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BARC 2020 : SOM Nuclear Quiz 4

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Question 1

A Hollow shaft of outer diameter 80 mm and inner diameter of 40 mm is to be replaced by a solid shaft to transmit the same torque at the same maximum stress. The diameter of solid shaft should be ____ mm.

Question 2

The ratio of power transmission capacities of a solid and hollow circular shaft when they are rotating at the same rpm. Given that material, weight and length are same for both the shafts and k is the ratio of inner to outer diameter of the hollow shaft.

Question 3

A point mass of 100 kg is dropped onto a massless elastic bar (cross-sectional area length = 1m, Young’s moduls = 100 GPa) from a height H of 10mm as shown (Figure is not to scale). If , the maximum compression of the elastic bar is _______ mm.

Question 4

For the rod as shown in figure, the factor of safety according to maximum distortion energy theory is
Assume Syt = 200 MPa, Sut = 400 MPa, μ = 0.3

Question 5

A steel tube having outside and inside diameter of 100 mm and 60 mm respectively is bent in to the form of a quadrant of 2 m radius as shown in figure. The vertical deflection of the free under this load [Given E = 200 GPa]
Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image129.png

Question 6

The figure shows a state of plane stress. If the minimum principal stress is –7 MPa, then what is the value of σ?

Question 7

At point in a body stresses developed are such that σx= 140 MPa and σy = 60 MPa and the major principle stress is 150 MPa. What is the magnitude of max in-plane shear stress __________ (in MPa).

Question 8

Match the following criteria of material failure, under biaxial stresses ï1 and ï2 and yield stress ïy, with their corresponding graphic representations:
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2011_files\image044.png

Question 9

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 .

Question 10

Given blocks are acted by ∆T = 50ºC
For steels, Es = 200GPa , Ds = 75mm , α = 11.7 x 10-6 / ºC
For copper , Ec = 70GPa , Ds = 50 mm , α = 21.6 x 10-6 / ºC

Find thermal stress on copper ___________?

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