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BARC 2019: SOM Nuclear Quiz-2

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Question 1

A thin cylinder of internal diameter 0.55m contains air at a pressure of 7 N/mm2 If the maximum permissible stress is 75N/mm2, find the thickness of the cylinder_______.

Question 2

A beam of length 5m is simply supported at its ends and carries a point load of 50kN at a distance of 4m from left support. Find the deflection under the load. Given, MOI. =7.33×107mm4, &  E= 2×105N/mm2 .

Question 3

A solid steel bar having diameter 40mm and 1.5m length is subjected to a torque of 375Nm. If the allowable shear stress is 50MPa and the allowable angle of twist is 2.5 degrees. What are the values of maximum permissible torque according to strength criteria?

Question 4

For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is M(x)=5x2+10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x=10 mm is ___.

Question 5

A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The vertical deflection at point A due to the applied load P is
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Question 6

A conical cantilever beam with base radius D with load of P Newton at one end. What is the deflection at the midpoint the beam? [Modulus of elasticity = E, Length of the beam = L]

Question 7

The principal tensile stresses at a point across two perpendicular planes are 60 N/mm2 and 30 N/mm2. The resultant stress and its obliquity on a plane at 25 with the major principal plane respectively are (take Poisson’s ratio is 0.25)

Question 8

A column ABCD of rectangular section is subjected to an eccentric load marked x as shown in the figure.

Under the compressive load ,the direct stress is 400 MPa and the bending stresses are

ffσxx=(+-)1200 MPa

ffσyy=(+-)800MPa

The stress at corner A in MPa will be

Question 9

A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment is applied at a distance of 100 mm from end P. The torsional reactions in Nm at the ends P and Q respectively are

Question 10

Find the total extension in the stepped bar with an axial tensile load of 50 kN and having varying length of 2m, 3m, 5m and area of 200mm2, 250mm2 and 300 mm2 as shown in given figure. E= 2×10N/ mm2 .
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