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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 = ( πR 2 )(1 / 2) h μR 2 Y e 2 μR h- 2 μR 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 μ , 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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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.008 taught by Professor Jung-hoonchun during the Spring '04 term at MIT.
- Spring '04