Hollow Shaft

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Posted on 31st August 2010 by admin in Power Tools

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Hollow Shaft
Hollow Shaft
To determine the maximum permissible power that can be transmitted by a hollow shaft?

Determine the maximum power that can b transmitted by a hollow shaft 60 mm ext dia and 40 mm int dia @ a speed of 2400 rev/min if the maximum permissible shear stress in the shaft is 20 MPa. Determine also the angle of twist in shaft over 3 m if the modulus of rigidity is 80GPa.

The allowable torque can be calculated from the following relationship:

tau = T*r / J

where tau is the shear stress, T is the applied torque, r is the distance from the shaft center to the area of interest (in this case, the outer fiber), and J is the polar moment of inertia.

Once torque is determined, then power is just the rate at which the torque is applied. So, power can be calculated as follows:

P = 2*pi*omega*T

where P is power and omega is the speed of the shaft in revolutions per second.

Then, the angle of twist can be calculated as follows:

theta = T * length / (J * G)

where theta is the angle of twist and length is the length of the shaft.

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