A solid steel bar \(0.5 \mathrm{~m}\) long and \(50 \mathrm{~mm}\) diameter is placed inside and aluminium tube having inside and outside diameters \(60 \mathrm{~mm}\) and \(80 \mathrm{~mm}\) respectively. The aluminium tube is \(0.2 \mathrm{~mm}\) longer than steel bar. An axial load of \(750 \mathrm{kN}\) is applied to the composite system through rigid cover plates as shown in Fig. 13.65. Calculate the stresses developed in steel bar and aluminium tube. \(E_{s}=200 \mathrm{GPa}, E_{a}=70 \mathrm{GPa}\).

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50mm 60mm 80mm 750kN 0.5m Fig. 13.65 -0.2mm 750kN