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GATE 2019:Machine Design Rapid Revision Quiz (App update required to attempt this test)

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Question 1

A shaft made up of mild steel is subjected to bending moment of 300Nm and torque of 400Nm. The equivalent bending moment considering Maximum Normal stress theory (in Nm) is

Question 2

If the wire diameter of a compressive helical spring is increased by 2% the change in spring stiffness (in %) is __________ (correct to two decimal places)

Question 3

In a full journal bearing, radial clearance is 0.03 mm. The eccentricity ratio is 0.27. Find the minimum film thickness in mm

Question 4

The tension in the tight side of the belt is 2400N while that in the slack side is 1500N. If the length of the belt is 3m and thickness is 4.5mm, what will be the elongation in tight side of the belt.

Question 5

Maximum power transmission is achieved in case of a belt drive. The pulley has a speed of 150rpm. What would be the initial tension in the belt if tension in tight side is 2450 N.

Question 6

A single – plate clutch has a friction disc with inner and outer radii of 20 mm and 40 mm, respectively. The friction lining in the disc is made in such a way that the coefficient of friction mvaries radially as m=0.01 r, where r is in mm. The clutch needs to transmit a friction torque of 18.85 kN.mm. As per uniform pressure theory, the pressure (in MPa) on the disc is ________

Question 7

A bracket is fastened to the roof truss by means of two identical bolts as shown in figure. If the permissible tensile stress in the bolts is 70 MPa then the diameter of the bolt (in mm) is

Question 8

A circular shaft 60 mm in diameter, is welded to a support by means of fillet weld as shown below:

If permissible shear stress in the weld is limited to 100 MPa then the fillet size (in mm) is

Question 9

The schematic of an external drum rotating clockwise engaging with a short shoe is shown in the figure. The shoe is mounted at point Y on a rigid lever XYZ hinged at point X. A force F = 100 N is applied at the free end of the lever as shown. Given that the coefficient of friction between the shoe and the drum is 0.3, the braking torque (in Nm) applied on the drum is ____________ (correct to two decimal places).

Question 10

A machine uses Self-contained Bearing to support the shaft. If the surrounding temperature is 30℃ and the mean avg. oil temperature is 145℃, determine the operating temperature of the bearing?

Question 11

Calculate the rate of heat dissipation of a bearing, if it has a rubbing velocity of 1.57 m/s. The bearing is 80mm in length. Viscosity of this oil at the oil temperature of 50℃ is 0.050kg/ms. The temperature of the bearing is 85℃ and surrounding temperature is 30℃, assume energy dissipation coefficient to be 209.34 W/m²℃ and speed of journal is 600RPM.

Question 12

Determine the wire diameter (d) and mean diameter (D) for a helical spring using the Bergstrӓsser factor (KB), where: F = 595 N; C = 8; τ_max = 355 MPa; = 3.55 × 10⁸ N/m²

Question 13

A 20 full depth involute system have a pinion of diameter 300 mm and number of teeth on pinion is 60. If the length of line of action is 20 mm, then the contact ratio is _______.

Question 14

The drum of a simple band brake at 400 rpm. The drum has a radius of 1m and the wrap angle of the band is 270⁰. If 30 kW power is to be absorbed then the maximum tension in the band is ____ N.
[Take μ= 0.2]

Question 15

A single block brake with a 300 mm diameter brake shown in the figure is used to absorb a torque of 75 N-m. The coefficient of friction between the drum and the lining is 0.35. The pressure on the block is uniform. The applied force P is _____ N.

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ESE & GATE ME Machine Design

Oct 9ESE & GATE ME