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Finite Element Method
Finite Element Method Multiple Choice
Quiz 1
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Q.1
For A1=A2=A3=what is the value of the shape function at node 1 of the element shown?
a) 0.15
b) 0.5
c) 0.35
d) 0.25
Q.2
In a solid of revolution, if the geometry, support conditions, loads, and material properties are all symmetric about the axis and are independent of θ, then the problem can be treated as a ____
a) two-dimensional one
b) one-dimensional one
c) three-dimensional one
d) plane strain
Q.3
In a static structural type Boundary Value Problem, at any fixed support, How many non-zero Degrees Of Freedom exist?
a) 0
b) 1
c) 2
d) 3
Q.4
In a static structural type Boundary Value Problem, at any roller support, How many non-zero Degrees Of Freedom exist?
a) 0
b) 1
c) 2
d) 3
Q.5
In a static structural type Boundary Value Problem, at any hinged support, How many non-zero Degrees Of Freedom exist?
a) 0
b) 1
c) 2
d) 3
Q.6
For a linear triangular element with (xi, yi) as the coordinates of the ith node of the element, which option denotes twice the Area of the triangle?
a) (x1y2 − x2y1) + (x2y3 − x3y2) + (x3y1 − x1y3)
b) (x1y2 – x3y1) + (x2y3 – x1y2) + (x3y1 – x2y3)
c) (x1y2 − x2y1) + (x2y3 − x3y2)
d) (x1y1 − x2y2) + (x2y2 − x3y3) + (x3y3 − x1y1)
Q.7
For a linear triangular element with (xi, yi) as the coordinates of the ith node of the element the area=10units, the value of ∑αi from the standard relation αi+βiX+γiY=(2/3)*Area where X=∑xi, Y=∑yi is ___
a) 10
b) 20
c) 30
d) 40
Q.8
For a linear triangular element with (xi, yi) as the coordinates of the ith node of the element the area=10units, the value of ∑βi from the standard relation αi+βiX+γiY=(2/3)*Area where X=∑xi, Y=∑yi is ___
a) 0
b) 10
c) 20
d) 30
Q.9
In aaxisymmetric solid, because of symmetry about the longitudinal axis, the stresses do not vary along ___ coordinate.
a) x
b) y
c) z
d) θ
Q.10
For a linear triangular element with (xi, yi) as the coordinates of the ith node of the element the area=10units, the value of ∑γi from the standard relation αi+βiX+γiY=(2/3)*Area where X=∑xi, Y=∑yi is ___
a) 0
b) 10
c) 20
d) 30
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