10-56. 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 n , 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. The vessel is 3 m long, and has an inner radius of 0.5 m and a thickness of 10 mm. E st = 200 GPa, n st = 0.3
 
 
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