The aluminum rod is fixed at its base and free at its top. If the length of the rod is \(L=2 \mathrm{~m}\), determine the greatest allowable load \(P\) that can be applied so that the rod does not buckle or yield. Also, determine the largest sidesway deection of the rod due to the loading. \(E_{\text {al }}=72 \mathrm{GPa}, \sigma_{Y}=\) \(410 \mathrm{MPa}\).

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5 mm- P 200 mm- L