Stress in thin-walled pressure spherical vessels


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.

Related formulas


σ_θStress in the spherical vessel( hoop stress) (Pa)
PInternal gauge pressure (Pa)
rInner radius (m)
tThickness of the wall (m)