Transcription of Thick Walled Cylinders - University of Washington
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Thick Walled CylindersConsider a Thick Walled cylinder with open ends as shown above. It is loaded by internal pressure Piand external pressure Poas seen below. It has inner radius riand outer radius r r r+ d rNow consider and element at radius r and defined by an angle increment d and a radial increment dr. By circular symmetry, the stresses and rare functions of r only, not and the shear stress on the element must be zero. For an element of unit thickness, radial force equilibrium gives:Ignoring second order terms gives:Assuming that there are no body forces.
Thick Walled Cylinders. Consider a thick walled cylinder with open ends as shown above. It is loaded by ... using only force equilibrium considerations as was done for the thin walled cylinder. The result is then simply superimposed on the above ... found in thick walled cylindrical pressure vessels. In the most general case
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