A bronze bar is fastened between a steel bar and an aluminum bar as s…

Previous year question for MECHANICS OF SOLIDS.

Question

A bronze bar is fastened between a steel bar and an aluminum bar as shown in Fig.1. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of $3.0\text{ mm}$, or the following stresses: $140\text{ MPa}$ in the steel, $120\text{ MPa}$ in the bronze, and $80\text{ MPa}$ in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use $E_{\text{st}} = 200\text{ GPa}$, $E_{\text{al}} = 70\text{ GPa}$, and $E_{\text{br}} = 83\text{ GPa}$.

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