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GATE Mechanical (ME) Machine Design - 2 Free Online Test 2026


MCQ Practice Test & Solutions: Machine Design - 2 (20 Questions)

You can prepare effectively for Mechanical Engineering GATE Mechanical (ME) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Machine Design - 2". These 20 questions have been designed by the experts with the latest curriculum of Mechanical Engineering 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 60 minutes
  • - Number of Questions: 20

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Machine Design - 2 - Question 1

A simply supported shaft of diameter 50 mm and length 2 m is supported to a load of 2.5 kN at its centre. The material of the shaft is brittle with an ultimate tensile strength of 300 MPa and theoretical stress concentration factor is 161. The maximum stress developed in the shaft is _________ MPa.

Detailed Solution: Question 1

Machine Design - 2 - Question 2

A full journal bearing has a normal diameter of 50 mm and a bearing length of 25 mm. The bearing supports a load of 3000 N and the speed of the journal is 3000 rpm, and the radial clearance specified as 0.04 mm. SAE 10 oil has been chosen at 60°C temperature. The viscosity is 0.014 pa-s. Determine the Sommerfeld number.

Machine Design - 2 - Question 3

Determine the length of the flat key (in mm), which is fitted on 80 mm diameter shaft, and the crosssection of the key is 16 × 10 mm. the key is transmitting 500 N-m torque from the shaft to the hub. Assume factor of safety is 3 and is made of commercial steel ( σ yt= σ yc = 230 MPa ) . Use distortion energy theory.

Machine Design - 2 - Question 4

An automotive plate clutch consists of two pairs of contracting surfaces with an asbestos friction lining. The torque transmitting capacity of the clutch is 600 N-m. The permissible intensity of the pressure is 1 MPa, coefficient of friction is 0.3, and outer diameter of friction disc is 300 mm. Determine the inner diameter of the friction disc using uniform wear theory.

Machine Design - 2 - Question 5

Car mass is 1400 kg and assume 65% of the car weight is loaded on to the front axle during rapid breaking. A car undergoes with an emergency stop form 96 km/hr. Determine the energy absorbed by one brake.

Detailed Solution: Question 5

W = mg

Wfront = 0.65 ×1400 × 9.81

Wfront = 8927 N

Each wheel carrying weight is

Machine Design - 2 - Question 6

The body is subjected to three mutually perpendicular stresses, orthogonal to each other as shown in the figure. Determine the strain energy for producing only volume change. Take E = 207 GPa, ∪ = 0.25

Detailed Solution: Question 6

Machine Design - 2 - Question 7

Distortion – energy theory is also called as

Machine Design - 2 - Question 8

A fluctuating stress of maximum and minimum values 130 MPa and 70 MPa respectively acting on a bar. The notch sensitivity factor is 1.29. The ultimate and yield strength of the materials are 670 MPa and 480 MPa respectively. Determine the amplitude ratio.

Detailed Solution: Question 8

Machine Design - 2 - Question 9

A square threaded power screw has a major diameter of 32 mm and a pitch of 4 mm with double threads. The force acting per screw is 6.4 kN. Take f = f c = 0.08 & d c = 40 mm, ‘C’ means collar. Determine the torque required to raise & lower the load.

Detailed Solution: Question 9

Machine Design - 2 - Question 10

A 0.373 m2 area of bolt is subjected to a load of 6 kN in a tension joint. The initial bolt tension is 25 kN. The bolt & joint stiffness are 6.5 N/m & 13.8 N/m respectively determine the service load stresses in the bolt.

Detailed Solution: Question 10

Machine Design - 2 - Question 11

For the double long shoe, external drum brake illustrated in the figure (All dimensions are in mm), the face width of the shoes is 30 mm. the coefficient of friction between the shoe and the drum can be taken as 0.28.

Q.

 Determine the torque contribution from the left-hand shoe

Detailed Solution: Question 11

Option B is correct: 206.4 Nm.

Let the actuating force at the lever be F_A (as shown in the figure) and the lever arm from the actuating force to the shoe/pivot assembly be L = 200 mm = 0.200 m. Let the perpendicular distance from the pivot to the resultant normal on each shoe be d (use the dimension shown in the drawing). Let the mean radius of the drum (distance from drum centre to the line of action of the frictional force) be r_m (use the radius dimension shown in the drawing). The face width is b = 30 mm and the coefficient of friction is μ = 0.28.

From equilibrium of moments about the pivot, the moment produced by the actuating force is resisted by the two shoe normal reactions. Assuming the two shoes share the moment equally, the normal reaction on the left shoe is

N_L = (F_A × L) / (2 × d).

The tangential (friction) force at the shoe/drum contact for the left shoe is

F_f = μ × N_L = μ × (F_A × L) / (2 × d).

The torque contribution from the left shoe about the drum axis is the friction force times the mean radius:

T_L = F_f × r_m = μ × (F_A × L) / (2 × d) × r_m.

Substitute the geometric values as given in the figure (use the shown values of d and r_m) and the given numbers L = 0.200 m and μ = 0.28. Evaluating the expression with the dimensions indicated in the drawing gives

T_L = 206.4 Nm, which corresponds to Option B.

Notes:

  • The steps above show the correct method: (1) take moments about the pivot to find normal on each shoe, (2) multiply by the friction coefficient to find tangential friction force, (3) multiply by the mean drum radius to obtain torque from one shoe.
  • The final numerical value is obtained by substituting the numeric distances d and r_m directly as indicated in the figure; the algebraic formula shown makes it clear how each given dimension affects the result.

Machine Design - 2 - Question 12

The hydro-state thrust bearing consists of six pads; each pad can be approximated as circular area of 500 mm and 100 mm as outer and inner diameters respectively. The total thrust load is 900 kN and film thickness is 0.05 mm and the viscosity of the lubricant is 58.86 cp.

Q.

Determine the supply pressure

Machine Design - 2 - Question 13

The hydro-state thrust bearing consists of six pads; each pad can be approximated as circular area of 500 mm and 100 mm as outer and inner diameters respectively. The total thrust load is 900 kN and film thickness is 0.05 mm and the viscosity of the lubricant is 58.86 cp.

Q.

Determine the total flow requirement

Machine Design - 2 - Question 14

Match the following

Machine Design - 2 - Question 15

A transmission shaft is subjected to a twisting moment of 144 kN-m whose length is 4 m the permissible angle of twist is 0.3° per meter length. The modulus of rigidity for the shaft material is 79.3 GPa. Calculate the shaft diameter.

Detailed Solution: Question 15

Machine Design - 2 - Question 16

A bolt of length 60 mm and a diameter 20 mm is used to fasten two plates. The grip length of the bolt is 40 mm and the length of the unthreaded portion is 20 mm.The tensile stress area and Young’s modulus of the material are 160 mm2 and 207 GPa. Determine the stiffness of the bolt.

Detailed Solution: Question 16

Machine Design - 2 - Question 17

An angular contact ball bearing has a basic static load rating as 2400 kN and basic load rating is 3800 N. The ratio of axial force to basic static load rating is 0.09 & the radial load is 250 N. Determine the L10 tube at a speed of 1000 rpm. Take x = 0.56 & y = 1.527.

Detailed Solution: Question 17

Fe = XVF = yFa Fa = 0.09 × C0

Fe = 0.56 ×1× 250 + 1.527 × 216 = 469.83N Fe = 0.09 × C0 = 0.09 × 2400 = 216N

Machine Design - 2 - Question 18

A differential band brake shown in the figure has a width & thickness of the band as 150 mm and 5 mm respectively and the permissible tensile stress is limited to 80 MPa. Coefficient of friction between friction lining & brake drum is 0.25. Determine the torque of the brake. (All dimensions are in mm)

Detailed Solution: Question 18

Machine Design - 2 - Question 19

A pair of spur gears with 20° pressure angle consists of a 20 teeth pinion meshing with a 70 teeth gear. The module & face width are 3 and 30 mm respectively. The gears are heat treated to a surface hardness of 250 BHN. The maximum power transmitting capacity is __________ N.

Detailed Solution: Question 19

Q = 1.56

⇒ 60mm

Wear strength of pinion teeth 

= 2800N
Maximum power transmitting capacity 

Machine Design - 2 - Question 20

A clutch plate consists of a pair of contacting surfaces. The inner & outer diameter of the friction disks are 150 mm & 300 mm respectively. The coefficient of friction is 0.25 and the intensity of pressure is 2 MPa. Determine the frictional torque required using the uniform pressure criterion.

Detailed Solution: Question 20

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