hmewrk_05_sol - Solution Homework#5 Springback 2.008 Design...

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Solution Homework #5: Springback 2.008 Design and Manufacturing II Spring 2004 Out: March 31 st Due: April 07 th Problem 1 As demonstrated in class, springback is a problem which must be addressed when bending sheet metal. It occurs because there is always an elastic regio0n (albeit, sometimes very small) within the sheet which wants to return to its original state after the bending operation. The springback of the bent sheet can be approximated using the expression R Y 3 R Y R i = 4 i 3 i + 1 (1) R f ET ET where, as shown in Figure 1, R i and R f are the initial and final bend radii, Y is the yield strength and E is the elastic modulus of the metal, and T is the thickness of the sheet. As illustrated in Figure 1, the main effects of springback are that the final radius of curvature is larger than the initial radius and the final bend angle, α f , is smaller than the initial angle, α i . One approach to compensate for springback is to overbend the part (i.e., bend the sheet more than you want,
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