Date: Thu, 28 Mar 2024 04:49:22 -0500 (CDT)
Message-ID: <1942576689.3122.1711619362611@cornell1-cos-conf1.managed.contegix.com>
Subject: Exported From Confluence
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Hoop, Axial and Radial Stresses in Thick-Walled Pressure Vesse=
ls
Created using ANYS 14.0
Problem Specification=
h2>
Consider the following pressurized thick-walled hydraulic cylinder. The =
following figure shows a section through the mid-plane.
Stress directions in cylindrical coordinates:
=CF=83hoop is in the circumferential direction (out of the pl=
ane here)
a =3D inner radius =3D 1.5 in
b =3D outer radius =3D 2 in
Assume the cylinders are 18 inches long and the vessel is pressurized to=
1000 psi. Here, we will be interested in finding the hoop, axial and radia=
l stresses at the mid-length of the cylinders (@ 9 inches), to neglect the =
local effects of the end caps.
Compare the finite element results obtained from axisymmetric analysis t=
o those calculated with the theoretical formulae for both thin-wall and thi=
ck-wall approximations.
Note: For this problem, the material choice will not affect the stresses=
; it will only affect the displacements and strains.
Learning Goals
The purpose of this tutorial is to showcase, in a relatively simple situ=
ation, where thin-wall pressure vessel theory is no longer as valid as it i=
s in the limit of large radius-to-thickness ratios. The point is that inade=
quate theory should not be used for validation purposes in the limit that t=
he physical assumptions on which the theory is based break down. In this pr=
oblem, this happens gradually as the vessel walls become thicker. This tuto=
rial is meant to highlight where it is relatively straightforward to apply =
axisymmetric FEA and resolve a solution correctly that disprove analytical =
treatment with simple formulae derived for thin-walled vessels.
Go to Step=
1 - Pre-Analysis & Start-Up
Go to all ANSYS L=
earning Modules
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