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Finite Element Method MCQ

Reduced integration elements do not permit internal stress gradients because of their single integration point and suffer from their own numerical problem known as

Minglassing

Bending deformation

Hourglassing

Shear locking

Answer

Correct Answer: Hourglassing

Note: This Question is unanswered, help us to find answer for this one

In numerical mathematics, the constant strain triangle element, also known as the ?

CST element

T3 element

T10 element

Both A and B

Answer

Correct Answer: Both A and B

Note: This Question is unanswered, help us to find answer for this one

Gauss points are also the points used for numerical evaluation of _____

Surface

E^k

Elements

Planes

Answer

Correct Answer: E^k

Note: This Question is unanswered, help us to find answer for this one

For degenerate four noded quadrilateral element the errors are _____

Constant

Uniform

Higher

Lesser

Answer

Correct Answer: Higher

Note: This Question is unanswered, help us to find answer for this one

For quadrilaterals with 2X2 integration gives _____ sets of stress values.

Answer

Correct Answer: 4

Note: This Question is unanswered, help us to find answer for this one

The stresses in the quadratic element are not ______

Linear

Uniform

Constant

Undefined

Answer

Correct Answer: Constant

Note: This Question is unanswered, help us to find answer for this one

Bayesian Quadrature is a statistical approach to the numerical problem of computing integrals and falls under the field of probabilistic numerics.

TRUE

FALSE

Can be true or false

Can not say

Answer

Correct Answer: TRUE

Note: This Question is unanswered, help us to find answer for this one

The interpolating function may be a straight line (an affine function, i.e. a polynomial of degree 1) passing through the points. This is called the trapezoidal rule.

TRUE

FALSE

Can be true or false

Can not say

Answer

Correct Answer: TRUE

Note: This Question is unanswered, help us to find answer for this one

______________ is a historical mathematical term that means calculating area

Alpha

Beta

Quadrature

Octature

Answer

Correct Answer: Quadrature

Note: This Question is unanswered, help us to find answer for this one

The term "numerical integration" first appears in ?

1910

1915

1920

1925

Answer

Correct Answer: 1915

Note: This Question is unanswered, help us to find answer for this one

Numerical integration comprises a broad family of algorithms for calculating the numerical value of a?

Definite integral

Indefinite integral

Simple integral

Compound integral

Answer

Correct Answer: Definite integral

Note: This Question is unanswered, help us to find answer for this one

Numerical integration methods can generally be described as combining evaluations of the integrand to get an approximation to the integral. The integrand is evaluated at a finite set of points called?

Quadrature point

Composite point

Midpoint

Integration point

Answer

Correct Answer: Integration point

Note: This Question is unanswered, help us to find answer for this one

The strain-stress relation for orthotropic linear elastic materials can be written in Voigt notation.

TRUE

FALSE

Can be true or false

Can not say

Answer

Correct Answer: TRUE

Note: This Question is unanswered, help us to find answer for this one

When an orthotropic plate is loaded parallel to its material axes, it results only _____

Shear strains

Normal strains

Parallel strains

Uniform strains

Answer

Correct Answer: Normal strains

Note: This Question is unanswered, help us to find answer for this one

E1 value of Balsa wood is ___

0.125*10^6psi

12.04*10^6psi

23.06*10^6psi

7.50*10^6psi

Answer

Correct Answer: 0.125*10^6psi

Note: This Question is unanswered, help us to find answer for this one

V12 indicates the poisson’s ratio that characterises the decrease in during tension applied in .

2- direction and 3- direction

1- direction and 2- direction

2- direction and 1- direction

2- direction and 4- direction

Answer

Correct Answer: 2- direction and 1- direction

Note: This Question is unanswered, help us to find answer for this one

The principal material axes that are normal to the _______

Co-ordinates

Number of nodes

Principal axes

Plane of symmetry

Answer

Correct Answer: Plane of symmetry

Note: This Question is unanswered, help us to find answer for this one

Unidirectional fibre- reinforced composites also exhibit _______ behaviour.

Isotropic

Orthotropic

Material

Unidirectional composite

Answer

Correct Answer: Orthotropic

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In linear elasticity, the relation between stress and strain depend on the type of material under consideration

TRUE

FALSE

Can be true or false

Can not say

Answer

Correct Answer: TRUE

Note: This Question is unanswered, help us to find answer for this one

How many orthogonal symmetry planes does orthotropic material have?

Answer

Correct Answer: 3

Note: This Question is unanswered, help us to find answer for this one

A familiar example of an orthotropic material is?

Steel

Paper

Water

Wood

Answer

Correct Answer: Wood

Note: This Question is unanswered, help us to find answer for this one

Which materials are special orthotropic materials that have one axis of symmetry?

Anisotropic materials

Orthotropic material

Transversely isotropic

Polycrystalline

Answer

Correct Answer: Transversely isotropic

Note: This Question is unanswered, help us to find answer for this one

Using elementary row operations, a matrix can always be transformed into an upper triangular matrix.

TRUE

FALSE

Can be true or false

Can not say

Answer

Correct Answer: TRUE

Note: This Question is unanswered, help us to find answer for this one

Frontal method is a _______ of Gaussian elimination method that uses the structure of finite element problem.

Structure

Variation

Algorithm

Data

Answer

Correct Answer: Variation

Note: This Question is unanswered, help us to find answer for this one

A banded matrix is defined as ____________

Zero elements are contained in a band

Non zero elements are contained out of a band

Both Non zero elements and Zero elements

Non zero elements are contained in band

Answer

Correct Answer: Non zero elements are contained in band

Note: This Question is unanswered, help us to find answer for this one

Step number in Gaussian elimination is denoted as ___________

Subscript

Superscript

Unknown

Elimination

Answer

Correct Answer: Superscript

Note: This Question is unanswered, help us to find answer for this one

Gaussian elimination is a name given to a well known method of solving simultaneous equations by successively eliminating _________.

Variables

Equations

Unknown

Algorithms

Answer

Correct Answer: Unknown

Note: This Question is unanswered, help us to find answer for this one

A matrix is said to be in reduced row echelon form if furthermore all of the leading coefficients are equal to 1

TRUE

FALSE

Can be true or false

Can not say

Answer

Correct Answer: TRUE

Note: This Question is unanswered, help us to find answer for this one

Using row operations to convert a matrix into reduced row echelon form is sometimes called?

Gauss–Jordan elimination

Jordan elimination

Gauss elimination

Matrix elimination

Answer

Correct Answer: Gauss–Jordan elimination

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How many types of elementary row operations?

Answer

Correct Answer: 3

Note: This Question is unanswered, help us to find answer for this one

Gaussian elimination method can also be used to find the ?

To calculate the determinant of a matrix

To calculate the inverse of an invertible square matrix

Rank of a matrix

All of the above

Answer

Correct Answer: All of the above

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Gaussian elimination, also known as?

Column reduction

Row reduction

Matrix reduction

All of the above

Answer

Correct Answer: Row reduction

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A (A^-1)=(A^-1)A is a condition for ________

Singular matrix

Nonsingular matrix

Matrix inversion

Adjoint of matrix

Answer

Correct Answer: Matrix inversion

Note: This Question is unanswered, help us to find answer for this one

Which of the following properties define a singular matrix?

The matrix is square

It does not have an inverse

It has a determinant of 0

All of the above

Answer

Correct Answer: All of the above

Note: This Question is unanswered, help us to find answer for this one

A positive definite symmetric matrix A can be decomposed into form A=LL^T this decomposition is called ________

Rayleighs

Galerkins

Potential energy

Cholesky

Answer

Correct Answer: Cholesky

Note: This Question is unanswered, help us to find answer for this one

A symmetric matrix is called ____________, if all its Eigenvalues are strictly positive i.e., greater than zero.

Negative definite

Co- definite

Positive definite

Alternative definite

Answer

Correct Answer: Positive definite

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A matrix with 4 rows and 2 columns can be subtracted to a matrix with 5 rows and 2 columns.

TRUE

FALSE

Can be true or false

Can not say

Answer

Correct Answer: FALSE

Note: This Question is unanswered, help us to find answer for this one

If you want to add two matrices, their dimensions must be exactly the same.

TRUE

FALSE

Can be true or false

Can not say

Answer

Correct Answer: TRUE

Note: This Question is unanswered, help us to find answer for this one

A diagonal matrix with zeros as elements except for the diagonal, which was once known as?

Identity matrix

Scalar matrix

Vector matrix

Transpose matrix

Answer

Correct Answer: Identity matrix

Note: This Question is unanswered, help us to find answer for this one

Dimensions are also called?

Elements

Row

Columns

Order

Answer

Correct Answer: Order

Note: This Question is unanswered, help us to find answer for this one

____________ is used in statistics to express collections of data.

Matrix design

Matrix algebra

Matrix drawing

Matrix tool

Answer

Correct Answer: Matrix algebra

Note: This Question is unanswered, help us to find answer for this one

A matrix is a rectangular array of numbers arranged into?

Rows

Columns

Both A and B

Values

Answer

Correct Answer: Both A and B

Note: This Question is unanswered, help us to find answer for this one

In any FEA software, a large amount of mathematical work is done in ________ phase.

Preprocessing

Solution

Post processing

All of the above

Answer

Correct Answer: Post processing

Note: This Question is unanswered, help us to find answer for this one

The equation for thermal stress in each element is ________.

σ = E (Bq + α Δt)

σ = E (Bq - α Δt)

σ = E (B + α Δt)

σ = E (B - α Δt)

Answer

Correct Answer: σ = E (Bq - α Δt)

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In the penalty approach, the magnitude of the stiffness constant should be at least _______ times more than the maximum value in the global stiffness matrix.

100

1000

10000

Answer

Correct Answer: 10000

Note: This Question is unanswered, help us to find answer for this one

As per the penalty approach, the equation of reaction force is _____.

R = -CQ

R = CQ

R = -C (Q-a)

R = -C (Q+a)

Answer

Correct Answer: R = -C (Q-a)

Note: This Question is unanswered, help us to find answer for this one

The strain energy per unit volume is equal to _________.

(1/2) * Force * Deflection

(1/4) * Force * Deflection

(1/2) * Stress * Deflection

(1/4) * Stress * Deflection

Answer

Correct Answer: (1/2) * Force * Deflection

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The total potential energy of an elastic body is defined as _______.

Strain energy - Work potential

Strain energy + Work potential

Strain energy + Kinetic energy - Work potential

Strain energy + Kinetic energy + Work potential

Answer

Correct Answer: Strain energy + Work potential

Note: This Question is unanswered, help us to find answer for this one

In truss analysis, the reactions can be found by using the equation ______.

R=KQ+F

R=KQ-F

R=K+QF

R=K-QF

Answer

Correct Answer: R=KQ-F

Note: This Question is unanswered, help us to find answer for this one

Elements with an aspect ratio of near to ______ generally yield best results in FEA.

0.5

Answer

Correct Answer: 1

Note: This Question is unanswered, help us to find answer for this one

In FEA, the use of smaller-sized elements will lead to _______ computation time

Less

Depends on other factors

Can't say

Answer

Correct Answer: More

Note: This Question is unanswered, help us to find answer for this one

If the size of the elements is small, the final solution is expected to be ______ accurate.

Less

Depends on other factors

Can't say

Answer

Correct Answer: More

Note: This Question is unanswered, help us to find answer for this one

How many nodes are there in a tetrahedron with curved sides?

Answer

Correct Answer: 10

Note: This Question is unanswered, help us to find answer for this one

How many nodes are there in a hexahedron element?

Answer

Correct Answer: 8

Note: This Question is unanswered, help us to find answer for this one

How many nodes are there in a tetrahedron element?

Answer

Correct Answer: 4

Note: This Question is unanswered, help us to find answer for this one

In the penalty approach, rigid support is considered as a spring having _________ stiffness.

Zero

Very small

Very large

Infinite

Answer

Correct Answer: Infinite

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Crack propagation problems come under _______ category.

Steady-state problems

Eigenvalue problems

Transient problems

Eigenvector problems

Answer

Correct Answer: Transient problems

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In the FEA of a fluid mechanics problem, we need to find _______.

Stress distribution

Heat flux distribution

Pressure distribution

Power distribution

Answer

Correct Answer: Pressure distribution

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For thermal analysis, the field variable is _________.

Stress

Strain

Displacement

Temperature

Answer

Correct Answer: Temperature

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Which of the following modules of FEA is used to determine natural frequency?

Static analysis

Thermal analysis

Modal analysis

Steady analysis

Answer

Correct Answer: Modal analysis

Note: This Question is unanswered, help us to find answer for this one

Which of the following is not an FEA package?

ANSYS

Nastran

Abaqus

AutoCAD

Answer

Correct Answer: AutoCAD

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The actual thickness of the plane strain element is ________.

Very large

Very small

Assumed by software

Zero

Answer

Correct Answer: Very large

Note: This Question is unanswered, help us to find answer for this one

Which of the following is true for the stiffness matrix (K)?

K is a banded matrix

K is unsymmetric

K is an un-banded matrix

K is tri-symmetric

Answer

Correct Answer: K is a banded matrix

Note: This Question is unanswered, help us to find answer for this one

If the body is in a state of equilibrium then the energy is minimum. This statement is considered in __________ .

Inverse matrix method

Weighted residual method

Galerkin‟s principle

The minimum potential energy principle

Answer

Correct Answer: The minimum potential energy principle

Note: This Question is unanswered, help us to find answer for this one

The applications of the finite element method in two-dimensional analyses are __________.

Stretching of plates

Gravity of dams

Axisymmetric shells

Gravity of plates

Answer

Correct Answer: Axisymmetric shells

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The points in the entire structure are defined using the coordinate system known as ___________.

Local coordinates system

Natural coordinates system

Global coordinate system

Screen coordinate system

Answer

Correct Answer: Global coordinate system

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When a thin plate is subjected to loading in its own plane only, the condition is called ________.

Plane stress

Plane strain

Zero stress

Zero strain

Answer

Correct Answer: Plane stress

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_________ are used to express the geometry or shape of the element.

Mode shapes

Shape functions

Natural curves

Artificial curves

Answer

Correct Answer: Shape functions

Note: This Question is unanswered, help us to find answer for this one

______________ is defined as the ratio of the largest dimension of the element to the smallest dimension.

Element depth ratio

Mode shape ratio

Aspect ratio

Mode change ratio

Answer

Correct Answer: Aspect ratio

Note: This Question is unanswered, help us to find answer for this one

Which of the following is not a method for calculation of the stiffness matrix?

The minimum potential energy principle

Galerkin's principle

Weighted residual method

Inverse matrix method

Answer

Correct Answer: Inverse matrix method

Note: This Question is unanswered, help us to find answer for this one

If the structure is more complex in order to simplify the model, we need to subdivide the structure into substructures. These substructures are termed as _____.

Elements

Modules

Links

Models

Answer

Correct Answer: Modules

Note: This Question is unanswered, help us to find answer for this one

The finite element methods can be applied in ____________areas.

Thermal

Soil and rock mechanics

Vibration

All of the mentioned

Answer

Correct Answer: All of the mentioned

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The minimum number of dimensions are required to define the position of a point in space is _______.

Answer

Correct Answer: 3

Note: This Question is unanswered, help us to find answer for this one

_______ is the phase/s of the finite element method.

Preprocessing

Solution

Post Processing

All of the mentioned

Answer

Correct Answer: All of the mentioned

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Axis-Symmetric element is______________Element

Answer

Correct Answer: 2D

Note: This Question is unanswered, help us to find answer for this one

From below, choose the correct condition for the axisymmetric element.

Symmetric about axis

Boundary conditions are symmetric about an axis

Loading conditions are symmetric about an axis

All of the mentioned

Answer

Correct Answer: All of the mentioned

Note: This Question is unanswered, help us to find answer for this one

How many nodes are there in a 3-D brick element?

Answer

Correct Answer: 8

Note: This Question is unanswered, help us to find answer for this one

The determinant of an element stiffness matrix is always

Answer

Correct Answer: 0

Note: This Question is unanswered, help us to find answer for this one

Example for one – Dimensional element is ___________ .

Triangular element

Brick element

Truss element

Axisymmetric element

Answer

Correct Answer: Truss element

Note: This Question is unanswered, help us to find answer for this one

The truss element can deform only in the

Axial direction

Vertical direction

Horizontal direction

Inclined direction

Answer

Correct Answer: Axial direction

Note: This Question is unanswered, help us to find answer for this one

The truss element can resist only

Axial force

Surface force

Point load

Radial force

Answer

Correct Answer: Axial force

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The nature of loading at various locations and other surfaces conditions called

Boundary condition

Traction

Friction

Surfacing

Answer

Correct Answer: Boundary condition

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To find the nodal displacements in all parts of the element, ______are used.

Shape function

Node function

Element function

Coordinate function

Answer

Correct Answer: Shape function

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For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of

Answer

Correct Answer: 33

Note: This Question is unanswered, help us to find answer for this one

Example of 2-D Element is ___________ .

Bar

Triangle

Hexahedron

Tetrahedron

Answer

Correct Answer: Triangle

Note: This Question is unanswered, help us to find answer for this one

Stiffness matrix depends on

Material

Geometry

Material and geometry

Neither material nor geometry

Answer

Correct Answer: Material and geometry

Note: This Question is unanswered, help us to find answer for this one

Finite element analysis deals with ___________ .

Approximate numerical solution

Non-boundary value problems

Partial differential equations

Laplace equations

Answer

Correct Answer: Approximate numerical solution

Note: This Question is unanswered, help us to find answer for this one

The numbers of node for 1 D element are

Answer

Correct Answer: 2

Note: This Question is unanswered, help us to find answer for this one

In FEA, the sub domains are called as ___________.

Particles

Molecules

Elements

Lines

Answer

Correct Answer: Elements

Note: This Question is unanswered, help us to find answer for this one

At fixed support, the displacements are equal to

Answer

Correct Answer: 0

Note: This Question is unanswered, help us to find answer for this one

The finite element method is mostly used in the field of

Structural mechanics

Classical mechanics

Applied mechanics

Engineering mechanics

Answer

Correct Answer: Engineering mechanics

Note: This Question is unanswered, help us to find answer for this one

On gathering stiffness and loads, the system of equations is given by

KQ=F

KQ≠F

K=QF

K≠QF

Answer

Correct Answer: KQ=F

Note: This Question is unanswered, help us to find answer for this one

Number of displacement polynomials used for an element depends on ___________ .

Nature of element

Type of an element

Degrees of freedom

Nodes

Answer

Correct Answer: Degrees of freedom

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A triangular plane stress element has how many degrees of freedom?

Answer

Correct Answer: 6

Note: This Question is unanswered, help us to find answer for this one

The sum of the shape function is equal to

0.5

Answer

Correct Answer: 1

Note: This Question is unanswered, help us to find answer for this one

The art of subdividing the structure into a convenient number of smaller elements is known as ___________.

Assemblage

Continuum

Traction

Discretization

Answer

Correct Answer: Discretization

Note: This Question is unanswered, help us to find answer for this one

To solve the FEM problem, it subdivides a large problem into smaller, simpler parts that are called

Finite elements

Infinite elements

Dynamic elements

Static elements

Answer

Correct Answer: Finite elements

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For truss analysis, which type of elements are used?

Triangle

Bar

Rectangle

Parallelogram

Answer

Correct Answer: Bar

Note: This Question is unanswered, help us to find answer for this one

From the following, which type of element is not three dimensional?

Hexahedron

Quadrilateral

Rectangular prism

Tetrahedron

Answer

Correct Answer: Quadrilateral

Note: This Question is unanswered, help us to find answer for this one

From the following, which type of element is not two dimensional?

Rectangle

Quadrilateral

Parallelogram

Tetrahedron

Answer

Correct Answer: Tetrahedron

Note: This Question is unanswered, help us to find answer for this one

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Finite Element Method MCQ

Reduced integration elements do not permit internal stress gradients because of their single integration point and suffer from their own numerical problem known as

In numerical mathematics, the constant strain triangle element, also known as the ?

Gauss points are also the points used for numerical evaluation of _____

For degenerate four noded quadrilateral element the errors are _____

For quadrilaterals with 2X2 integration gives _____ sets of stress values.

The stresses in the quadratic element are not ______

Bayesian Quadrature is a statistical approach to the numerical problem of computing integrals and falls under the field of probabilistic numerics.

The interpolating function may be a straight line (an affine function, i.e. a polynomial of degree 1) passing through the points. This is called the trapezoidal rule.

______________ is a historical mathematical term that means calculating area

The term "numerical integration" first appears in ?

Numerical integration comprises a broad family of algorithms for calculating the numerical value of a?

Numerical integration methods can generally be described as combining evaluations of the integrand to get an approximation to the integral. The integrand is evaluated at a finite set of points called?

The strain-stress relation for orthotropic linear elastic materials can be written in Voigt notation.

When an orthotropic plate is loaded parallel to its material axes, it results only _____

E1 value of Balsa wood is ___

V12 indicates the poisson’s ratio that characterises the decrease in ______ during tension applied in ______.

The principal material axes that are normal to the _______

Unidirectional fibre- reinforced composites also exhibit _______ behaviour.

In linear elasticity, the relation between stress and strain depend on the type of material under consideration

How many orthogonal symmetry planes does orthotropic material have?

A familiar example of an orthotropic material is?

Which materials are special orthotropic materials that have one axis of symmetry?

Using elementary row operations, a matrix can always be transformed into an upper triangular matrix.

Frontal method is a _______ of Gaussian elimination method that uses the structure of finite element problem.

A banded matrix is defined as ____________

Step number in Gaussian elimination is denoted as ___________

Gaussian elimination is a name given to a well known method of solving simultaneous equations by successively eliminating _________.

A matrix is said to be in reduced row echelon form if furthermore all of the leading coefficients are equal to 1

Using row operations to convert a matrix into reduced row echelon form is sometimes called?

How many types of elementary row operations?

Gaussian elimination method can also be used to find the ?

Gaussian elimination, also known as?

A (A^-1)=(A^-1)A is a condition for ________

Which of the following properties define a singular matrix?

A positive definite symmetric matrix A can be decomposed into form A=LL^T this decomposition is called ________

A symmetric matrix is called ____________, if all its Eigenvalues are strictly positive i.e., greater than zero.

A matrix with 4 rows and 2 columns can be subtracted to a matrix with 5 rows and 2 columns.

If you want to add two matrices, their dimensions must be exactly the same.

A diagonal matrix with zeros as elements except for the diagonal, which was once known as?

Dimensions are also called?

____________ is used in statistics to express collections of data.

A matrix is a rectangular array of numbers arranged into?

In any FEA software, a large amount of mathematical work is done in ________ phase.

The equation for thermal stress in each element is ________.

In the penalty approach, the magnitude of the stiffness constant should be at least _______ times more than the maximum value in the global stiffness matrix.

As per the penalty approach, the equation of reaction force is _____.

The strain energy per unit volume is equal to _________.

The total potential energy of an elastic body is defined as _______.

In truss analysis, the reactions can be found by using the equation ______.

Elements with an aspect ratio of near to ______ generally yield best results in FEA.

In FEA, the use of smaller-sized elements will lead to _______ computation time

If the size of the elements is small, the final solution is expected to be ______ accurate.

How many nodes are there in a tetrahedron with curved sides?

How many nodes are there in a hexahedron element?

How many nodes are there in a tetrahedron element?

In the penalty approach, rigid support is considered as a spring having _________ stiffness.

Crack propagation problems come under _______ category.

In the FEA of a fluid mechanics problem, we need to find _______.

For thermal analysis, the field variable is _________.

Which of the following modules of FEA is used to determine natural frequency?

Which of the following is not an FEA package?

The actual thickness of the plane strain element is ________.

Which of the following is true for the stiffness matrix (K)?

If the body is in a state of equilibrium then the energy is minimum. This statement is considered in __________ .

The applications of the finite element method in two-dimensional analyses are __________.

The points in the entire structure are defined using the coordinate system known as ___________.

When a thin plate is subjected to loading in its own plane only, the condition is called ________.

_________ are used to express the geometry or shape of the element.

______________ is defined as the ratio of the largest dimension of the element to the smallest dimension.

Which of the following is not a method for calculation of the stiffness matrix?

If the structure is more complex in order to simplify the model, we need to subdivide the structure into substructures. These substructures are termed as _____.

The finite element methods can be applied in ____________areas.

The minimum number of dimensions are required to define the position of a point in space is _______.

_______ is the phase/s of the finite element method.

Axis-Symmetric element is______________Element

From below, choose the correct condition for the axisymmetric element.

How many nodes are there in a 3-D brick element?

The determinant of an element stiffness matrix is always

Example for one – Dimensional element is ___________ .

V12 indicates the poisson’s ratio that characterises the decrease in during tension applied in .