hw14.sol.Fall.2010x

hw14.sol.Fall.2010x - ME 452 Machine Design II Solution to...

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ME 452: Machine Design II Solution to Homework Set 14 Problem 1. A plate clutch has a single pair of mating friction surfaces, 300 mm outside diameter, and 225 mm inside diameter. The mean value of the coefficient of friction is 0.25, and the actuating force is 5,000 N. (a) Calculate the maximum pressure and the torque capacity using the uniform-wear model. (b) Calculate the maximum pressure and the torque capacity using the uniform- pressure model. SOLUTION: (a) Assume uniform-wear model, Equation (16-23), page 847 relates the actuating force to the maximum pressure a p : ( ) 2 a p d F D d π = - Then, 2 2 5000 188628 pa ( ) 3.141593 0.225 (0.3 0.225) a F p d D d × = = = - × × - The torque can be calculated using either equation (16-24) or (16-25), page 847. Equation (16-25) is used here 5000 0.25 ( ) (0.3 0.225) 164.063 N m 4 4 Ff T D d × = + = + = i (b) Assume uniform-pressure model, the actuating force F is simply the product of the pressure and the area, see equation (16-26), page 847, 2 2 ( ) 4 a p F D d = - Then, 2 2 2 2 4 4 5000 161681 pa ( ) 3.14 (0.3 0.225 ) a F p D d × = = = - × -

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The torque can be calculated using either equation (16-27) or (16-28), page 847. Equation (16-28) is used here
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hw14.sol.Fall.2010x - ME 452 Machine Design II Solution to...

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