GATE ME topic:machine-design PYQs & Answers — Page 3

Questions 21–30 of 43. Imported answers require independent review unless marked reviewed.

A machine member is subjected to fluctuating stress

. The endurance limit of the material is 350 MPa. If the factor of safety used in the design is 3.5 then the maximum allowable value of

is __________ MPa (round off to 2 decimal places).

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A helical spring has spring constant

. If the wire diameter, spring diameter and the number of coils are all doubled then the spring constant of the new spring becomes

Your answerChoose one option.

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In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F₁ is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F₂ when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch, and the coefficient of friction does not change, then the ratio F₁/F₂ is ______ (round off to 2 decimal places).

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A rectangular steel bar of length 500 mm, width 100 mm, and thickness 15 mm is cantilevered to a 200 mm steel channel using 4 bolts, as shown.

Diagram for Mechanical Engineering question 39

For an external load of 10 kN applied at the tip of the steel bar, the resultant shear load on the bolt at B, is ______ kN (round off to one decimal place).

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A steel spur pinion has a module (

) of 1.25 mm, 20 teeth and 20° pressure angle. The pinion rotates at 1200 rpm and transmits power to a 60 teeth gear. The face width (

) is 50 mm, Lewis form factor

and a dynamic factor

. The bending stress (

) induced in a tooth can be calculated by using the Lewis formula given below.

If the maximum bending stress experienced by the pinion is 400 MPa, the power transmitted is ______ kW (round off to one decimal place).

Lewis formula:

, where

is the tangential load acting on the pinion.

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A spur gear with 20° full depth teeth is transmitting 20 kW at 200 rad/s. The pitch circle diameter of the gear is 100 mm. The magnitude of the force applied on the gear in the radial direction is

Your answerChoose one option.

0.36 kN

0.73 kN

1.39 kN

2.78 kN

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A spur gear has pitch circle diameter

and number of teeth

. The circular pitch of the gear is

Your answerChoose one option.

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Endurance limit of a beam subjected to pure bending decreases with

Your answerChoose one option.

decrease in the surface roughness and decrease in the size of the beam

increase in the surface roughness and decrease in the size of the beam

increase in the surface roughness and increase in the size of the beam

decrease in the surface roughness and increase in the size of the beam

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A short shoe external drum brake is shown in the figure. The diameter of the brake drum is 500 mm. The dimensions

and

. The coefficient of friction between the drum and the shoe is 0.35. The force applied on the lever

as shown in the figure. The drum is rotating anti-clockwise. The braking torque on the drum is ______ N·m (round off to two decimal places).

Diagram for Mechanical Engineering question 42

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A single block brake with a short shoe and torque capacity of 250 N·m is shown. The cylindrical brake drum rotates anticlockwise at 100 rpm and the coefficient of friction is 0.25. The value of

, in mm (round off to one decimal place), such that the maximum actuating force

is 2000 N, is ______.

Diagram for Mechanical Engineering question 44

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GATE ME topic:machine-design PYQs

Question 21

Question 31

Question 37

Question 39

Question 41

Question 7

Question 7

Question 8

Question 42

Question 44