1. What is the reason for an element in the Serendipity family to have a smaller size of stiffness matrix compare to a similar element in the Lagrange family?
Answer
Correct Answer:
Third-order Lagrange element has fifteen nodes
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2. Which nodes of the higher-order elements of the Lagrange family do not contribute to the inter-element connectivity?
Answer
Correct Answer:
Interior nodes
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3. What is the number of nodes present on the boundary of the Lagrange quadratic rectangular element used in FEM?
Answer
Correct Answer:
8
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4. Which option is not correct about the Lagrange rectangular element used in FEM?
Answer
Correct Answer:
Third-order Lagrange element has fifteen nodes
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5. In FEM, what are the elements in which the same shape functions describe the geometry and field displacement variables?
Answer
Correct Answer:
Iso-parametric
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6. In FEM, which option is used to develop the Higher-order rectangular elements (i.e., rectangular elements with interpolation functions of higher degree) systematically?
Answer
Correct Answer:
A rectangular array of binomial coefficients
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7. In FEM, what is the name of the shape function of an Euler-Bernoulli beam element?
Answer
Correct Answer:
Hermite cubic interpolation function
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8. In FEM, what is the name of the element specified by a polynomial of order two or more?
Answer
Correct Answer:
Higher-order element
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9. If the geometry and other parameters of an element are defined in terms of only one spatial coordinate, then the element is a one-dimensional element?
Answer
Correct Answer:
True
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10. In the FEM element library, what is the correct name for a three noded triangular element?
Answer
Correct Answer:
Constant strain triangular element
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11. In the FEM element library, what is the correct name for a six noded triangular element?
Answer
Correct Answer:
Linear strain triangular element
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12. In the FEM element library, an eight noded quadrilateral element belongs to which family?
Answer
Correct Answer:
Serendipity
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13. In the FEM element library, what is the other name of a higher-order element?
Answer
Correct Answer:
Complex element
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14. Which option is not correct about the four-noded rectangular plane stress element used in FEM?
Answer
Correct Answer:
Its Delaunay triangulation is unique
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15. Concerning triangular elements in FEM, which option is not correct about the mathematical formula of Pascal’s triangle?
Answer
Correct Answer:
A triangular element of order 2 corresponds to the second row
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16. In FEM, What is the number of displacement polynomials necessary for finding displacements in a linear triangular element?
Answer
Correct Answer:
2
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17. In FEM, which option is used to develop the Higher-order triangular elements (i.e. triangular elements with interpolation functions of higher degree) systematically?
Answer
Correct Answer:
Pascal’s triangle
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18. Which option is not correct about the three-noded triangular plane stress (linear) element used in FEM?
Answer
Correct Answer:
It can be improved by the addition of internal degrees of freedom
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19. Which of the following equations give the relation between material properties like modulus of elasticity (E), modulus of rigidity (G), and Poisson’s ratio (u)?
Answer
Correct Answer:
E = 2*G*(1+u)
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20. Traction is force acting on an area in any direction other than normal.
Answer
Correct Answer:
True
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21. Which of the following boundary conditions cannot be directly applied on solid elements?
Answer
Correct Answer:
Torque
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22. Which of the following conditions must be fulfilled to apply symmetry in a finite element model?
Answer
Correct Answer:
Geometry of the model is symmetric and boundary conditions to be applied are symmetric
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23. Which of the following is the correct equation for stiffness (K) of an element given value of force (F) and displacement (Q)?
Answer
Correct Answer:
KQ=F
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24. Boundary conditions are applied to simulate the physical constraints on the finite element model.
Answer
Correct Answer:
True
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25. Symmetry in application of boundary conditions should be avoided in which of the following types of analysis?
Answer
Correct Answer:
Modal analysis
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26. For a taper beam element two cross sections are necessary to define the geometry.
Answer
Correct Answer:
True
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27. The application of force at which of the following points on a beam will nullify the effect of torsion?
Answer
Correct Answer:
Shear centre
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28. Three geometrically identical beams made out of steel, aluminium, and titanium are axially loaded. Which of are the following statements correct?
Answer
Correct Answer:
Stress in all three beams is the sam
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29. Which of the following is not a one dimensional element?
Answer
Correct Answer:
Brick
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30. In the Galerkin method we convert a continuous operator problem into a discrete problem.
Answer
Correct Answer:
True
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31. Which of the following statements is correct?
Answer
Correct Answer:
Stiffness coefficient value for numerical solution is greater than the value of exact solution
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32. In beam elements the cross section of the element is assumed.
Answer
Correct Answer:
True
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33. The shape functions for interpolation on beam elements are defined on the range of ________
Answer
Correct Answer:
-1 to +1
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34. The displacements in beam elements are interpolated using _______
Answer
Correct Answer:
Shape functions
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35. The total number of degrees of freedom in a beam with four nodes is ______
Answer
Correct Answer:
Eight
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36. Beams are horizontal members used for supporting transverse loading.
Answer
Correct Answer:
True
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37. During finite element formulation of beam each node has _______ degrees of freedom.
Answer
Correct Answer:
Two
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38. In a nine node quadrilateral, the shape functions can be defined as _______
Answer
Correct Answer:
Generic shape functions
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39. The gauss points for a triangular region differ from the _____ region.
Answer
Correct Answer:
Square
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40. The nodal temperature load can be evaluated by using _____
Answer
Correct Answer:
Numerical integration
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41. The mid node should not be outside of the triangular element this condition should ensures that det J does not attain a value ____
Answer
Correct Answer:
Zero
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42. In six node triangular element, the gauss points of a triangular element can be defined by ____
Answer
Correct Answer:
One point rule
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43. Six node triangular elements is also known as _____
Answer
Correct Answer:
Quadratic triangle
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44. Eight-Node Quadrilateral. This element belongs to the ________ family of elements.
Answer
Correct Answer:
Serendipity
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45. A _________ element by using a nine-node shape function.
Answer
Correct Answer:
Sub parametric
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46. In the four-node quadrilateral element, the shape functions contained terms _________
Answer
Correct Answer:
ξ
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47. Gauss points are also the points used for numerical evaluation of _____ Surfaces
Answer
Correct Answer:
E
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48. For degenerate four noded quadrilateral element the errors are _____
Answer
Correct Answer:
Higher
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49. For quadrilaterals with 2X2 integration gives _____ sets of stress values.
Answer
Correct Answer:
Four
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50. The stresses are evaluated at the __________
Answer
Correct Answer:
Gauss points
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51. The stresses in the quadratic element are not ______
Answer
Correct Answer:
Constant
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52. Shape functions are linear functions along the _____
Answer
Correct Answer:
Edges
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53. For four noded quadrilateral element, the global load vector can be determined by considering the body force term in _____
Answer
Correct Answer:
Potential energy
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54. The stiffness matrix from the quadrilateral element can be derived from _____
Answer
Correct Answer:
Strain energy
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55. The master element is defined in ______
Answer
Correct Answer:
Natural coordinates
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56. For a four noded quadrilateral, we define shape functions on _____
Answer
Correct Answer:
Master element
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57. In two dimensional isoparametric elements, we can generate element stiffness matrix by using ____
Answer
Correct Answer:
Numerical integration
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58. Increasing the number of nodes in coarse mesh regions where stress variations are high, should give better results. This method is called _____
Answer
Correct Answer:
Convergence
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59. Coarser meshes are recommended for _____
Answer
Correct Answer:
Initial trails
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60. The _____ can be obtained even with coarser meshes by plotting and extrapolating.
Answer
Correct Answer:
Maximum stresses
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61. The Constant strain triangle can give____ stresses on elements.
Answer
Correct Answer:
Constant
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62. Stresses can be change widely at ____
Answer
Correct Answer:
Notches and fillets
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63. In dividing the elements a good practice may be to choose corner angles in the range of ____
Answer
Correct Answer:
30-120°
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64. When dividing an area into triangles, avoid large _____
Answer
Correct Answer:
Aspect ratios
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65. Boundary conditions can be easily considered by using _______
Answer
Correct Answer:
Penalty approach method
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66. For a circular pipe under internal or external pressure, by symmetry all points move _____
Answer
Correct Answer:
Radially
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67. In deformation of the body, the symmetry of ______ and symmetry of ____ can be used effectively.
Answer
Correct Answer:
Geometry and loading
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68. Finite element method is used for computing _____ and _____
Answer
Correct Answer:
Displacement and strain
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69. I the distribution of the change in temperature ΔT, the strain due to this change is ____
Answer
Correct Answer:
Initial strain
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70. Principal stresses and their directions are calculated by using ____
Answer
Correct Answer:
Mohr’s circle method
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71. In the equation KQ=F, K is called as ____
Answer
Correct Answer:
Modified stiffness matrix
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72. For plane stress or plane strain, the element stiffness matrix can be obtained by taking _____
Answer
Correct Answer:
Material property matrix, D
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73. The equation u=Nq is a _____ representation.
Answer
Correct Answer:
Isoparametric
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74. The shape functions are physically represented by _____
Answer
Correct Answer:
Area coordinates
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75. In two dimensional problems x-, y- coordinates are mapped onto ____
Answer
Correct Answer:
ξ-η-Co-ordinates
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76. In particular, N 1+N 2 +N 3 represent a plane at a height of one at nodes ______
Answer
Correct Answer:
One, two and three
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77. Linear combination of these shape functions represents a ______
Answer
Correct Answer:
Plane surface
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78. For constant strain elements the shape functions are ____
Answer
Correct Answer:
Linear
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79. Finite element method uses the concept of _____
Answer
Correct Answer:
Shape functions
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80. The information of array of size and number of elements and nodes per element can be seen in ___
Answer
Correct Answer:
Element connectivity table
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81. In two dimensional modelling each node has ____ degrees of freedom.
Answer
Correct Answer:
Two
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82. The finite element method is used to solve the problem ______
Answer
Correct Answer:
Approximately
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83. Each triangle formed by three nodes and three sides is called a ______
Answer
Correct Answer:
Element
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84. In 2D elements. Discretization can be done. The points where triangular elements meet are called ____
Answer
Correct Answer:
Nodes
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85. The details of a skyline assembly matrix are implemented in a program called ____
Answer
Correct Answer:
Trussky program
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86. The second step in skyline approach is assembling the element stiffness values into _____
Answer
Correct Answer:
Column vector
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87. The first step of skyline assembly matrix involves evaluation of ____
Answer
Correct Answer:
Column height
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88. In Skyline matrix, the elements in a stiffness matrix can be placed in _______
Answer
Correct Answer:
Vector form
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89. In a banded matrix, elements are _____ placed in the stiffness matrix.
Answer
Correct Answer:
Directly
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90. Which of these was one of the methods for determining assembly of the global stiffness matrix?
Answer
Correct Answer:
Skyline approach
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91. Symmetry and sparsity of the global stiffness matrix can be approached by _____ methods.
Answer
Correct Answer:
Two
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