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Can a thick-walled cylinder under internal pressure be approximated as a plane problem in elasticity?

2011-01-20View Original

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Can a thick-walled cylinder under internal pressure be approximated as a plane problem in elasticity?
Reply #22011-01-20
The basic equations of elasticity generally include; Equilibrium equations, geometric equations, deformation compatibility equations, boundary conditions, physical equations. In the case of thick-walled containers, the stress is not uniformly distributed across the wall thickness, and the pattern of this distribution is also unknown. Therefore, it is not possible to determine the stress levels at various points merely by using the principle of static equilibrium; it is an indeterminate structural problem. The stress distribution can be determined only by analyzing factors such as equilibrium, geometry, and physics. In this way, thick-walled containers are also solved using the basic equations of elasticity. I’m not sure if what I said is correct! I lack theoretical knowledge

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