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
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Correct Answer:
Hourglassing
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2. In numerical mathematics, the constant strain triangle element, also known as the ?
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Correct Answer:
Both A and B
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3. Gauss points are also the points used for numerical evaluation of _____
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Correct Answer:
E^k
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4. For degenerate four noded quadrilateral element the errors are _____
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Correct Answer:
Higher
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5. For quadrilaterals with 2X2 integration gives _____ sets of stress values.
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Correct Answer:
4
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6. The stresses in the quadratic element are not ______
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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.
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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.
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Correct Answer:
TRUE
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9. ______________ is a historical mathematical term that means calculating area
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Correct Answer:
Quadrature
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10. The term "numerical integration" first appears in ?
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Correct Answer:
1915
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11. Numerical integration comprises a broad family of algorithms for calculating the numerical value of a?
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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?
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Correct Answer:
Integration point
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13. The strain-stress relation for orthotropic linear elastic materials can be written in Voigt notation.
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Correct Answer:
TRUE
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14. When an orthotropic plate is loaded parallel to its material axes, it results only _____
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Correct Answer:
Normal strains
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15. E1 value of Balsa wood is ___
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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 ______.
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Correct Answer:
2- direction and 1- direction
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17. The principal material axes that are normal to the _______
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Correct Answer:
Plane of symmetry
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18. Unidirectional fibre- reinforced composites also exhibit _______ behaviour.
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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
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Correct Answer:
TRUE
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20. How many orthogonal symmetry planes does orthotropic material have?
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Correct Answer:
3
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21. A familiar example of an orthotropic material is?
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Correct Answer:
Wood
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22. Which materials are special orthotropic materials that have one axis of symmetry?
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Correct Answer:
Transversely isotropic
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23. Using elementary row operations, a matrix can always be transformed into an upper triangular matrix.
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Correct Answer:
TRUE
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24. Frontal method is a _______ of Gaussian elimination method that uses the structure of finite element problem.
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Correct Answer:
Variation
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25. A banded matrix is defined as ____________
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Correct Answer:
Non zero elements are contained in band
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26. Step number in Gaussian elimination is denoted as ___________
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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 _________.
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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
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Correct Answer:
TRUE
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29. Using row operations to convert a matrix into reduced row echelon form is sometimes called?
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Correct Answer:
Gauss–Jordan elimination
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30. How many types of elementary row operations?
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Correct Answer:
3
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31. Gaussian elimination method can also be used to find the ?
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Correct Answer:
All of the above
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32. Gaussian elimination, also known as?
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Row reduction
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33. A (A^-1)=(A^-1)A is a condition for ________
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Correct Answer:
Matrix inversion
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34. Which of the following properties define a singular matrix?
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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 ________
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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.
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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.
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Correct Answer:
FALSE
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38. If you want to add two matrices, their dimensions must be exactly the same.
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Correct Answer:
TRUE
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39. A diagonal matrix with zeros as elements except for the diagonal, which was once known as?
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Correct Answer:
Identity matrix
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40. Dimensions are also called?
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Correct Answer:
Order
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41. ____________ is used in statistics to express collections of data.
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Correct Answer:
Matrix algebra
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42. A matrix is a rectangular array of numbers arranged into?
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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.
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Correct Answer:
Post processing
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44. The equation for thermal stress in each element is ________.
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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.
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Correct Answer:
10000
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46. As per the penalty approach, the equation of reaction force is _____.
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Correct Answer:
R = -C (Q-a)
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47. The strain energy per unit volume is equal to _________.
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Correct Answer:
(1/2) * Force * Deflection
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48. The total potential energy of an elastic body is defined as _______.
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Correct Answer:
Strain energy + Work potential
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49. In truss analysis, the reactions can be found by using the equation ______.
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Correct Answer:
R=KQ-F
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50. Elements with an aspect ratio of near to ______ generally yield best results in FEA.
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Correct Answer:
1
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51. In FEA, the use of smaller-sized elements will lead to _______ computation time
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Correct Answer:
More
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52. If the size of the elements is small, the final solution is expected to be ______ accurate.
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Correct Answer:
More
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53. How many nodes are there in a tetrahedron with curved sides?
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Correct Answer:
10
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54. How many nodes are there in a hexahedron element?
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Correct Answer:
8
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55. How many nodes are there in a tetrahedron element?
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Correct Answer:
4
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56. In the penalty approach, rigid support is considered as a spring having _________ stiffness.
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Correct Answer:
Infinite
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57. Crack propagation problems come under _______ category.
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Correct Answer:
Transient problems
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58. In the FEA of a fluid mechanics problem, we need to find _______.
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Correct Answer:
Pressure distribution
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59. For thermal analysis, the field variable is _________.
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Correct Answer:
Temperature
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60. Which of the following modules of FEA is used to determine natural frequency?
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Correct Answer:
Modal analysis
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61. Which of the following is not an FEA package?
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Correct Answer:
AutoCAD
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62. The actual thickness of the plane strain element is ________.
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Correct Answer:
Very large
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63. Which of the following is true for the stiffness matrix (K)?
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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 __________ .
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Correct Answer:
The minimum potential energy principle
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65. The applications of the finite element method in two-dimensional analyses are __________.
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Correct Answer:
Axisymmetric shells
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66. The points in the entire structure are defined using the coordinate system known as ___________.
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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 ________.
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Correct Answer:
Plane stress
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68. _________ are used to express the geometry or shape of the element.
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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.
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Correct Answer:
Aspect ratio
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70. Which of the following is not a method for calculation of the stiffness matrix?
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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 _____.
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Correct Answer:
Modules
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72. The finite element methods can be applied in ____________areas.
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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 _______.
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Correct Answer:
3
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74. _______ is the phase/s of the finite element method.
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Correct Answer:
All of the mentioned
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75. Axis-Symmetric element is______________Element
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Correct Answer:
2D
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76. From below, choose the correct condition for the axisymmetric element.
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Correct Answer:
All of the mentioned
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77. How many nodes are there in a 3-D brick element?
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Correct Answer:
8
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78. The determinant of an element stiffness matrix is always
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Correct Answer:
0
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79. Example for one – Dimensional element is ___________ .
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Correct Answer:
Truss element
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80. The truss element can deform only in the
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Correct Answer:
Axial direction
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81. The truss element can resist only
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Correct Answer:
Axial force
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82. The nature of loading at various locations and other surfaces conditions called
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Correct Answer:
Boundary condition
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83. To find the nodal displacements in all parts of the element, ______are used.
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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 ___________ .
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Correct Answer:
Triangle
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86. Stiffness matrix depends on
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Correct Answer:
Material and geometry
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87. Finite element analysis deals with ___________ .
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Correct Answer:
Approximate numerical solution
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88. The numbers of node for 1 D element are
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Correct Answer:
2
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89. In FEA, the sub domains are called as ___________.
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Correct Answer:
Elements
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90. At fixed support, the displacements are equal to
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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 ___________ .
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Correct Answer:
Degrees of freedom
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94. A triangular plane stress element has how many degrees of freedom?
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Correct Answer:
6
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95. The sum of the shape function is equal to
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Correct Answer:
1
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96. The art of subdividing the structure into a convenient number of smaller elements is known as ___________.
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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
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Correct Answer:
Finite elements
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98. For truss analysis, which type of elements are used?
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Correct Answer:
Bar
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99. From the following, which type of element is not three dimensional?
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Correct Answer:
Quadrilateral
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100. From the following, which type of element is not two dimensional?
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Correct Answer:
Tetrahedron
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