Compute the ratio of the torque, Mechanical Engineering

Compute the ratio of the torque:

Compute the ratio of the torque transmitted by a hollow & a solid shaft of the similar material, length & weight.

Solution

di = internal diameter of hollow shaft

 d0 = external diameter of hollow shaft

d = diameter of solid shaft

Similar material means modulus of rigidity and density is similar. The weight being equal means the cross-sectional areas of solid & hollow shafts are similar:

i.e.

1244_Compute the ratio of the torque.png

where

∴  n = di / do

d = do

550_Compute the ratio of the torque1.png

τs = 16Ts / π d 3 =  16Ts / π d 3 (1 - n2 ) (3/2)

2362_Compute the ratio of the torque2.png

For same material τs = τh

 ∴         Ts    /(1 - n2 ) (3/2)   =Th/(1 - n4 )2

288_Compute the ratio of the torque3.png

Posted Date: 1/21/2013 4:55:38 AM | Location : United States







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