Rod ABC consists of two cylindrical portions AB and BC; it

Chapter 2, Problem 2.105

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Rod ABC consists of two cylindrical portions AB and BC; it is made of a mild steel that is assumed to be elastoplastic with \(E=200 \mathrm{GPa} \text { and } \sigma_{Y}=250 \mathrm{MPa}\). A force P is applied to the rod and then removed to give it a permanent set \(\delta_{P}=2 \mathrm{~mm}\). Determine the maximum value of the force P and the maximum amount \(\delta_{m}\) by which the rod should be stretched to give it the desired permanent set.

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