Rod AB consists of two cylindrical portions AC and BC,

Chapter 2, Problem 2.107

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Rod AB consists of two cylindrical portions AC and BC, each with a cross-sectional area of \(1750 \mathrm{~mm}^{2}\). Portion AC is made of a mild steel with E = 200 GPa and \(\sigma_{Y}=250 \mathrm{MPa}\), and portion BC is made of a high-strength steel with E = 200 GPa and \(\sigma_{Y}=345\) MPa. A load P is applied at C as shown. Assuming both steels to be elastoplastic, determine (a) the maximum deflection of C if P is gradually increased from zero to 975 kN and then reduced back to zero, (b) the maximum stress in each portion of the rod, (c) the permanent deflection of C.

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