In order to increase the strength of the pressure vessel, filament winding of the same mat...

In order to increase the strength of the pressure vessel, filament winding of the same material is wrapped around the circumference of the vessel as shown. If the pretension in the filament is T and the vessel is subjected to an internal pressure p, determine the hoop stresses in the filament and in the wall of the vessel. Use the force-body diagram shown, and assume the filament winding has a thickness t' and width w for a corresponding length L of the vessel.