Finite Element Method MCQs

Finite Element Method MCQs

Try to answer these 400+ Finite Element Method MCQs and check your understanding of the Finite Element Method subject.
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1: From the following, which type of element is not two dimensional?

A.   Rectangle

B.   Quadrilateral

C.   Parallelogram

D.   Tetrahedron

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

A.   Hexahedron

B.   Quadrilateral

C.   Rectangular prism

D.   Tetrahedron

3: For truss analysis, which type of elements are used?

A.   Triangle

B.   Bar

C.   Rectangle

D.   Parallelogram

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

A.   Finite elements

B.   Infinite elements

C.   Dynamic elements

D.   Static elements

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

A.   Assemblage

B.   Continuum

C.   Traction

D.   Discretization

6: The sum of the shape function is equal to

A.   0.5

B.   1

C.   2

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

A.   3

B.   4

C.   5

D.   6

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

A.   Nature of element

B.   Type of an element

C.   Degrees of freedom

D.   Nodes

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

A.   KQ=F

B.   KQ≠F

C.   K=QF

D.   K≠QF

10: The finite element method is mostly used in the field of

A.   Structural mechanics

B.   Classical mechanics

C.   Applied mechanics

D.   Engineering mechanics

11: At fixed support, the displacements are equal to

A.   1

B.   2

C.   0

12: In FEA, the sub domains are called as ___________.

A.   Particles

B.   Molecules

C.   Elements

D.   Lines

13: The numbers of node for 1 D element are

A.   1

B.   2

C.   3

14: Finite element analysis deals with ___________ .

A.   Approximate numerical solution

B.   Non-boundary value problems

C.   Partial differential equations

D.   Laplace equations

15: Stiffness matrix depends on

A.   Material

B.   Geometry

C.   Material and geometry

D.   Neither material nor geometry

16: Example of 2-D Element is ___________ .

A.   Bar

B.   Triangle

C.   Hexahedron

D.   Tetrahedron

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

A.   22

B.   33

C.   44

D.   66

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

A.   Shape function

B.   Node function

C.   Element function

D.   Coordinate function

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

A.   Boundary condition

B.   Traction

C.   Friction

D.   Surfacing

20: The truss element can resist only

A.   Axial force

B.   Surface force

C.   Point load

D.   Radial force

21: The truss element can deform only in the

A.   Axial direction

B.   Vertical direction

C.   Horizontal direction

D.   Inclined direction

22: Example for one – Dimensional element is ___________ .

A.   Triangular element

B.   Brick element

C.   Truss element

D.   Axisymmetric element

23: The determinant of an element stiffness matrix is always

A.   3

B.   2

C.   0

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

A.   3

B.   6

C.   8

D.   9

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

A.   Symmetric about axis

B.   Boundary conditions are symmetric about an axis

C.   Loading conditions are symmetric about an axis

D.   All of the mentioned

26: Axis-Symmetric element is______________Element

A.   1D

B.   2D

C.   3D

D.   4D

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

A.   Preprocessing

B.   Solution

C.   Post Processing

D.   All of the mentioned

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

A.   3

B.   4

C.   1

D.   2

29: The finite element methods can be applied in ____________areas.

A.   Thermal

B.   Soil and rock mechanics

C.   Vibration

D.   All of the mentioned

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 _____.

A.   Elements

B.   Modules

C.   Links

D.   Models

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

A.   The minimum potential energy principle

B.   Galerkin's principle

C.   Weighted residual method

D.   Inverse matrix method

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

A.   Element depth ratio

B.   Mode shape ratio

C.   Aspect ratio

D.   Mode change ratio

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

A.   Mode shapes

B.   Shape functions

C.   Natural curves

D.   Artificial curves

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

A.   Plane stress

B.   Plane strain

C.   Zero stress

D.   Zero strain

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

A.   Local coordinates system

B.   Natural coordinates system

C.   Global coordinate system

D.   Screen coordinate system

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

A.   Stretching of plates

B.   Gravity of dams

C.   Axisymmetric shells

D.   Gravity of plates

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

A.   Inverse matrix method

B.   Weighted residual method

C.   Galerkin‟s principle

D.   The minimum potential energy principle

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

A.   K is a banded matrix

B.   K is unsymmetric

C.   K is an un-banded matrix

D.   K is tri-symmetric

39: The actual thickness of the plane strain element is ________.

A.   Very large

B.   Very small

C.   Assumed by software

D.   Zero

40: Which of the following is not an FEA package?


B.   Nastran

C.   Abaqus

D.   AutoCAD

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

A.   Static analysis

B.   Thermal analysis

C.   Modal analysis

D.   Steady analysis

42: For thermal analysis, the field variable is _________.

A.   Stress

B.   Strain

C.   Displacement

D.   Temperature

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

A.   Stress distribution

B.   Heat flux distribution

C.   Pressure distribution

D.   Power distribution

44: Crack propagation problems come under _______ category.

A.   Steady-state problems

B.   Eigenvalue problems

C.   Transient problems

D.   Eigenvector problems

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

A.   Zero

B.   Very small

C.   Very large

D.   Infinite

46: How many nodes are there in a tetrahedron element?

A.   3

B.   4

C.   5

D.   6

47: How many nodes are there in a hexahedron element?

A.   4

B.   6

C.   8

D.   10

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

A.   6

B.   8

C.   10

D.   12

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

A.   More

B.   Less

C.   Depends on other factors

D.   Can't say

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

A.   Less

B.   More

C.   Depends on other factors

D.   Can't say