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Unformatted text preview: Problem 5: A vacuum sphere is a spherical pressure vessel that is designed to hold a vacuum. (One use for a big vacuum sphere is to provide a brief burst of pumping capacity; a relatively small pump gradually pumps out the vacuum sphere, and then the vacuum sphere pumps out some other space at a very high rate.) Consider a thin-walled vacuum sphere with radius R and wall thickness t. When it is fully pumped out, the gauge pressure inside is -P, where P is atmospheric pressure. Calculate the state of stress in the wall of the sphere in terms of P, R, and t. How much does the spheres radius change when it is pumped down to vacuum? Problem 6: A rigid block of weight W = 1kN rests over a soda can of radius R = 0.1m and wall thickness t = 1mm. The pressure inside the can is P = 0.1MPa. Determine the state of stress in the wall of the can (that is, the components of stress in the circumferential direction and along the cans length). SODA CAN WEIGHT Figure by MIT OCW....
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- Spring '09