Pressure Loading of Thin-walled Vessels (Sphere) Calculator

Enter value and click on calculate. Result will be displayed.

`δ_[sph]=[p×r]/[2×t]`      `R=[p×r^2(1-v)]/[2×E×t]`
`V=[2×p×π×r^4(1-v)]/[E×t]`
δsph = Stress      p = Uniform Internal Pressure
r = Radius      t = Thickness      v = Poisson's Ratio
E = Modulus of Elasticity      R = Increase In Radius
V = Increase In Volume

Enter your values:

Radius (r):
m
Thickness (t):
m
Modulus of Elasticity (E):
109 N / m2
Poisson's Ratio (v):
m
Uniform Internal Pressure (p):
106 N / m2

Result:

Stress (δsph):
106 N / m2
Increase In Radius (R):
10-6 m
Increase In Volume (V):
10-6 m3

Pressure Loading of Thin-walled Vessels (Sphere) Calculator Pressure vessels are held together against the gas pressure due to tensile forces within the walls of the container. Stress in a shallow-walled pressure vessel in the shape of a sphere is related to the internal gauge pressure, the inner radius of the sphere, the thickness of the wall and the density of the material. A vessel can be considered "shallow-walled" if the diameter is at least 10 times (sometimes cited as 20 times) greater than the wall depth.
x