If I have thin shell like a beach ball inflated with air how would I calculate the change in radius and resistance there of due to the pressure inside the sphere? I have calculated the strain on the sphere to be Pr/2h where P=pressure r=radius h= thickness by cutting the sphere in half and assuming that the pressure over the area pi r^2 = the tension in the shell on this plane (2pir(sigma)) so sigma=Pr/2h. I have tried to use this and various stress strain equations, including the young's modulus equation to calculate the change in radius or surfacearea but so far have failed to do so correctly. My biggest problem is in turing this otherwise linear set of equations into ones that work over an area. Could you please verify my strain equation and help me finish my calculations.(adsbygoogle = window.adsbygoogle || []).push({});

Thank you in advance,

-Alex

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# Homework Help: Young's Modulus and the strain on a sphere due to a uniform pressure

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