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GATE Prev Year : Machine Design Test-1
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Question 1
For a spring-loaded roller-follower driven with a disc cam,
Question 2
A rotating steel shaft is supported at the ends. It is subjected to a point load at the center. The maximum bending stress developed is 100 MPa. If the yield, ultimate and corrected endurance strength of the shaft material are 300 MPa, 500 MPa and 200 MPa, respectively, then the factor of safety for the shaft is ________
Question 3
In a rolling process, sheet of 25 mm thickness is rolled to 20 mm thickness. Roll is of diameter 600 mm and it rotates at 100 rpm. The roll strip contact length will be
Question 4
A steel bolt having a nominal diameter of 20 mm and a pitch of 2.4 mm is used to connect two plates of 10 mm thickness each. An aluminium tube of inner diameter 22 mm and outer diameter of 40 mm is separating the plates as shown in figure. The nut is pulled snug (just tight) and then given a one-third additional turn. Find the resulting stresses in the bolt and the tube neglecting the deformation of the plates. Young’s modulus of steel and aluminium are 207 × 103 MPa and 67.5 ×103 MPa respectively.
Question 5
If N1, N2 and N3 are number of teeth in each gear and n1, n2, n3 and n4 as gear speed in rpm, then calculated the arm speed when n2 is 50 cw. It is noted that number of teeth of Sun gear be 14 and Planet gear be 21.
Question 6
The two shafts AB and BC, of equal length and diameters d and 2d, are made of the same material. They are joined at B through a shaft coupling, while the ends A and C are built-in (cantilevered). A twisting moment T is applied to the coupling. If TA and TC represent the twisting moments at the ends A and C, respectively, then
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