Compute the outside diameter of the shaft, Mechanical Engineering

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Compute the outside diameter of the shaft:

A hollow shaft of diameter ratio is 0.4 is needed to transit 600 kW at 120 rpm. The maximum torque being 20% greater than the mean torque. The shear stress is restricted to 60 N/mm2 and the lowest of 0.01 radians per unit length. Compute the outside diameter of the shaft. Take G = 0.8 × 105 N/mm2.

Solution

di / do   = 0.4

di  = 0.4 do

475_Compute the outside diameter of the shaft.png

R = do/ 2

P = 600 kN, N = 120 rpm,  P = 2π NT  /60

600 × 103  =( 2π× 120T )/60

∴          T = 47.7 × 103 N-m

Tmax  = 1.2 T = 1.2 × 47.7 × 103  = 57.3 × 103  N-m

τmax  = 60 N/mm2  = 60 × 106  N/m2

 Tmax  = τmax  × Z P

⇒         57.3 × 103  = 60 × 106  × 0.19

∴          do  = 0.17 m

Tmax / J = G θ/ l

225_Compute the outside diameter of the shaft2.png

∴          do = 0.165 m

∴          do = 0.17 m = 170 mm


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