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Radial Displacement Spherical (Volume)

pv radial displacement sphere 3

Radial Displacement Spherical (Volume) Formula

\( V \;=\;   \dfrac{  (2 \cdot p \cdot \pi \cdot r^4 )  \cdot  ( 1 - \mu )   }{  \lambda \cdot t }  \) 
 Symbol English Metric
\( V \) = Volume \( in^3 \) \( mm^3 \)
\( p \) = Pressure Under Consideration \(lbf\;/\;in^2\) \(Pa\)
\( \pi \) = Pi \(3.141 592 653 ...\) \(3.141 592 653 ...\)
\( r \) = Radius to Point of Intrest \( in \) \( mm \)
\( \mu \)  (Greek symbol mu) = Poisson's Ratio \( dimensionless \) \( dimensionless \)
\( \lambda \)  (Greek symbol lambda) = Elastic Modulus \(lbf\;/\;in^2\) \(Pa\)
\( t \) = Wall Thickness \( in \) \( mm \)

 

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