The thin-walled cylindrical pressure vessel of inner radius r and thickness t is subjected to an internal pressure p. If the material constants are E and v, determine the strains in the circumferential and longitudinal directions. Using these results, compute the increase in both the diameter and the length of a steel pressure vessel filled with air and having an internal gauge pressure of 15 MPa. Die vessel is 3 m long, and has an inner radius of 0.5 m and a thickness of 10 mm. ϵst = 200 GPa. vst, = 0.3.
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