Question: 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

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. $E_{s}=200 \mathrm{GPa}, E_{a}=70 \mathrm{GPa}$.

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

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