Pressure Loading of Thin-walled Spherical Vessel

on 02 January 2020. Posted in Pressure Vessel

Pressure Loading of thin-walled Spherical Vessel formulas
\( \sigma_{sph} = p\;r\;/\;2\;t \) \( R = p\;r^2 \; \left( 1 - v \right) \;/\;2\;E\;t \) \( V = 2\;p\;\pi\;r^4 \; \left( 1 - v \right) \;/\;E\;t \)
Symbol	English	Metric
\( \sigma_{sph} \) (Greek symbol sigma) = stress	\(lbf\;/\;in^2\)	\(Pa\)
\( p \) = uniform internal pressure	\(lbf\;/\;in^2\)	\(Pa\)
\( r \) = radius	\( in \)	\( mm \)
\( t \) = thickness	\( in \)	\( mm \)
\( \mu \) (Greek symbol mu) = Poisson's ratio	\( dimensionless \)
\( E \) = modulus of elasticity	\(lbf\;/\;in^2\)	\(Pa\)
\( R \) = increase in radius	\( in \)	\( mm \)
\( V \) = increase in volume	\( in^3 \)	\( mm^3 \)

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