MCQs > Engineering & Manufacturing > Civil Engineering MCQs > Finite Element Method MCQs

Finite Element Method MCQ

1. 16 Sum of all shape functions is equal to

Answer

Correct Answer: +1

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2. FEM cant produce exact results as those of…………methods

Answer

Correct Answer: All the above

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

Answer

Correct Answer: Engg mechanics

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4. The geometry and other parameters of an element in terms of only one spatial coordinate then the element is

Answer

Correct Answer: None

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5. The art of subdividing a structure into a convenient number of smaller components isCalled

Answer

Correct Answer: Discretization

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6. A six noded triangular element is known as

Answer

Correct Answer: Constant strain triangular element

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

Answer

Correct Answer: KQ=F

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8. The displacement function for 1-D ,two node linear element in terms of shape function will be

Answer

Correct Answer: U = N1u1+N2u2

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9. The eight node quadrilateral element belongs to…………. Family of elements

Answer

Correct Answer: None

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10. The higher order elements are also called as

Answer

Correct Answer: None

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11. In weighted residual technique,the methods adopted are

Answer

Correct Answer: All

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12. Number of displacement polynomials used for an element depends on

Answer

Correct Answer: Degrees of freedom

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13. A triangular plane stress element has_________degree of freedom

Answer

Correct Answer: 6

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14. A three noded triangular element is called as

Answer

Correct Answer: Differable strain triangular element

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

Answer

Correct Answer: Finite elements

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16. Numerical algorithms are based on

Answer

Correct Answer: FEM and FDTD

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17. Finite element method is also called

Answer

Correct Answer: Finite element analysis

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18. FEM gives accurate representation of

Answer

Correct Answer: Complex geometry

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19. The finite element method formulation of the problem results in a system of

Answer

Correct Answer: Algebraic equations

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20. Which part of the building is to be analysed as per theory of plate bending?

Answer

Correct Answer: Slab

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21. From the following options, identify the incorrect weighted residual method.

Answer

Correct Answer: Wilson-q method

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22. When displacement nodes are greater than geometry nodes, it is known as

Answer

Correct Answer: Subparametric

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23. Pick the incorrect statement

Answer

Correct Answer: FEM is an exact method of analysis.

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24. The following element is only used in conforming variational correctness.

Answer

Correct Answer: BFS element

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25. The ratio of the largest dimension of the element to the smallest dimension is defined as

Answer

Correct Answer: Aspect ratio

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26. The shape function has

Answer

Correct Answer: Unit value at one nodal point and zero value at other nodal points.

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27. As per Mindlin plate theory

Answer

Correct Answer: C2 Continuity element is converted into C0 Continuity element

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28. Which of the following statements is not true for an axial bar divided into three elements?

Answer

Correct Answer: The size of the local stiffness matrix will be 2X2.

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29. Four noded rectangular element in natural coordinate system belongs to

Answer

Correct Answer: Both lagrangence and serendipity families

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30. Consider a bar of uniform cross section as shown in figure. The distributed force acting on the bar is varying linearly with ‘x’, thus identifying the proper polynomial functions for approximation of solution.

Answer

Correct Answer: U(x) = a1 x + a2 x2

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31. If the length of element is 5mm , cross section area is 20 mm2 and E is 210 GPa, the axial stiffness is

Answer

Correct Answer: 20x210000000/5

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32. If natural coordinates xi=0.5, eta=0.6, the values of shape functions of four noded Isoparametric rectangular element in natural coordinates are

Answer

Correct Answer: 0.5, 0.15, 0.6, 0.2

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33. Which is not a convergence requirement of the displacement function

Answer

Correct Answer: The displacement function should be geometrically invariant

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34. 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: 3x3

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35. Which is not the characteristic of a Flat shell element?

Answer

Correct Answer: They must be thick and the variation of stresses take place along the thickness of element

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36. Classical thin plate theory is called as

Answer

Correct Answer: Kirchhoff Theory

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37. The following element is only used in non conforming variational correctness.

Answer

Correct Answer: ACM element

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38. Determine the Cartesian coordinates of any point P if N1=0.05, N2=0.15, N3=0.6 and N4=0.2. Coordinates of nodes are x1=2, x2=8, x3=7, x4=3, y1=1, y2=3, y3=7, y4=5.

Answer

Correct Answer: 6.1, 5.7

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39. The following integral formulation is used in weighted residual method. Identify the form of integral

Answer

Correct Answer: Linear form

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

Answer

Correct Answer: 8

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41. If the plate thickness to span ratio is less than (1/10) then it is called as

Answer

Correct Answer: Thin plate with small deformation

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42. Axis-Symmetric element is

Answer

Correct Answer: Both 2D and 1D elements

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43. W, qx, and qy are considered in

Answer

Correct Answer: Mindlin element

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44. This form states the condition that must be met at every material point

Answer

Correct Answer: Strong Form

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45. The following method assumes trial functions only over an element.

Answer

Correct Answer: Finite Element Method.

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46. For constant strain triangle element, the shape function is

Answer

Correct Answer: N1+N2+N3=1

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47. Accuracy of solution in finite element can be increased by

Answer

Correct Answer: Using higher order element

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48. The shear deformation in plate is considered using following theory

Answer

Correct Answer: Mindlin Theory

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49. Which is not the characteristic of CST element

Answer

Correct Answer: The strain displacement matrix for CST element is a single term matrix

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50. As per the theory of thin plate with small deformation, The ratio of maximum deflection to thickness (S) should be

Answer

Correct Answer: S < (1/5)

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51. The variational principle corresponding to the weak form of elasticity is called as

Answer

Correct Answer: Theorem of minimum potential energy

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52. For CST element, if N1=0.3 and N2-0.2 what is the value of N3

Answer

Correct Answer: 0.5

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53. As per the theory of thin plate with small deflection, the ratio of thickness to span (R) should be

Answer

Correct Answer: R > (1/10)

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

Answer

Correct Answer: 4

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55. Which is not an example of a serendipity rectangular element?

Answer

Correct Answer: 9 noded element

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56. Number of shape functions in two noded beam element are

Answer

Correct Answer: 4

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57. Pascals Triangle is used for writing

Answer

Correct Answer: Displacement equation

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58. The degrees of freedom for regular flat shell elements are

Answer

Correct Answer: Three translations and three rotations

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59. Number of shape functions for 3D hexahedron element with nodes at corners only in natural coordinate system are

Answer

Correct Answer: 8

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60. In variational principles, which of the following quantities are to be used.

Answer

Correct Answer: Scalar

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61. Sum of the shape functions is

Answer

Correct Answer: Always 1

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62. The displacement function U for 1 dimensional two node linear element using standard notations in terms of shape function will be

Answer

Correct Answer: U equals to N1U1 plus N2U2

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63. When geometry nodes are greater than displacement nodes, it is known as

Answer

Correct Answer: Superparametric

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64. The art of subdividing a structure into a convenient number of smaller components in finite element analysis is known as

Answer

Correct Answer: Discretization.

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65. Stresses normal to the plate is neglected in

Answer

Correct Answer: Kirchhoff Theory

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66. If a domain is discretized into N linear 1-D elements, then the number of nodes will be

Answer

Correct Answer: N plus 1

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67. Stress -strain relationship matrix of axisymmetric element consists of terms related to

Answer

Correct Answer: Poisson's ratio and modulus of elasticity

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68. Why do we need a Jacobian matrix in the finite element method?

Answer

Correct Answer: The Jacobian matrix is required to map the natural coordinate system to the cartesian coordinate system.

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69. Number of shape functions in two noded bar element are

Answer

Correct Answer: 2

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70. Principle of the stationary value of the potential energy is also called as

Answer

Correct Answer: Principle of minimum potential energy

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71. For four noded serendipity elements which condition is true?

Answer

Correct Answer: Nodes at corner only

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72. When displacements and geometry nodes are equal, it is known as

Answer

Correct Answer: Isoparametric

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73. No of coefficients in an displacement function are equal to

Answer

Correct Answer: No. of nodes x dof per node

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74. The following methods assumes that trial functions over entire solution

Answer

Correct Answer: Rayleigh-Ritz method

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75. Pick the correct statement

Answer

Correct Answer: Flat shell elements are created by combining plane and bending plate elements.

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76. Isoparametric finite elements are based on the parametric definition of

Answer

Correct Answer: Both coordinate and displacement functions.

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77. Parent element of four noded Isoparametric quadrilateral element in natural coordinate system is

Answer

Correct Answer: Four noded rectangular element

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78. A natural mode of vibration represents …...............at each node

Answer

Correct Answer: Relative displacement

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79. When the inertia effect due to the mass of the component and externally applied load is considered,then the analysis is called as

Answer

Correct Answer: Dynamic analysis

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80. The load calculated for each element based on thermal expansion of that element is,

Answer

Correct Answer: A q α ΔT

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81. In finite element analysis, the procedure to do steady state thermal analysis is

Answer

Correct Answer: 1. Preprocessing 2. Post Processing 3. Solution

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82. When can we use axisymmetric governing equations?

Answer

Correct Answer: All the options are correct

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83. The rate of heat flow on conduction is given by Fourier's law as

Answer

Correct Answer: Q = -KA(dT) / dx

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84. LST element contains …........nodes

Answer

Correct Answer: 6

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85. How many frequencies are calculated for a 3-noded simply supported beam ?

Answer

Correct Answer: Four

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86. Identify the correct property of shape function

Answer

Correct Answer: Summation of all shape function inside the body is +1

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87. What does an interpolation function represent?

Answer

Correct Answer: Change in variable over an element

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88. FEA applied for long earth dam whose height and width are measurable in metres and length in kilometres and for long cylinders like tunnel

Answer

Correct Answer: Plane strain

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89. The condition of FEA which is characterised by very small dimensions in one of the normal directions is called as

Answer

Correct Answer: Plane stress

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90. Variational principle is the basis for

Answer

Correct Answer: Displacement method

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91. Heat transfer problem depends on

Answer

Correct Answer: All

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92. The equation for Principle of Minimum Potential Energy is expressed as

Answer

Correct Answer: [K]{U}={F}

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93. If the function used to define the geometry of an element and the functions used to define the field variables of an element is same then such element are called as

Answer

Correct Answer: Isoparametric element

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

Answer

Correct Answer: Strain energy - Work potential

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95. In 1D steady state problems, at x = x0, T = T0 is a

Answer

Correct Answer: Forced boundary condition

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96. The isoparametric representation of finite elements is defined as element geometry and displacements are represented by the same set of shape functions.

Answer

Correct Answer: Yes

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97. Principal stresses and their directions are calculated by using ____

Answer

Correct Answer: Mohr’s circle method

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98. In the equation KQ=F, K is called as ____

Answer

Correct Answer: Modified stiffness matrix

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99. A1 is the first area and N1 is its shape function then shape function N1= ___

Answer

Correct Answer: A1/A

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100. In particular, N1+N2+N3 represent a plane at a height of one at nodes ______

Answer

Correct Answer: All of the above

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101. Finite element method uses the concept of shape functions in systematically developing the interpolations.

Answer

Correct Answer: TRUE

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102. The position of the interface nodes is set at ____________ from the vertices

Answer

Correct Answer: Li/2n

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103. There are ________ simplest element types for 3D elements.

Answer

Correct Answer: 2

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