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BARC 2019: SOM Nuclear Quiz-1

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Question 1

Find the vertical reaction at the point A as shown in figure.

Question 2

A thin spherical shell of 350 mm diameter, having a thickness of metal 10 mm, is filled with a fluid at atmospheric pressure. If an additional 6500 mm3 of fluid is pumped into cylinder, the pressure exerted by the fluid on the wall of sphere is (take modulus of elasticity = 200 GPa and Poisson’s ratio = 0.25)

Question 3

The bending moment (in kN-m) of the following 5 mm thickness rectangular tube section of an alloy whose ultimate stress is 414 MPa is (assume, factor of safety = 3, E = 60 GPa __________.

Question 4

A semicircular arc of radius 1 m which one end is hinged and other end is on rollers. The roller end is pulled with a horizontal force P. The horizontal movement of roller end is (where, EI is flexural rigidity of arc material)

Question 5

A cantilever beam AB of triangular section has length L, base width B and height h, the beam is made up of brass having unit weight τ kN/m3. The maximum compressive stress induced is

Question 6

For the given cantilever beam of length 4 m, flexural rigidity is 80000 kN/m2. The intensity of uniformly distributed load ‘w’ is 15 kN/m. Gap between beam and support D at no loading condition is 5.8 mm. The reaction at support D at loading condition will be __________.

Question 7

A prismatic bar held between the two supports is heated above ambient by 30. Elastic Modulus of the material is 150 GPa and coefficient of linear expansion is 15×10-6. Find the final stress in the bar if there exists 10MPa of compressive stresses due to manufacturing defects at the ambient temperature.

Question 8

The state of stress is showing as a particular point in a stressed body. The diameter of the Mohr’s circle for this state of stress is.

Question 9

A steel cube contracted on all six faces is heated so that the temperature rises uniformly by 40 ºC. If the thermal coefficient of the steel is, Young’s modulus is 210GPa and the Poisson’s ratio is 0.28, the thermal stress developed in the cube due to heating is

Question 10

A tensile load of 50kN is gradually applied to a circular bar of 4cm diameter and 4m long. If the value of E= 2×105 N/mm2. Determine the strain energy absorbed by the rod.
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