Finite Element Methods MCQs
Finite Element Methods MCQs
Try to answer these 90+ Finite Element Methods MCQs and check your understanding of the Finite Element Methods subject.
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1: Symmetry and sparsity of the global stiffness matrix can be approached by _____ methods.
A. One
B. Three
C. Two
D. Four
2: Which of these was one of the methods for determining assembly of the global stiffness matrix?
A. Galerkin approach
B. Skyline approach
C. Rayleigh method
D. Assembly method
3: In a banded matrix, elements are _____ placed in the stiffness matrix.
A. Singular
B. Determinant values
C. Directly
D. Indirectly
4: In Skyline matrix, the elements in a stiffness matrix can be placed in _______
A. Direct values
B. Determinant values
C. Load values
D. Vector form
5: The first step of skyline assembly matrix involves evaluation of ____
A. Column height
B. Row height
C. Matrix height
D. Undefined
6: The second step in skyline approach is assembling the element stiffness values into _____
A. Row vector
B. Identity vector
C. Column vector
D. Determinant vector
7: The details of a skyline assembly matrix are implemented in a program called ____
A. Boolean program
B. Cholesky program
C. Truss program
D. Trussky program
8: In 2D elements. Discretization can be done. The points where triangular elements meet are called ____
A. Displacement
B. Nodes
C. Vector displacements
D. Co-ordinates
9: Each triangle formed by three nodes and three sides is called a ______
A. Node
B. Force matrix
C. Displacement vector
D. Element
10: The finite element method is used to solve the problem ______
A. Uniformly
B. Vigorously
C. Approximately
D. Identically
11: In two dimensional modelling each node has ____ degrees of freedom.
A. One
B. Infinity
C. Finite
D. Two
12: The information of array of size and number of elements and nodes per element can be seen in ___
A. Column height
B. Element connectivity table
C. Matrix form
D. Undefined
13: Finite element method uses the concept of _____
A. Nodes and elements
B. Nodal displacement
C. Shape functions
D. Assembling
14: For constant strain elements the shape functions are ____
A. Spherical
B. Quadratics
C. Polynomial
D. Linear
15: Linear combination of these shape functions represents a ______
A. Square surface
B. Linear surface
C. Plane surface
D. Combinational surface
16: In particular, N 1+N 2 +N 3 represent a plane at a height of one at nodes ______
A. One
B. Two
C. Three
D. One, two and three
17: In two dimensional problems x-, y- coordinates are mapped onto ____
A. X-, y- coordinates
B. X-, ξ – co-ordinates
C. η-, y- coordinates
D. ξ-η-Co-ordinates
18: The shape functions are physically represented by _____
A. Triangular coordinates
B. ξ-,η-Co-ordinates
C. Area coordinates
D. Surface coordinates
19: The equation u=Nq is a _____ representation.
A. Nodal
B. Isoparametric
C. Biparametric
D. Co-ordinate
20: For plane stress or plane strain, the element stiffness matrix can be obtained by taking _____
A. Shape functions, N
B. Material property matrix, D
C. Iso parametric representation, u
D. Degrees of freedom, DoF
21: In the equation KQ=F, K is called as ____
A. Stiffness matrix
B. Modified stiffness matrix
C. Singular stiffness matrix
D. Uniform stiffness matrix
22: Principal stresses and their directions are calculated by using ____
A. Galerkin approach
B. Rayleigh method
C. Potential energy method
D. Mohr’s circle method
23: I the distribution of the change in temperature ΔT, the strain due to this change is ____
A. Constant strain
B. Stress
C. Initial strain
D. Uniform strain
24: Finite element method is used for computing _____ and _____
A. Stress and strain
B. Nodes and displacement
C. Nodes and elements
D. Displacement and strain
25: In deformation of the body, the symmetry of ______ and symmetry of ____ can be used effectively.
A. Stress and strain
B. Nodes and displacement
C. Geometry and strain
D. Geometry and loading
26: For a circular pipe under internal or external pressure, by symmetry all points move _____
A. Radially
B. Linearly
C. Circularly
D. Along the pipe
27: Boundary conditions can be easily considered by using _______
A. Rayleigh method
B. Penalty approach method
C. Galerkin approach
D. Potential energy approach
28: When dividing an area into triangles, avoid large _____
A. Dimensions
B. Loading
C. Aspect ratios
D. Boundary conditions
29: In dividing the elements a good practice may be to choose corner angles in the range of ____
A. 30-120°
B. 90-180°
C. 25-75°
D. 45-180°
30: Stresses can be change widely at ____
A. Large circular sections
B. Notches and fillets
C. Corners
D. Crystals
31: The Constant strain triangle can give____ stresses on elements.
A. Linear
B. Constant
C. Uniform
D. Parallel
32: The _____ can be obtained even with coarser meshes by plotting and extrapolating.
A. Minimum stresses
B. Minimum strain
C. Maximum stresses
D. Maximum strain
33: Coarser meshes are recommended for _____
A. Loading
B. Notches and fillets
C. Crystals
D. Initial trails
34: Increasing the number of nodes in coarse mesh regions where stress variations are high, should give better results. This method is called _____
A. Divergence
B. Convergence
C. Convergent- divergent
D. Un defined
35: In two dimensional isoparametric elements, we can generate element stiffness matrix by using ____
A. Numerical integration
B. Differential equations
C. Partial derivatives
D. Undefined
36: For a four noded quadrilateral, we define shape functions on _____
A. X direction
B. Y direction
C. Load vector
D. Master element
37: The master element is defined in ______
A. Co-ordinates
B. Natural coordinates
C. Universal coordinates
D. Radius
38: The stiffness matrix from the quadrilateral element can be derived from _____
A. Uniform energy
B. Strain energy
C. Stress
D. Displacement
39: For four noded quadrilateral element, the global load vector can be determined by considering the body force term in _____
A. Kinetic energy
B. Potential energy
C. Kinetic energy
D. Temperature
40: Shape functions are linear functions along the _____
A. Surfaces
B. Edges
C. Elements
D. Planes
41: The stresses in the quadratic element are not ______
A. Linear
B. Uniform
C. Constant
D. Undefined
42: The stresses are evaluated at the __________
A. Nodal points
B. Nodal displacements
C. Gauss points
D. Elements
43: For quadrilaterals with 2X2 integration gives _____ sets of stress values.
A. One
B. Two
C. Three
D. Four
44: For degenerate four noded quadrilateral element the errors are _____
A. Constant
B. Uniform
C. Higher
D. Lesser
45: Gauss points are also the points used for numerical evaluation of _____ Surfaces
A. K
B. E
C. Elements
D. Planes
46: In the four-node quadrilateral element, the shape functions contained terms _________
A. ξ
B. σ
C. C)
D. ∅
47: A _________ element by using a nine-node shape function.
A. Load vector
B. Sub parametric
C. Element displacement vector
D. Constant matrix
48: Eight-Node Quadrilateral. This element belongs to the ________ family of elements.
A. Serendipity
B. Constant matrix
C. Load vector
D. Master element
49: Six node triangular elements is also known as _____
A. Triangle
B. Quadratic triangle
C. Interpolation
D. Shape function
50: In six node triangular element, the gauss points of a triangular element can be defined by ____
A. Two point rule
B. Three point rule
C. One point rule
D. Undefined
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