Finite Element Method MCQ

1. Reduced integration elements do not permit internal stress gradients because of their single integration point and suffer from their own numerical problem known as

Answer

Correct Answer: Hourglassing

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2. In numerical mathematics, the constant strain triangle element, also known as the ?

Answer

Correct Answer: Both A and B

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3. Gauss points are also the points used for numerical evaluation of _____

Answer

Correct Answer: E^k

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4. For degenerate four noded quadrilateral element the errors are _____

Answer

Correct Answer: Higher

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5. For quadrilaterals with 2X2 integration gives _____ sets of stress values.

Answer

Correct Answer: 4

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6. The stresses in the quadratic element are not ______

Answer

Correct Answer: Constant

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7. Bayesian Quadrature is a statistical approach to the numerical problem of computing integrals and falls under the field of probabilistic numerics.

Answer

Correct Answer: TRUE

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8. 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.

Answer

Correct Answer: TRUE

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9. ______________ is a historical mathematical term that means calculating area

Answer

Correct Answer: Quadrature

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10. The term "numerical integration" first appears in ?

Answer

Correct Answer: 1915

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11. Numerical integration comprises a broad family of algorithms for calculating the numerical value of a?

Answer

Correct Answer: Definite integral

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12. 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?

Answer

Correct Answer: Integration point

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13. The strain-stress relation for orthotropic linear elastic materials can be written in Voigt notation.

Answer

Correct Answer: TRUE

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14. When an orthotropic plate is loaded parallel to its material axes, it results only _____

Answer

Correct Answer: Normal strains

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15. E1 value of Balsa wood is ___

Answer

Correct Answer: 0.125*10^6psi

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16. V12 indicates the poisson’s ratio that characterises the decrease in ______ during tension applied in ______.

Answer

Correct Answer: 2- direction and 1- direction

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17. The principal material axes that are normal to the _______

Answer

Correct Answer: Plane of symmetry

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18. Unidirectional fibre- reinforced composites also exhibit _______ behaviour.

Answer

Correct Answer: Orthotropic

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19. In linear elasticity, the relation between stress and strain depend on the type of material under consideration

Answer

Correct Answer: TRUE

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20. How many orthogonal symmetry planes does orthotropic material have?

Answer

Correct Answer: 3

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21. A familiar example of an orthotropic material is?

Answer

Correct Answer: Wood

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22. Which materials are special orthotropic materials that have one axis of symmetry?

Answer

Correct Answer: Transversely isotropic

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23. Using elementary row operations, a matrix can always be transformed into an upper triangular matrix.

Answer

Correct Answer: TRUE

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24. Frontal method is a _______ of Gaussian elimination method that uses the structure of finite element problem.

Answer

Correct Answer: Variation

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25. A banded matrix is defined as ____________

Answer

Correct Answer: Non zero elements are contained in band

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26. Step number in Gaussian elimination is denoted as ___________

Answer

Correct Answer: Superscript

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27. Gaussian elimination is a name given to a well known method of solving simultaneous equations by successively eliminating _________.

Answer

Correct Answer: Unknown

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28. A matrix is said to be in reduced row echelon form if furthermore all of the leading coefficients are equal to 1

Answer

Correct Answer: TRUE

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29. Using row operations to convert a matrix into reduced row echelon form is sometimes called?

Answer

Correct Answer: Gauss–Jordan elimination

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30. How many types of elementary row operations?

Answer

Correct Answer: 3

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31. Gaussian elimination method can also be used to find the ?

Answer

Correct Answer: All of the above

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32. Gaussian elimination, also known as?

Answer

Correct Answer: Row reduction

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33. A (A^-1)=(A^-1)A is a condition for ________

Answer

Correct Answer: Matrix inversion

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34. Which of the following properties define a singular matrix?

Answer

Correct Answer: All of the above

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35. A positive definite symmetric matrix A can be decomposed into form A=LL^T this decomposition is called ________

Answer

Correct Answer: Cholesky

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36. A symmetric matrix is called ____________, if all its Eigenvalues are strictly positive i.e., greater than zero.

Answer

Correct Answer: Positive definite

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37. A matrix with 4 rows and 2 columns can be subtracted to a matrix with 5 rows and 2 columns.

Answer

Correct Answer: FALSE

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38. If you want to add two matrices, their dimensions must be exactly the same.

Answer

Correct Answer: TRUE

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39. A diagonal matrix with zeros as elements except for the diagonal, which was once known as?

Answer

Correct Answer: Identity matrix

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40. Dimensions are also called?

Answer

Correct Answer: Order

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41. ____________ is used in statistics to express collections of data.

Answer

Correct Answer: Matrix algebra

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42. A matrix is a rectangular array of numbers arranged into?

Answer

Correct Answer: Both A and B

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43. In any FEA software, a large amount of mathematical work is done in ________ phase.

Answer

Correct Answer: Post processing

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44. The equation for thermal stress in each element is ________.

Answer

Correct Answer: σ = E (Bq - α Δt)

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45. 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.

Answer

Correct Answer: 10000

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46. As per the penalty approach, the equation of reaction force is _____.

Answer

Correct Answer: R = -C (Q-a)

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47. The strain energy per unit volume is equal to _________.

Answer

Correct Answer: (1/2) * Force * Deflection

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48. The total potential energy of an elastic body is defined as _______.

Answer

Correct Answer: Strain energy + Work potential

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49. In truss analysis, the reactions can be found by using the equation ______.

Answer

Correct Answer: R=KQ-F

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50. Elements with an aspect ratio of near to ______ generally yield best results in FEA.

Answer

Correct Answer: 1

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

Answer

Correct Answer: More

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

Answer

Correct Answer: More

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

Answer

Correct Answer: 10

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

Answer

Correct Answer: 8

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

Answer

Correct Answer: 4

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

Answer

Correct Answer: Infinite

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57. Crack propagation problems come under _______ category.

Answer

Correct Answer: Transient problems

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

Answer

Correct Answer: Pressure distribution

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59. For thermal analysis, the field variable is _________.

Answer

Correct Answer: Temperature

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

Answer

Correct Answer: Modal analysis

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

Answer

Correct Answer: AutoCAD

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62. The actual thickness of the plane strain element is ________.

Answer

Correct Answer: Very large

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63. Which of the following is true for the stiffness matrix (K)?

Answer

Correct Answer: K is a banded matrix

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

Answer

Correct Answer: The minimum potential energy principle

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

Answer

Correct Answer: Axisymmetric shells

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

Answer

Correct Answer: Global coordinate system

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

Answer

Correct Answer: Plane stress

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

Answer

Correct Answer: Shape functions

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

Answer

Correct Answer: Aspect ratio

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70. Which of the following is not a method for calculation of the stiffness matrix?

Answer

Correct Answer: Inverse matrix method

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71. 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 _____.

Answer

Correct Answer: Modules

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72. The finite element methods can be applied in ____________areas.

Answer

Correct Answer: All of the mentioned

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

Answer

Correct Answer: 3

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74. _______ is the phase/s of the finite element method.

Answer

Correct Answer: All of the mentioned

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75. Axis-Symmetric element is______________Element

Answer

Correct Answer: 2D

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76. From below, choose the correct condition for the axisymmetric element.

Answer

Correct Answer: All of the mentioned

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

Answer

Correct Answer: 8

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78. The determinant of an element stiffness matrix is always

Answer

Correct Answer: 0

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79. Example for one – Dimensional element is ___________ .

Answer

Correct Answer: Truss element

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80. The truss element can deform only in the

Answer

Correct Answer: Axial direction

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81. The truss element can resist only

Answer

Correct Answer: Axial force

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82. The nature of loading at various locations and other surfaces conditions called

Answer

Correct Answer: Boundary condition

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

Answer

Correct Answer: Shape function

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

Answer

Correct Answer: 33

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85. Example of 2-D Element is ___________ .

Answer

Correct Answer: Triangle

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86. Stiffness matrix depends on

Answer

Correct Answer: Material and geometry

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87. Finite element analysis deals with ___________ .

Answer

Correct Answer: Approximate numerical solution

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88. The numbers of node for 1 D element are

Answer

Correct Answer: 2

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89. In FEA, the sub domains are called as ___________.

Answer

Correct Answer: Elements

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90. At fixed support, the displacements are equal to

Answer

Correct Answer: 0

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

Answer

Correct Answer: Engineering mechanics

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92. On gathering stiffness and loads, the system of equations is given by

Answer

Correct Answer: KQ=F

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

Answer

Correct Answer: Degrees of freedom

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

Answer

Correct Answer: 6

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95. The sum of the shape function is equal to

Answer

Correct Answer: 1

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

Answer

Correct Answer: Discretization

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

Answer

Correct Answer: Finite elements

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98. For truss analysis, which type of elements are used?

Answer

Correct Answer: Bar

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99. From the following, which type of element is not three dimensional?

Answer

Correct Answer: Quadrilateral

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

Answer

Correct Answer: Tetrahedron

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