h6sol - Massachusetts Institute of Technology 2.008: Design...

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Unformatted text preview: Massachusetts Institute of Technology 2.008: Design and Manufacturing I I Professor Jung-Hoon Chu n Problem Set 6 Problem 6-1. Forming (a) Name some process parameters of a metal forming operation. Solution: Forming force, Lubricant used. (b) Recall the equation on page 11 of the forging notes for F z : F z = ( R 2 )(1 / 2) h R 2 Y e 2 R h- 2 R h- 1 What does the Y represent in this equation? What is the only process parameter that you can really change in this equation? Solution: The Y represents the yield strength. The only process parameter is the friction coefficient , which is in part determined by the lubricant used. Lets consider an even more back-of-the-envelope version of this. (c) Note that for 0 < x 1 . 75, e x 1 + x + x 2 . Convince me of this. Solution: Consider the following graph: 1 2 3 4 5 6 7 8 0.5 1.5 1.75 2 x e x 1 + x + x 2 Figure 1 : Notice that for 0 < x 1 . 75, the graph of 1 + x + x 2 is strictly larger than e x ....
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h6sol - Massachusetts Institute of Technology 2.008: Design...

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