ample 3 (a) A sphere, 1 m internal diameter and 6 mm wall thickness, is to be pressure-tested for safety purposes with water as the pressure medium. Assuming that the sphere is initially filled with water at atmospheric pressure, what extra volume of water is required to be pumped in to produce a pressure of 3 MN/m² gauge? For water, K = 2.1 GN/m². The sphere is now placed in service and filled with gas until there is a volume change of 72 x 10 m³. Determine the pressure exerted by the gas on the walls of the sphere. To what value can the gas pressure be increased before failure occurs according to the maximum principal stress theory of elastic failure? For the material of the sphere E = tension = 280 MN/m². 200 GN/m², v=0.3 and the yield stress o, in simple

Elements Of Electromagnetics
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ample 3
(a) A sphere, 1 m internal diameter and 6 mm wall thickness, is to be pressure-tested for
safety purposes with water as the pressure medium. Assuming that the sphere is initially filled
with water at atmospheric pressure, what extra volume of water is required to be pumped in
to produce a pressure of 3 MN/m² gauge? For water, K = 2.1 GN/m².
The sphere is now placed in service and filled with gas until there is a volume change of
72 x 10 m³. Determine the pressure exerted by the gas on the walls of the sphere.
To what value can the gas pressure be increased before failure occurs according to the
maximum principal stress theory of elastic failure?
For the material of the sphere E =
tension = 280 MN/m².
200 GN/m², v=0.3 and the yield stress o, in simple
Transcribed Image Text:ample 3 (a) A sphere, 1 m internal diameter and 6 mm wall thickness, is to be pressure-tested for safety purposes with water as the pressure medium. Assuming that the sphere is initially filled with water at atmospheric pressure, what extra volume of water is required to be pumped in to produce a pressure of 3 MN/m² gauge? For water, K = 2.1 GN/m². The sphere is now placed in service and filled with gas until there is a volume change of 72 x 10 m³. Determine the pressure exerted by the gas on the walls of the sphere. To what value can the gas pressure be increased before failure occurs according to the maximum principal stress theory of elastic failure? For the material of the sphere E = tension = 280 MN/m². 200 GN/m², v=0.3 and the yield stress o, in simple
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