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14. An astronaut is given the task of retrofitting the cryogenic cooling system of the international space station in coordinate with Johnson Space Center. He inspects a cylinder subject to internal pressure with an inner radius of 24 mm and wall thickness of 5 mm that carries a cryogenic liquid. He detects a 2mm radial crack (in the longitudinal direction) on the exterior surface of the pipe and radios Houston for help. The pipe is usually pressurized at 100 MPa but is currently offline. The pipe is made of Ti-6Al-4V alloy with a cryogenic Fracture Toughness of 28MPavm and Yield Strength of 1750MPa respectively. To solve this problem, use the tangential stress given below Pr You are an engineer at NASA Johnson selected to assess the pipe. Determine if (a) yielding occurs (b fracture occurs (c) should the pipe be replaced to protect the lives of the astronauts?

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