Pressure Loading of Thin-walled Spherical Vessel

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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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Tags: Pressure Pressure Vessel