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Finite Element Method MCQ

1. The field variables are the

Independent variable.

Neither dependent or independent variable.

Dependent variables.

None of these.

Answer

Correct Answer: None of these.

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2. For a state of stable equilibrium, the potential energy should be

Maximum.

Minimum.

Zero.

Cannot be specified.

Answer

Correct Answer: Maximum.

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3. FEA is a/ an

Analytical technique.

Computational technique.

Differential technique.

None of these.

Answer

Correct Answer: Computational technique.

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4. To describe material non-linearity, __ should be non-linear.

Constitutive relationship.

Strain-displacement relationship.

Shape function.

Element type.

Answer

Correct Answer: Constitutive relationship.

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5. Size of the stiffness matrix _____ if the number of force components increases.

Increase.

Decrease.

Remain unchanged.

Proportionally increases.

Answer

Correct Answer: Proportionally increases.

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6. The symmetry of stiffness matrix proves

Castigliano’s theorem.

Maxwell reciprocal theorem.

Betti’s law.

Hardy cross theorem.

Answer

Correct Answer: Betti’s law.

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7. The local x-axis of a member is always parallel to the ____ of the member.

Longitudinal axis.

Vertical axis.

Transverse axis.

Horizontal axis.

Answer

Correct Answer: Longitudinal axis.

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8. Stiffness matrix is a

Symmetric matrix.

Skew symmetric matrix.

Adjoining matrix.

Augmented matrix.

Answer

Correct Answer: Symmetric matrix.

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9. 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

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10. 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

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

Answer

Correct Answer: 10

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12. How many nodes are there in a hexahedron element?

Answer

Correct Answer: 8

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13. How many nodes are there in a tetrahedron element?

Answer

Correct Answer: 4

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14. 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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15. Crack propagation problems come under this category.

Steady-state problems

Eigenvalue problems

Transient problems

Any of the above

Answer

Correct Answer: Transient problems

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

Stress distribution

Heat flux distribution

Pressure distribution

All of the abov

Answer

Correct Answer: Pressure distribution

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17. For thermal analysis, the field variable is

Stress

Strain

Displacement

Temperature

Answer

Correct Answer: Temperature

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

Static analysis

Thermal analysis

Modal analysis

All of the above

Answer

Correct Answer: Modal analysis

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19. Which of the following is not an FEA package?

ANSYS

Nastran

Abaqus

AutoCAD

Answer

Correct Answer: AutoCAD

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20. The actual thickness of the plane strain element is .

Very large

Very small

Assumed by software

Any of the above

Answer

Correct Answer: Very large

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21. 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

None of the above

Answer

Correct Answer: K is a banded matrix

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22. 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

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23. The applications of the Finite Element Method in two-dimensional analyses are .

Stretching of plates

Gravity of dams

Axisymmetric shells

All of the above

Answer

Correct Answer: Axisymmetric shells

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24. The points in the entire structure are defined using the coordinates system is known as

Local coordinates system

Natural coordinates system

Global coordinate system

None of the above

Answer

Correct Answer: Global coordinate system

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25. The characteristic of the shape function is

The shape function has a unit value at one nodal point and zero value at the other nodes

The sum of the shape function is equal to one

Both a & b

None of the above

Answer

Correct Answer: Both a & b

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26. 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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27. Are used to express the geometry or shape of the element

Mode shapes

Shape functions

Natural curves

None of the above

Answer

Correct Answer: Shape functions

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28. Is defined as the ratio of the largest dimension of the element to the smallest dimension.

Element depth ratio

Mode shape ratio

Aspect ratio

None of the above

Answer

Correct Answer: Aspect ratio

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29. 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

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30. 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

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31. The finite element methods can be applied in ---------areas.

Thermal

Soil and rock mechanics

Vibration

All of the above

Answer

Correct Answer: All of the above

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

Answer

Correct Answer: 3

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33. Is/are the phase/s of finite element method

Pre-processing

Solution

Post Processing

None

Answer

Correct Answer: Post Processing

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34. Axis-Symmetric element is Element

Answer

Correct Answer: 2D

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

Symmetric about axis

Boundary conditions are symmetric about an axis

Loading conditions are symmetric about an axis

All the above

Answer

Correct Answer: All the above

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

Answer

Correct Answer: 8

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

2*2

3*3

4*4

6*6

Answer

Correct Answer: 3*3

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39. Example of 2-D Element is .

Bar

Triangle

Hexahedron

Tetrahedron

Answer

Correct Answer: Triangle

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40. The numbers of node for 1 D element are

Answer

Correct Answer: 2

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41. In FEA, the sub domains are called as .

Particles

Molecules

Elements

None

Answer

Correct Answer: Elements

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42. The finite element method is mostly used in the field of

Structural mechanics

Classical mechanics

Applied mechanics

Engineering mechanics

Answer

Correct Answer: Engineering mechanics

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43. 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

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

Answer

Correct Answer: 6

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46. The sum of the shape function is equal to

0.5

Answer

Correct Answer: 1

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

Discretization

Assemblage

Continuum

Traction

Answer

Correct Answer: Discretization

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

Static elements

Dynamic elements

Infinite elements

Finite elements

Answer

Correct Answer: Finite elements

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49. For truss analysis, which type of elements is used?

Triangle

Parallelogram

Rectangle

Bar

Answer

Correct Answer: Bar

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

Tetrahedron

Quadrilateral

Parallelogram

Rectangle

Answer

Correct Answer: Tetrahedron

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51. What is the full form of FEA

Fracture Element Analysis

Finite Element Analysis

Future Electronic Analysis

None of the above

Answer

Correct Answer: Finite Element Analysis

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52. The truss element can deform only in the

Axial direction

Vertical direction

Horizontal directional

Inclined direction

Answer

Correct Answer: Axial direction

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53. The truss element can resist only

Axial force

Surface force

Point load

None

Answer

Correct Answer: Axial force

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54. Based on which parameter an polynomial function can be chosen______________

Nodes

Nodal points

Nodal displacements

Elements

Answer

Correct Answer: Nodal displacements

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55. The steady state problems are those which are independent of _______ .

Time

Temperature

Pressure

All of the above

Answer

Correct Answer: Time

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56. In FEA, to evaluate the strain displacement matrix we use________ method.

Crammer

Henry

Jacobian

None

Answer

Correct Answer: Jacobian

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57. If the geometry and field displacement variables of the elements are described by the same shape functions, then these elements are called___________.

Iso Parametric

Axi Symmetric

Super parametric

Sub Parametric

Answer

Correct Answer: Iso Parametric

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58. To convert Cartesian coordinates into local coordinates we use_______ matrix method.

Crammer

Henry

Jacobian

None

Answer

Correct Answer: Jacobian

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59. The two dimensional elements are called ________elements.

Para symmetric

Dia symmetric

Axi symmetric

All

Answer

Correct Answer: Axi symmetric

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60. In the local coordinate system ________case letters are preferred.

Upper

Lower

Both a & b

None

Answer

Correct Answer: Lower

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61. In the local coordinate system the nodes of the structure are specified by the _______.

Origin

End points

Any point on the element

None

Answer

Correct Answer: Origin

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62. In CST element ________ is constant.

Stress

Strain

Shape function

All

Answer

Correct Answer: Strain

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63. First derivatives of the three node elements are called as,

CST

LST

VST

None

Answer

Correct Answer: CST

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64. ________ elements are preferred to four node rectangular elements.

Triangular

Square

Orthogonal

None

Answer

Correct Answer: Triangular

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65. LST element has ________nodes.

Answer

Correct Answer: 6

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66. The number of shape functions will be equal to the number of

Nodes of element

Elements of the structure

Size of the structure

Coordinates

Answer

Correct Answer: Nodes of element

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67. The final global finite element equation for the complete structure can be written in the Matrix form,

{F}=[k]+{u}

{F}=[k]-{u}

{F=[k]{u}

{F=[k]/{u}

Answer

Correct Answer: {F=[k]{u}

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68. In FEM the degree of freedom is often called as

Shape function

Nodal displacement

Element matrix

Coordinates

Answer

Correct Answer: Shape function

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69. The size of the stiffness matrix is equal to the degree of freedom of the

Element

Node

Shape function

Beam

Answer

Correct Answer: Element

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70. In case of a truss member if there are 3 nodes and each node 2 DOF, then the order of

Stiffness matrix is

2x2

3x3

2x3

6x6

Answer

Correct Answer: 6x6

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71. In one of the property of shape function, summation of shape function [Σfi] is

Answer

Correct Answer: 1

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72. A Deformable system is in equilibrium, if the first variation in the total P.E of the system is zero refers to

Theorem of stationary P.E

Theorem of virtual work

Theorem of virtual displacement

Betti's theorem

Answer

Correct Answer: Theorem of virtual work

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73. How many nodes are in 3-D brick element

Answer

Correct Answer: 8

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74. The determinant of an element stiffness matrix is always

One

Zero

Depends on size of [K]

Two

Answer

Correct Answer: Zero

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75. The state of stress for a three dimensional body has ——— components.

Six

Three

Two

Four

Answer

Correct Answer: Six

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76. Example for one – Dimensional element is …..

Triangular element

Brick element

Truss element

Axisymmetric element

Answer

Correct Answer: Truss element

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77. A small unit having definite shape of geometry and node is known as

Discrete element

Finite element

Assembled element

Infinite element

Answer

Correct Answer: Assembled element

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78. The shape function has…value at one nodal point and…value at other nodal point

Unity, negative

Positive, negative

Unity, zero

High, low

Answer

Correct Answer: Unity, zero

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79. ________magnitude never exceeds unity

Local coordinate

Natural coordinate

Region coordinate

Global coordinate

Answer

Correct Answer: Natural coordinate

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80. The point in the entire structure is defined using coordinates system is known as

Local coordinate

Natural coordinate

Region coordinate

Global coordinate

Answer

Correct Answer: Global coordinate

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81. The art of subdividing a structure into a convenient number of smaller components is known as

Node

Elementization

Discretization

Numbering

Answer

Correct Answer: Discretization

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82. Example of 1-D Element

Bar

Triangle

Square

Tetrahedron

Answer

Correct Answer: Bar

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83. 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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84. The ________is the numerical method for solving complex problems in wide variety of engineering fields

FEA

Computational analysis

Ansys

ANSA

Answer

Correct Answer: FEA

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85. ________ are used to find the nodal displacements in all parts of element

Shape function

Node function

Element function

Coordinate function

Answer

Correct Answer: Shape function

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86. Unit of body force acting on every elemental volume of the body is

Force per unit area

Force per unit length

Force per unit volume

Force per unit time

Answer

Correct Answer: Force per unit area

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87. Domain is divided into some segments called

Finite element

Stiffness matrix

Node function

Shape function

Answer

Correct Answer: Finite element

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88. The distributed force per unit area on the surface of the body is

Pressure

Surface tension

Traction

None

Answer

Correct Answer: Pressure

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89. The force required to produce unit displacement is

Pressure

Traction

Stiffness

None

Answer

Correct Answer: Pressure

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90. Stiffness matrix depends on

Material

Geometry

Both

None

Answer

Correct Answer: Both

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91. The sum of shape functions is always

Infinite

None

Answer

Correct Answer: 1

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92. Finite element analysis deals with

Approximate numerical solution

Non boundary value problems

Partial differential equations

Laplace equations

Answer

Correct Answer: Approximate numerical solution

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93. The numbers of nodes for 1 D element are...

None

Answer

Correct Answer: 2

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94. In FEM the complex domain defining a continuum is divided into

Points

Elements

Triangles

None

Answer

Correct Answer: Points

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95. The total potential energy is the algebraic sum of

Integral strain energy and work potential

Integral strain energy and external work done

Integral stress energy and work potential

Integral stress energy and external work done

Answer

Correct Answer: Integral strain energy and external work done

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96. The shape function of the beam elements are known as

Hermite shape functions

Element shape functions

Hermite element functions

Both A&B

Answer

Correct Answer: Element shape functions

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97. If any element is specified by the polynomial of the order of two or more, the element is known as,

Non linear element

Higher order element

Both A&B

None

Answer

Correct Answer: Higher order element

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98. The sub domains are called as

Particles

Molecules

Elements

None

Answer

Correct Answer: Elements

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99. FEM also operates the parameters like

Heat transfer

Temperature

Both A&B

None

Answer

Correct Answer: Both A&B

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100. At Fixed support The displacements are equal to ……………………………

Answer

Correct Answer: 0

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101. The higher order elements are also called as

Complex elements

Compound element

Linear element

None

Answer

Correct Answer: Complex elements

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