Finite Element Method Questions and Answers

Finite Element Method Interview Questions and Answers

Our 1000+ Finite Element Method questions and answers focuses on all areas of Finite Element Method subject covering 100+ topics in Finite Element Method. These topics are chosen from a collection of most authoritative and best reference books on Finite Element Method. One should spend 1 hour daily for 2-3 months to learn and assimilate Finite Element Method comprehensively. This way of systematic learning will prepare anyone easily towards Finite Element Method interviews, online tests, examinations and certifications.


– 1000+ Multiple Choice Questions & Answers in Finite Element Method with explanations
– Every MCQ set focuses on a specific topic in Finite Element Method Subject

Who should Practice these Finite Element Method Questions?
– Anyone wishing to sharpen their knowledge of Finite Element Method Subject
– Anyone preparing for aptitude test in Finite Element Method
– Anyone preparing for interviews (campus/off-campus interviews, walk-in interview and company interviews)
– Anyone preparing for entrance examinations and other competitive examinations
– All – Experienced, Freshers and Students


Here’s list of Questions & Answers on Finite Element Method Subject covering 100+ topics:

1. Questions & Answers on Matrix Algebra and Gaussian Elimination

The section contains questions and answers on matrix algebra, gaussian elimination and conjugate gradient method.

Matrix Algebra
Gaussian Elimination
Conjugate Gradient Method for Equation Solving

2. Questions on One Dimensional Problems

The section contains questions on one dimensional problems finite element modelling, co-ordinates and shape functions, potential energy and galerkin approaches, global stiffness matrix and load vector, k properties, boundary conditions treatment, quadratic shape function and temperature effects.

One Dimensional – Finite Element Modelling
Co-ordinates and Shape Functions
The Potential Energy Approach
The Galerkin Approach
Assembly of the Global Stiffness Matrix and Load Vector
Properties of K
Finite Element Equations – Treatment of Boundary Conditions
Quadratic Shape Function
Temperature Effects

3. Questions & Answers on Trusses

The section contains questions and answers on plane and three dimensional trusses, global stiffness matrix for the banded and skyline solutions.

Plane Trusses
Three Dimensional Trusses
Assembly of Global Stiffness Matrix for the Banded & Skyline Solutions

4. Questions on Two Dimensional Problems using Constant Strain Triangles

The section contains questions on finite element modelling, constant strain triangle, orthotropic materials, two dimensional problems modelling and boundary conditions.

Two Dimensional – Finite Element Modelling
Constant Strain Triangle
Two Dimensional Problems Modelling and Boundary Conditions
Orthotropic Materials

5. Questions & Answers on Axis Symmetric Solids Subjected to Axis Symmetric Loading

The section contains questions and answers on axis symmetric formulation, triangular element, problem modelling and boundary conditions.

Axis Symmetric Formulation
Finite Element Modelling – Triangular Element
Problem Modelling and Boundary Conditions

6. Questions on Two Dimensional Isoparametric Elements and Numerical Integration

The section contains questions on four node quadrilateral, numerical integration, axis symmetric problems and conjugate gradient implementation of quadrilateral element.

The Four Node Quadrilateral
Numerical Integration
Four Node Quadrilateral for Axis Symmetric Problems
Conjugate Gradient Implementation of Quadrilateral Element

7. Questions & Answers on Beams and Frames

The section contains questions and answers on finite element formulation, load vector, boundary conditions, shear force, bending moment, elastic support beams, beams with axial loading and combine loads, timoshenko beam element, plane and three dimensional frames.

Finite Element Formulation
Load Vector
Boundary Conditions
Shear Force & Bending Moment
Beams on Elastic Support
Beams with Axial Loading
Beams with Uniformly Distributed Load
Beams with Combine Loads
Plane Frames
Three Dimensional Frames
Timoshenko Beam Element

8. Questions on Three Dimensional Problems in Stress Analysis

The section contains questions on finite element formulation and methods, stress calculations, mesh preparation, hexa hedral and higher order elements.

Finite Element Formulation
Stress Calculations
Mesh Preparation
Hexa Hedral Elements and Higher Order Elements
Problem Modelling
Frontal Method for Finite Element Method

9. Questions & Answers on Scalar Field Problems

The section contains questions and answers on steady state heat transfer, torison, potential flow, seepage, electric fields and fluid flow ducts.

Steady State Heat Transfer
Potential Flow, Seepage, Electric & Magnetic Fields and Fluid Flow Ducts

10. Questions on Dynamic Considerations

The section contains questions on dynamic considerations formulation, element mass matrices, eigen values and vectors evaluation, shafts critical speeds program, guyan reduction and rigid body modes.

Dynamic Considerations Formulation
Element Mass Matrices
Evaluation of Eigen Values & Eigen Vectors
Program for Determining Critical Speeds of Shafts
Guyan Reduction
Rigid Body Modes

11. Questions & Answers on Pre Processing, Post Processing, Integral Formulations and Variational Methods

The section contains questions and answers on mesh generation, post processing, weighted integral forms, boundary value problems, approximation variational methods, mathematical concepts and formulae.

Mesh Generation
Post Processing
Need for Weighted Integral Forms
Mathematical Concepts and Formulae
Weak Formulation of Boundary Value Problems
Variational Methods of Approximation

12. Questions on Second Order Boundary Value Problems

The section contains questions on finite element analysis basic steps and second order boundary value applications.

Basic Steps of Finite Element Analysis Second Order Boundary Value Applications

13. Questions & Answers on Bending of Beams

The section contains questions and answers on euler-bernoulli beam and frame elements, plane truss, constraint equations inclusion, timoshenko beam and frame elements.

The Euler-Bernoulli Beam Element
Plane Truss and Euler-Bernoulli Frame Elements
The Timoshenko Beam and Frame Elements
Inclusion of Constraint Equations

14. Questions on Finite Element Error Analysis

The sections covers questions on approximation errors, errors measurements, convergence and accuracy of the solution.

Approximation Errors
Various Measures of Errors
Convergence of Solution
Accuracy of the Solution

15. Questions & Answers on Eigen Value, Time Dependent Problems, Numerical Integration and Computer Implementation

The section contains questions and answers on eigen value and time dependent problems, isoparametric formulation, numerical integration, computer implementation and program fem1dv2 applications.

Eigen Value Problems
Time Dependent Problems
Isoparametric Formulation and Numerical Integration
Computer Implementation
Applications of Computer Program FEM1DV2

16. Questions on Single Variable Problems

The section contains questions on boundary value problems, mesh generation and imposition of boundary conditions, single variable problems applications, eigen value and time dependent problems.

Boundary Value Problems-1
Boundary Value Problems-2
Comments on Mesh Generation and Imposition of Boundary Conditions
Single Variable Problems Applications-1
Single Variable Problems Applications-2
Eigen Value and Time Dependent Problems-1
Eigen Value and Time Dependent Problems-2

17. Questions & Answers on Interpolation Functions, Numerical Integration and Modelling Considerations

The section contains questions and answers on modelling considerations, elements library and interpolation functions.

Library of Elements and Interpolation Functions – 1
Library of Elements and Interpolation Functions – 2
Modelling Considerations

18. Questions on Plane Elasticity

The section contains questions on plane elasticity governing equations and weak formulations, finite element model, integrals evaluation, assembly, boundary and initial conditions.

Plane Elasticity Governing Equations
Weak Formulations
Finite Element Model
Evaluation of Integrals
Assembly, Boundary and Initial Conditions

19. Questions & Answers on Flows of Viscous Incompressible Fluids

The section contains questions and answers on governing equations, preliminary comments, velocity pressure and penalty finite element models.

Governing Equations
Velocity – Pressure Finite Element Model
Penalty – Finite Element Model – 1
Penalty – Finite Element Model – 2
Preliminary Comments

20. Questions on Bending of Elastic Plates

The section contains questions on classical and shear deformable plate models, eigen values and time dependent problems.

Classical Plate Model
Shear Deformable Plate Model
Eigen Values and Time Dependent Problems

21. Questions & Answers on Computer Implementation and Weighted Residual for Three Dimensional Models

The section contains questions and answers on preprocessor, processor, computer program fem2dv2 applications, alternative formulations, non linear and three dimensional problems.

Element Computation : Processor
Applications of Computer Program FEM2DV2
Alternative Formulations
Non Linear Problems
Three Dimensional Problems

22. Questions on Interpolation Functions for General Element Formulation

The section contains questions on compatibility and completeness requirements, polynomial forms, triangular and rectangular elements, isoparametric formulation, three dimensional and axis symmetric elements.

Compatibility and Completeness Requirements
Polynomial Forms
Triangular Elements
Rectangular Elements
Three Dimensional Elements
Isoparametric Formulation
Axis Symmetric Elements

23. Questions & Answers on Heat Transfer

The section contains questions and answers on one dimensional conduction, two dimensional heat transfer formulation, fins heat transfer, three dimensional heat transfer, axis symmetric and time dependent heat transfer.

One Dimensional Conduction
One Dimensional Conduction with Convection
Two Dimensional Heat Transfer Formulation
Two Dimensional Heat transfer Formulation with Heat Generation
Heat Transfer in Fins
Three Dimensional Heat Transfer
Axis Symmetric Heat Transfer
Time Dependent Heat Transfer

24. Questions on Analysis of Shells & Bending of Thin Plates

The section contains questions on shell forces formulation, shell finite analysis, thin plates formulation, mindlin’s plate element, rectangular plate element with 12 and 16 dof.

Formulation of Forces on Shell
Finite Analysis on Shell
Formulation of Thin Plates
Rectangular Plate Element with 12 and 16 DOF
Mindlin’s Plate Element

25. Questions & Answers on Applications in Solid Mechanics

The section contains questions and answers on plane stress, plane strain, plane quadrilateral element, solids three dimensional stress analysis and torsion analysis, stress and strain computation.

Plane Stress
Plane Strain
Plane Quadrilateral Element
Three Dimensional Stress Analysis in Solids
Stress and Strain Computation
Torsion Analysis in Solids

26. Questions on Computer Program, Standard Packages and Features

The section contains questions on commercial packages, finite element analysis programs, fea packages desirable and undesirable features.

Commercial Packages
Desirable and Undesirable Features of FEA Packages
Programs of Finite Element Analysis
If you would like to learn Finite Element Method thoroughly, you should attempt to work on the complete set of questions and answers mentioned above. It will immensely help anyone trying to crack an exam or an interview.

Here’s the list of Best Reference Books in Finite Element Method.

Wish you the best in your endeavor to learn and master Finite Element Method!

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