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. The vessel is 3 m long, and has an inner radius of 0.5 m and a thickness of 10 mm. Est = 200 GPa, vst = 0.3. (Figure 1)
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. The vessel is 3 m long, and has an inner radius of 0.5 m and a thickness of 10 mm. Est = 200 GPa, vst = 0.3. (Figure 1)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text: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. The vessel
is 3 m long, and has an inner radius of 0.5 m and a
thickness of 10 mm. Est = 200 GPa, vst = 0.3.
(Figure 1)

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