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A compound tube consists of a steel tube $150$ mm internal diameter and $170$ mm external diameter and a brass tube of $170$ mm internal diameter and $190$ mm external diameter. The two tubes are of the same length. The compound tube carries an axial load of $1000$ kN$.$ Find the stresses and the load carried by each tube and the amount it shortens.

Length of each tube is $140$ mm$.$ Take E for steel as $210^5$ N$/$mm$^2$ and for brass as $110^5$ N$/$mm$^2.$