The brass rod is fixed at one end and free at the other end. If the eccentric load \(P=200 \mathrm{kN}\) is applied, determine the greatest allowable length \(L\) of the rod so that it does not buckle or yield. Take \(E_{\mathrm{br}}=101 \mathrm{GPa}, \sigma_{Y}=69 \mathrm{MPa}\).

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10 mm 100 mm L- B