Mass of pressure Cylindrical vessel with semi-elliptical ends

Description

Pressure vessels are held together against the gas pressure due to tensile forces within the walls of the container. The normal (tensile) stress in the walls of the container is proportional to the pressure and radius of the vessel and inversely proportional to the maximum allowed normal stress of the particular material used in the walls of the container.The mass for a vessel with an aspect ratio of middle cylinder width to radius of 2:1 is depended on the radius, the pressure, the density of the material and the stress.

Related formulas

Variables

MMass of the vessel (kg)
πpi
RRadius (m)
PPressure difference from ambient (the gauge pressure) (Pa)
ρThe density of the material (kg/m3)
σMaximum working stress that material can tolerate (Pa)