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?
A. ANSYS
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
51: Elements with an aspect ratio of near to ______ generally yield best results in FEA.
A. 0.5
B. 1
C. 2
52: In truss analysis, the reactions can be found by using the equation ______.
A. R=KQ+F
B. R=KQ-F
C. R=K+QF
D. R=K-QF
53: The total potential energy of an elastic body is defined as _______.
A. Strain energy - Work potential
B. Strain energy + Work potential
C. Strain energy + Kinetic energy - Work potential
D. Strain energy + Kinetic energy + Work potential
54: The strain energy per unit volume is equal to _________.
A. (1/2) * Force * Deflection
B. (1/4) * Force * Deflection
C. (1/2) * Stress * Deflection
D. (1/4) * Stress * Deflection
55: As per the penalty approach, the equation of reaction force is _____.
A. R = -CQ
B. R = CQ
C. R = -C (Q-a)
D. R = -C (Q+a)
56: 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.
A. 10
B. 100
C. 1000
D. 10000
57: The equation for thermal stress in each element is ________.
A. σ = E (Bq + α Δt)
B. σ = E (Bq - α Δt)
C. σ = E (B + α Δt)
D. σ = E (B - α Δt)
58: In any FEA software, a large amount of mathematical work is done in ________ phase.
A. Preprocessing
B. Solution
C. Post processing
D. All of the above
59: A matrix is a rectangular array of numbers arranged into?
A. Rows
B. Columns
C. Both A and B
D. Values
60: ____________ is used in statistics to express collections of data.
A. Matrix design
B. Matrix algebra
C. Matrix drawing
D. Matrix tool
61: Dimensions are also called?
A. Elements
B. Row
C. Columns
D. Order
62: A diagonal matrix with zeros as elements except for the diagonal, which was once known as?
A. Identity matrix
B. Scalar matrix
C. Vector matrix
D. Transpose matrix
63: If you want to add two matrices, their dimensions must be exactly the same.
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
64: A matrix with 4 rows and 2 columns can be subtracted to a matrix with 5 rows and 2 columns.
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
65: A symmetric matrix is called ____________, if all its Eigenvalues are strictly positive i.e., greater than zero.
A. Negative definite
B. Co- definite
C. Positive definite
D. Alternative definite
66: A positive definite symmetric matrix A can be decomposed into form A=LL^T this decomposition is called ________
A. Rayleighs
B. Galerkins
C. Potential energy
D. Cholesky
67: Which of the following properties define a singular matrix?
A. The matrix is square
B. It does not have an inverse
C. It has a determinant of 0
D. All of the above
68: A (A^-1)=(A^-1)A is a condition for ________
A. Singular matrix
B. Nonsingular matrix
C. Matrix inversion
D. Adjoint of matrix
69: Gaussian elimination, also known as?
A. Column reduction
B. Row reduction
C. Matrix reduction
D. All of the above
70: Gaussian elimination method can also be used to find the ?
A. To calculate the determinant of a matrix
B. To calculate the inverse of an invertible square matrix
C. Rank of a matrix
D. All of the above
71: How many types of elementary row operations?
A. 1
B. 2
C. 3
D. 4
72: Using row operations to convert a matrix into reduced row echelon form is sometimes called?
A. Gauss–Jordan elimination
B. Jordan elimination
C. Gauss elimination
D. Matrix elimination
73: A matrix is said to be in reduced row echelon form if furthermore all of the leading coefficients are equal to 1
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
74: Gaussian elimination is a name given to a well known method of solving simultaneous equations by successively eliminating _________.
A. Variables
B. Equations
C. Unknown
D. Algorithms
75: Step number in Gaussian elimination is denoted as ___________
A. Subscript
B. Superscript
C. Unknown
D. Elimination
76: A banded matrix is defined as ____________
A. Zero elements are contained in a band
B. Non zero elements are contained out of a band
C. Both Non zero elements and Zero elements
D. Non zero elements are contained in band
77: Frontal method is a _______ of Gaussian elimination method that uses the structure of finite element problem.
A. Structure
B. Variation
C. Algorithm
D. Data
78: Using elementary row operations, a matrix can always be transformed into an upper triangular matrix.
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
79: Which materials are special orthotropic materials that have one axis of symmetry?
A. Anisotropic materials
B. Orthotropic material
C. Transversely isotropic
D. Polycrystalline
80: A familiar example of an orthotropic material is?
A. Steel
B. Paper
C. Water
D. Wood
81: How many orthogonal symmetry planes does orthotropic material have?
A. 2
B. 3
C. 4
D. 5
82: In linear elasticity, the relation between stress and strain depend on the type of material under consideration
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
83: Unidirectional fibre- reinforced composites also exhibit _______ behaviour.
A. Isotropic
B. Orthotropic
C. Material
D. Unidirectional composite
84: The principal material axes that are normal to the _______
A. Co-ordinates
B. Number of nodes
C. Principal axes
D. Plane of symmetry
85: V12 indicates the poisson’s ratio that characterises the decrease in ______ during tension applied in ______.
A. 2- direction and 3- direction
B. 1- direction and 2- direction
C. 2- direction and 1- direction
D. 2- direction and 4- direction
86: E1 value of Balsa wood is ___
A. 0.125*10^6psi
B. 12.04*10^6psi
C. 23.06*10^6psi
D. 7.50*10^6psi
87: When an orthotropic plate is loaded parallel to its material axes, it results only _____
A. Shear strains
B. Normal strains
C. Parallel strains
D. Uniform strains
88: The strain-stress relation for orthotropic linear elastic materials can be written in Voigt notation.
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
89: 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?
A. Quadrature point
B. Composite point
C. Midpoint
D. Integration point
90: Numerical integration comprises a broad family of algorithms for calculating the numerical value of a?
A. Definite integral
B. Indefinite integral
C. Simple integral
D. Compound integral
91: The term "numerical integration" first appears in ?
A. 1910
B. 1915
C. 1920
D. 1925
92: ______________ is a historical mathematical term that means calculating area
A. Alpha
B. Beta
C. Quadrature
D. Octature
93: 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.
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
94: Bayesian Quadrature is a statistical approach to the numerical problem of computing integrals and falls under the field of probabilistic numerics.
A. TRUE
B. FALSE
C. Can be true or false
D. Can not say
95: The stresses in the quadratic element are not ______
A. Linear
B. Uniform
C. Constant
D. Undefined
96: For quadrilaterals with 2X2 integration gives _____ sets of stress values.
A. 1
B. 2
C. 3
D. 4
97: For degenerate four noded quadrilateral element the errors are _____
A. Constant
B. Uniform
C. Higher
D. Lesser
98: Gauss points are also the points used for numerical evaluation of _____
A. Surface
B. E^k
C. Elements
D. Planes
99: In numerical mathematics, the constant strain triangle element, also known as the ?
A. CST element
B. T3 element
C. T10 element
D. Both A and B
100: Reduced integration elements do not permit internal stress gradients because of their single integration point and suffer from their own numerical problem known as
A. Minglassing
B. Bending deformation
C. Hourglassing
D. Shear locking
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