ISYE 3039 hw5 - think the specications for the component...

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ISyE 3039 A Homework 5 Due April 15, 2008 1. 7.24 from textbook (7.32 in new edition) 2. 7.27 from textbook (7.35 in new edition) 3. 7.28 from textbook (7.36 in new edition) 4. The contact angle ( y ) in an overrunning clutch assembly is related to the hub dimension ( x 1 ), ball diameters ( x 2 and x 3 ), and cage diameter ( x 4 ) by the relation y = cos - 1 ± x 1 + ( x 2 + x 3 ) / 2 x 4 - ( x 2 + x 3 ) / 2 ! Suppose the specifications of the components are given as hub dimension: 55 . 29 ± 0 . 156 mm, ball diameter : 22 . 86 ± 0 . 013 mm, cage diameter: 101 . 60 ± 0 . 156 mm. Assume that the C p ’s of these components are 1. Find the mean and standard deviation of the contact angle using Monte carlo simulations. (Give a histogram for the contact angle). Suppose the specifications for the contact angle is 0 . 122 ± 0 . 035 radians, then do you
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Unformatted text preview: think the specications for the component dimensions are adequate? Explain. 5. Two components A and B are placed inside a box C as shown in the gure below. The specications of some dimensions are also shown in the gure. (a) Find the specications for the gap using worst-case method and root sum of squares method. (b) Suppose the dimensions of A and B are negatively correlated and we want to utilize this information to revise the tolerance for the gap. Do you think we should increase or decrease the tolerance? Explain. (Hint: V ar ( X 1 + X 2 ) = 2 1 + 2 2 + 2 1 2 , where is the correlation between X 1 and X 2 .) 1...
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This homework help was uploaded on 04/18/2008 for the course ISYE 3039 taught by Professor Roshanv during the Spring '08 term at Georgia Institute of Technology.

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