hw14sol.Spring07

hw14sol.Spring07 - ME 452: Machine Design II Solution to...

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Unformatted text preview: ME 452: Machine Design II Solution to Homework Set 14 Problem 1 (Problem 16-16, page 855). (a) Assume uniform-wear model, Equation (16-23) results the actuating force to the maximum pressure a p : ( ) 2 a p d F D d =- Then, 2 2 5000 188628 pa ( ) 3.141593 0.225 (0.3 0.225) a F p d D d = = =- - The torque is: (can be calculated using either equation 16-24 or 16-25, 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 (Equation 16-26), 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 = = =- - The torque is: (can be calculated using either equation 16-27 or 16-28, 16-28 is used here) 3 3 3 3 2 2 2 2 5000 0.25 0.3 0.225 165.179 N m 3 3 0.3 0.225 Ff D d T D d- - = = =-- i Note : Please read the discussions on page 828 concerning the uniform wear and uniform pressure assumptions, which indicates that the uniform wear and uniform pressure...
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hw14sol.Spring07 - ME 452: Machine Design II Solution to...

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