Pressure Loading of Thin-walled Spherical Vessel

Written by Jerry Ratzlaff on . Posted in Vessel

Pressure Loading of thin-walled Spherical Vessel formulas

\(\large{ \sigma_{sph} = \frac{p\;r}{2\;t}   }\)   
\(\large{ R = \frac{p\;r^2 \; \left( 1 \;-\; v \right) }{2\;E\;t}   }\)   
\(\large{ V = \frac{  2\;p\;\pi\;r^4 \; \left( 1 \;-\; v \right) }{E\;t}   }\)   

Where:

\(\large{ \sigma_{sph} }\)  (Greek symbol sigma) = stress

\(\large{ p }\) = uniform internal pressure

\(\large{ r }\) = radius

\(\large{ t }\) = thickness

\(\large{ \mu }\)  (Greek symbol mu) = Poisson's ratio

\(\large{ E }\) = modulus of elasticity

\(\large{ R }\) = increase in radius

\(\large{ V }\) = increase in volume

 

Tags: Equations for Pressure Equations for Vessels