Hoop Membrane Stress Analysis of Elbow-Pipe under Single Internal Pressure
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 σh of the elbow is the times of straight tube’s hoop stress.
X. H. Li "Hoop Membrane Stress Analysis of Elbow-Pipe under Single Internal Pressure", Applied Mechanics and Materials, Vols. 130-134, pp. 1785-1788, 2012