Q No - 1
From the following, which type of element is not two dimensional?
(A) Rectangle
(B) Quadrilateral
(C) Parallelogram
(D) Tetrahedron
Q No - 2
From the following, which type of element is not three dimensional?
(A) Hexahedron
(B) Quadrilateral
(C) Rectangular prism
(D) Tetrahedron
Q No - 3
For truss analysis, which type of elements are used?
(A) Triangle
(B) Bar
(C) Rectangle
(D) Parallelogram
Q No - 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
Q No - 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
Q No - 6
The sum of the shape function is equal to
(A) 0
(B) 0.5
(C) 1
(D) 2
Q No - 7
A triangular plane stress element has how many degrees of freedom?
(A) 3
(B) 4
(C) 5
(D) 6
Q No - 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
Q No - 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
Q No - 10
The finite element method is mostly used in the field of
(A) structural mechanics
(B) classical mechanics
(C) applied mechanics
(D) engineering mechanics
Q No - 11
At fixed support, the displacements are equal to
(A) 1
(B) 2
(C) 3
(D) 0
Q No - 12
In FEA, the sub domains are called as ___________ .
(A) particles
(B) molecules
(C) elements
(D) none
Q No - 13
The numbers of node for 1 D element are
(A) 1
(B) 2
(C) 3
(D) 0
Q No - 14
Finite element analysis deals with ___________ .
(A) approximate numerical solution
(B) non-boundary value problems
(C) partial differential equations
(D) laplace equations
Q No - 15
Stiffness matrix depends on
(A) material
(B) geometry
(C) both material and geometry
(D) none of the above
Q No - 16
Example of 2-D Element is ___________ .
(A) bar
(B) triangle
(C) hexahedron
(D) tetrahedron
Q No - 17
For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of
(A) 2*2
(B) 3*3
(C) 4*4
(D) 6*6
Q No - 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
Q No - 19
The nature of loading at various locations and other surfaces conditions called
(A) boundary condition
(B) traction
(C) friction
(D) surfacing
Q No - 20
The truss element can resist only
(A) axial force
(B) surface force
(C) point load
(D) none of the above
Q No - 21
The truss element can deform only in the
(A) axial direction
(B) vertical direction
(C) horizontal direction
(D) inclined direction
Q No - 22
Example for one – Dimensional element is ___________ .
(A) triangular element
(B) brick element
(C) truss element
(D) axisymmetric element
Q No - 23
The determinant of an element stiffness matrix is always
(A) 3
(B) 2
(C) 1
(D) 0
Q No - 24
How many nodes are there in a 3-D brick element?
(A) 3
(B) 6
(C) 8
(D) 9
Q No - 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 the above
Q No - 26
Axis-Symmetric element is______________Element
(A) 1D
(B) 2D
(C) 3D
(D) 4D
Q No - 27
_______ is/are the phase/s of finite element method.
(A) Preprocessing
(B) Solution
(C) Post Processing
(D) A, B & C
Q No - 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
Q No - 29
The finite element methods can be applied in ____________areas.
(A) thermal
(B) soil and rock mechanics
(C) vibration
(D) all of the above
Q No - 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
Q No - 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
Q No - 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) None of the above
Q No - 33
_________ are used to express the geometry or shape of the element.
(A) Mode shapes
(B) Shape functions
(C) Natural curves
(D) None of the above
Q No - 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
Q No - 35
The characteristic of the shape function is _______.
(A) the shape function has a unit value at one nodal point and zero value at the other nodes
(B) the sum of the shape function is equal to one
(C) both a & b
(D) none of the above
Q No - 36
The points in the entire structure are defined using the coordinates system is known as ______.
(A) local coordinates system
(B) natural coordinates system
(C) global coordinate system
(D) none of the above
Q No - 37
The applications of the Finite Element Method in two-dimensional analyses are ______.
(A) stretching of plates
(B) gravity of dams
(C) axisymmetric shells
(D) all of the above
Q No - 38
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
Q No - 39
Which of the following is true for the stiffness matrix (K)?
(A) K is a banded matrix
(B) K is un-symmetric
(C) K is an un-banded matrix
(D) none of the above
Q No - 40
The actual thickness of plane strain element is ______.
(A) very large
(B) very small
(C) assumed by software
(D) any of the above
Q No - 41
Which of the following is not an FEA package?
(A) ANSYS
(B) Nastran
(C) Abaqus
(D) AutoCAD
Q No - 42
Which of the following module of FEA is used to determine natural frequency?
(A) Static analysis
(B) Thermal analysis
(C) Modal analysis
(D) All of the above
Q No - 43
For thermal analysis, the field variable is _________.
(A) stress
(B) strain
(C) displacement
(D) temperature
Q No - 44
In FEA of a fluid mechanics problem, we need to find _______.
(A) stress distribution
(B) heat flux distribution
(C) pressure distribution
(D) all of the above
Q No - 45
Crack propagation problems come under _______ category.
(A) steady-state problems
(B) eigenvalue problems
(C) transient problems
(D) any of the above
Q No - 46
In penalty approach, rigid support is considered as a spring having _________ stiffness.
(A) zero
(B) very small
(C) very large
(D) infinite
Q No - 47
How many nodes are there in a tetrahedron element?
(A) 3
(B) 4
(C) 5
(D) 6
Q No - 48
How many nodes are there in a hexahedron element?
(A) 4
(B) 6
(C) 8
(D) 10
Q No - 49
How many nodes are there in a tetrahedron with curved sides element?
(A) 6
(B) 8
(C) 10
(D) 12
Q No - 50
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
Q No - 51
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
Q No - 52
Elements with an aspect ratio of near to ______ generally yield best results in FEA.
(A) 0
(B) 0.5
(C) 1
(D) 2
Q No - 53
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
Q No - 54
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 potentia
Q No - 55
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
Q No - 56
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)
Q No - 57
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
Q No - 58
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)
Q No - 59
In any FEA software, the large amount of mathematical work is done in ________ phase.
(A) preprocessing
(B) solution
(C) postprocessing
(D) all of the above
Q No - 60
Finite element method is advantageous to solve:
a. Structures with complex geometries.
b. Structures with dissimilar materials.
c. To obtain local effects in structures.
d. All of the above.
Q No - 61
The term "finite element" was first used by _____ in 1960.
a. Alexander Hrennikoff
b. Richard Courant
c. Argyris and Kelsey
d. Ray William Clough
Q No - 62
In Finite Element Method, assemblage of elements is known as ____.
a. Meshing
b. Discretization
c. Convergence
d. Reduction
Q No - 63
FEM can be used to solve :
a. Boundary value problem
b. Eigen value problem
c. Initial value problem
d. All of the above
Q No - 64
Which of the following statement is true about Finite Element Analysis (FEA)?
a. Residue obtained equals zero.
b. The solution is exact.
c. The solution is exact at boundaries.
d. It is an analytical technique.
Q No - 65
In finite element analysis over a domain, an interpolation function represents a ________.
a. Change in variable over an element.
b. Change in variable over the whole domain.
c. Shape of the element.
d. Shape of the whole domain.
.Q No - 66
If a domain is discretized in to N linear 1-D elements, then the number of nodes will be:
a. N
b. N+1
c. N-1
d. 2N
Q No - 67
In a 1-D quadratic element (quad element), how many nodes are present?
a. 1
b. 2
c. 3
d. 4
Q No - 68
In FEA, the solution is said to be converging when ________.
a. Element is converging to a point.
b. Residue is tending to zero.
c. Order of shape function is increasing.
d. Number of elements is increasing.
Q No - 69
In parabolic time dependent problems, temporal approximation uses __________.
a. New mark family of approximations.
b. Alpha family of approximations.
c. Beta family of approximations.
d. Gamma family of approximations.
Q No - 70
Consider Δt is the difference of time step. What is the order of accuracy of Eular method in
alpha family of approximation for parabolic time dependent problems?
a. (Δt)√2
b. (2Δt)2
c. (3Δt)3
d. Δt
Q No - 71
In context of a space-time PDE, what is the meaning of "spatial approximation"?
a. Conversion of a space-time partial differential equation into a partial differential equation in time.
b. Conversion of a space-time partial differential equation into a partial differential equation in space.
c. Conversion of a space-time partial differential equation into an ordinary differential equation in time.
d. Conversion of a space-time partial differential equation into an ordinary differential equation in space.
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