1)Use the formula,
equation (1)
Where
radius r=18 mm
Calculate the polar moment of inertia
Now, from equation (1)
This is the torque required to initiate yielding.
(2)If the Torque is increased by 15% of case (1),
Using equation (1) to prevent yielding,
Solving one will get d=37.17 mm thus
radius r=d/2=18. 585 mm
(3) Finding the Angle of twist for the case (2)
Use
Solving we will get,
or
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