A cylinder has an internal diameter of 230 mm, has walls 5 mm thick and is 1 m long. It is found to change in internal volume by 12.0 × 10-6 m³ when filled with a liquid at a pressure p. If E=200 GN/m² and v = 0.25, and assuming rigid end plates, determine: (a) the values of hoop and longitudinal stresses; (b) the modifications to these values if joint efficiencies of 45% (hoop) and 85% (longitudinal) are assumed; (c) the necessary change in pressure p to produce a further increase in internal volume of 15%. The liquid may be assumed incompressible.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A cylinder has an internal diameter of 230 mm, has walls 5 mm thick and is 1 m long. It is
found to change in internal volume by 12.0 × 10-6 m³ when filled with a liquid at a pressure p.
If E=200 GN/m² and v = 0.25, and assuming rigid end plates, determine:
(a) the values of hoop and longitudinal stresses;
(b) the modifications to these values if joint efficiencies of 45% (hoop) and 85%
(longitudinal) are assumed;
(c) the necessary change in pressure p to produce a further increase in internal volume of
15%. The liquid may be assumed incompressible.
Transcribed Image Text:A cylinder has an internal diameter of 230 mm, has walls 5 mm thick and is 1 m long. It is found to change in internal volume by 12.0 × 10-6 m³ when filled with a liquid at a pressure p. If E=200 GN/m² and v = 0.25, and assuming rigid end plates, determine: (a) the values of hoop and longitudinal stresses; (b) the modifications to these values if joint efficiencies of 45% (hoop) and 85% (longitudinal) are assumed; (c) the necessary change in pressure p to produce a further increase in internal volume of 15%. The liquid may be assumed incompressible.
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