Written by Jerry Ratzlaff on . Posted in Pressure Vessel

## Radial Displacement Spherical (Volume) Formula

$$\large{ V = \frac{ 2 \; p \; \pi \; r^4 \; \left( 1 \;-\; \mu \right) }{ \lambda \; t } }$$
Symbol English Metric
$$\large{ V }$$ = volume $$\large{ in^3 }$$ $$\large{ mm^3 }$$
$$\large{ \lambda }$$  (Greek symbol lambda) = elastic modulus $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ \mu }$$  (Greek symbol mu) = Poisson's Ratio $$\large{ dimensionless }$$
$$\large{ \pi }$$ = Pi $$\large{3.141 592 653 ...}$$
$$\large{ p }$$ = pressure under consideration $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ r }$$ = radius to point of intrest $$\large{ in }$$ $$\large{ mm }$$
$$\large{ t }$$ = wall thickness $$\large{ in }$$ $$\large{ mm }$$