Average grain diameter at 310MPa from 2 known yield/grain values

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The discussion focuses on determining the grain diameter at which the lower yield point of iron reaches 310MPa, given two known yield points at different grain diameters. The lower yield point is 230MPa at a grain diameter of 1e-2mm and increases to 275MPa at a grain diameter of 6e-3mm. Participants reference the Hall-Petch relationship, which relates grain size to yield strength, as a potential method for solving the problem. There is uncertainty among contributors about the appropriate equations to use for the calculation. The conversation emphasizes the need for clarity on the Hall-Petch equation to find the desired grain diameter.
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Homework Statement


The lower yield point for an iron that has an average grain diameter of 1e-2mm is 230MPa. At a grain diameter of 6e-3mm, the yield point increases to 275MPa. At what grain diameter will the lower yield point be 310MPa?


Homework Equations


Not sure


The Attempt at a Solution


Not sure how to do it.
 
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Look up "Hall-Petch."
 
Thanks Mapes
 
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