Question

A plate clutch has a single friction surface 9-in OD by 7-in ID. The coefficient of friction is 0.2 and the maximum pressure is 1.5 in-kip. Find the torque capacity using the uniform-pressure assumption.

Answer 1

the torque capacity is 30316.369 lb-in

Step-by-step explanation:

Given data

OD = 9 in

ID = 7 in

coefficient of friction = 0.2

maximum pressure = 1.5 in-kip = 1500 lb

To find out

the torque capacity using the uniform-pressure assumption.

Solution

We know the the torque formula for uniform pressure theory is

torque = 2/3 ×
`\pi` × coefficient of friction × maximum pressure ( R³ - r³ ) .....................................1

here R = OD/2 = 4.5 in and r = ID/2 = 3.5 in

now put all these value R, r, coefficient of friction and maximum pressure in equation 1 and we will get here torque

torque = 2/3 ×
`\pi` × 0.2 × 1500 ( 4.5³ - 3.5³ )

so the torque = 30316.369 lb-in