Find the twist of a circular hollow shaft, Mechanical Engineering

Find the twist of a circular hollow shaft:

Discover the twist per metre length of a circular hollow shaft having 120 mm outer diameter and 90 mm inner diameter, respectively, if the shear stress is not to exceed 60 N/mm2. Take G = 0.8 × 105 N/mm2.

Solution

di = 90 mm and do = 120 mm

τm = 60 N/mm2,  G = 0.8 × 105 N/mm2

Here we know,

1500_Find the twist of a circular hollow shaft.png

=          (π / (16 × 120) )× 60 × (1204  - 904 ) = 13.92 × 106

1701_Find the twist of a circular hollow shaft1.png

T / J = G θ/ l

=13.92 × 106/13.92 × 106   =0.8 × 105 × θ / l

∴          θ/ l = 1.25 × 10- 5  radian

For l = 103 mm, θ= 1.25 × 10- 2  radian

Therefore, θ= 0.0125 rad/m length = 0.7o per metre length.

Posted Date: 1/21/2013 4:44:44 AM | Location : United States







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