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In mechanics of materials the hoop stress is the circumferential, or tangential, stress that develops around the wall of a cylinder or sphere under internal pressure, acting to pull the wall apart along lines that run around the circumference; for a thin-walled cylinder it is about pr/t, roughly twice the longitudinal stress, which is why pressurised pipes and vessels tend to split along their length. Gere's Mechanics of materials derives the hoop and longitudinal stresses in thin-walled pressure vessels. The referent is a stress component in a loaded shell; notably, it is the very stress that a cask's hoops are driven on to resist.[1]
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