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Engineering, 14.10.2019 19:20 120175

Consider a pressure vessel that is a thin-walled tube with closed ends and wall thickness t. the volume enclosed by the vessel is determined from the inner diameter d and length l by ve = πd2l/4. the ratio of a small change in the enclosed volume to the original volume (known as the volumetric strain) can be found by obtaining the differential dveand then dividing by ve. (a) obtain this expression, i. e., dve/ve.(b) derive an equation for dve/ve as a function of the pressure p in the vessel, the vessel dimensions, and elastic constants of the isotropic material. assume that l is large compared to d, so that the details of the behavior of the ends are not important.

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