GATE 2019: Machine Design Quiz 3

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Question 1

Two shaft AB and CD are connected by spur gear as shown below. A couple applied at A stresses the shaft AB to 110 MPa. If the shearing stress in shaft CD must not exceed 110 MPa, then the diameter of shaft CD is ____ mm.
[Neglect any bending action and take G = 80 MPa]

• A144.22 mm
• B143.22 mm
• C142.22 mm
• D141.22 mm

Question 2

Determine the output angular velocity for a basic spur gear train as that shown in Fig,
Where ω_A = 660 rpm (input); N_A = 20 teeth; N_B = 60 teeth

• A220 rpm
• B250 rpm
• C200 rpm
• D230 rpm

Question 3

Match the type of gears with their most appropriate description.

• AP-2, Q-4, R-1, S-6
• BP-1, Q-4, R-5, S-6
• CP-2, Q-6, R-4, S-2
• DP-6, Q-3, R-1, S-5

Question 4

A compound gear train as shown in figure is used to transmit 20 kW from motor running at 1500 rpm.




What will be radial force (in N) at gear C ?

• A1900
• B8254
• C2455
• D846.5

Question 5

A gear set has a pinion with 20 teeth and a gear with 40 teeth. The pinion runs at 30 rev/s and transmits a power of 20 kW. The teeth are on the 20^ofull–depth system and have a module of 5 mm. The length of the line of action is 19 mm.

The resultant force on the contacting gear tooth in N is

• A7723
• B2122.0
• C2258
• D2894.3

Question 6

One tooth a gear having 4 module and 32 teeth is shown in the figure. Assume that the gear tooth and the corresponding tooth space make equal intercepts on the pitch circumference. The dimension ‘a’ and ‘b’, respectively, are closest to

• A6.08 mm, 4 mm
• B6.48 mm, 4.2 mm
• C6.28 mm, 4.3 mm
• D6.28 mm, 4.1 mm

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