used in Trusses

• Truss Problem with Solution

• Obtain the Transformation Matrix from Local to Global Coordinate System fo a Truss Element

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• Constant Strain Triangles Formulae & Problems

• CST, LST, Q4, Q8 Elements

• Basic Principles of Isoparametric Elements

• Isoparametric Formulation of 2 Noded Bar Element

• Shape Functions for 4 Noded Quadrilateral Element

• Derive the sampling points and weight functions for a two-point Gauss quadrature.

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• Eigen Vectors, Natural Frequencies, and Mode Shapes

• Unit-6 Some Problems & Solutions