10-54 A thin-walled cylindrical pressure vessel has an inner radius , thickness 1, and length L. If it is subjected to a

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10 54 A Thin Walled Cylindrical Pressure Vessel Has An Inner Radius Thickness 1 And Length L If It Is Subjected To A 1 (18.15 KiB) Viewed 40 times

10-54 A thin-walled cylindrical pressure vessel has an inner radius , thickness 1, and length L. If it is subjected to an internal pressure p. show that the increase in its inner radius is dr repr'(1 - Et and the increase in its length is AL-PL(: - ) Ex. Using these results, show that the change in internal volume becomes dV (1 + 1)(1+z)L- r L. Since eandez are small quantities, show further that the change in volume per unit volume, called volumetric strain, can be written as dVIV = Pr(2.5 -2vE.