Hoop Membrane Stress Analysis of Elbow-Pipe under Single Internal Pressure

Abstract:

In the article, a kind of regional force balance method based on plates and shells theories of elastic mechanics are applied to study the hoop membrane stress of the elbow-pipe, while internal pressure is as a single load. By learning the static balance equation ΣFx=0 of a micro-region segment of pipe shell, it is found that axial membrane stress σ₁ is perpendicular to x-direction and has no effect to equilibrium condition, here axial stress σ₁ is discussed explicitly. It shows that, the hoop membrane stress σ_h of the elbow is the times of straight tube’s hoop stress.

• Periodical: Applied Mechanics and Materials (Volumes 130-134)
• Pages: 1785-1788
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.130-134.1785
• Online since: October 2011
• Authors: Xiao Hong Li
• Keywords: Elbow-Pipe, Hoop Membrane Stress, Internal Pressure

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