A thin cylinder 95 mm internal diameter, 500 mm long with walls 4.5 mm thick is subjected to an internal of 9 MN/m². If E = 200 GPa and v = 0.25, and assuming rigid end plates. Calculate: (i) The change in volume. (ii) The change of internal diameter and change in length. (iii) The value of hoop and longitudinal stresses.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.13P: : A hollow, pressurized sphere having a radius r = 4.8 in, and wall thickness t = 0.4 in. is lowered...
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Q4 (a) A thin cylinder 95 mm internal diameter, 500 mm long with walls 4.5 mm thick is
subjected to an internal of 9 MN/m². If E = 200 GPa and v = 0.25, and assuming rigid
end plates. Calculate:
(i)
The change in volume.
(ii)
The change of internal diameter and change in length.
(iii)
The value of hoop and longitudinal stresses.
Transcribed Image Text:Q4 (a) A thin cylinder 95 mm internal diameter, 500 mm long with walls 4.5 mm thick is subjected to an internal of 9 MN/m². If E = 200 GPa and v = 0.25, and assuming rigid end plates. Calculate: (i) The change in volume. (ii) The change of internal diameter and change in length. (iii) The value of hoop and longitudinal stresses.
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