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GATE 2019: Machine Design Rapid Quiz-3 (App update required to attempt this test)

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Question 1

In a reducer gear, 5 kW input was given at the input end at a speed of 1500 rpm. If the speed reduction in this unit is 10 : 1 and efficiency is 85% then what will be the output torque (Nm)?

Question 2

The ratio of the strength of weld joint in bending to strength of weld joint in torsion on a cylindrical rod fixed horizontally from end is_______. (Given M =T)

Question 3

A spring can be subjected to maximum force of 1500N parallel to its axis and having ultimate tensile strength of 2000 N/mm2. The spring index of spring is 6. Calculate the diameter of spring.
(take shear strength = 0.5 ultimate tensile strength)

Question 4

The value of Tearing resistance, Shearing Resistance, Crushing resistance of Single riveted lap joint of 15 mm plates with 25 mm diameter rivets having a pitch of 48 mm. Assume Permissible tensile stress in plate = 100 MPa, Permissible shearing stress in rivets = 90 MPa and Permissible crushing stress in rivets = 170 MPa

Question 5

If a Machine component is subjected to variable flexural stresses of 200MPa and 150MPa then which of the following statements are true?
1) Stress ratio is 0.75
2) Stress amplitude is 25MPa
3) Range of stress is 150MPa

Question 6

A self-aligning ball bearing has a basic dynamic load rating ( for revolutions) of 35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) is

Question 7

In a typical load cycle over a component the maximum and minimum stresses of 245 N/m2 and 132 N/m2 are indicated respectively. Therefore the variable stress induced is _________.

Question 8

A machine component is subjected to completely bending stress as follows 200Mpa for 75% of time with life of 5000million revolutions 400Mpa for 20% of time with life of 3800million revolutions 600Mpa for 5% of time with life of 1500million revolutions
The life of the component in million revolutions is

Question 9

A welded connection, as shown in figure is subjected to an eccentric force of 5 kN. Determine the size of welds if the permissible shear stress for the weld is 150 N/mm2. Assume static conditior

Question 10

Two plates of thickness 5 mm are joined by single riveted lap joint having shank diameter of rivet equal to 4 mm & pitch of the rivet as 6 mm.The permissible tensile strength of the plate material is 120 MPa& permissible shear stress for rivet material is 80 MPa. Find the efficiency of the joint (in percentage).

Question 11

A solid circular shaft is to be designed transmitting torque of 60Nm. If the allowable shear stress in the material is 120MPa, assuming a factor of safety of 2.5, find the minimum allowable design diameter in mm.

Question 12

Find the Solid length of the helical spring having square and ground ends. Deflection in the spring is 30 mm and an axial load is 1250 N is applied. The modulus of rigidity is 81370 N/mm ². Wire diameter and mean coil diameter are 7 mm and 42 mm respectively_____.(Given no. of inactive coil = 2)
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