A pressure vessel is a type of container which is used to store liquids or gases
under a pressure different from the ambient pressure. Examples of pressure
vessels can be diving cylinder, autoclave, nitrogen tanks, submarine and storage
vessels for liquefied gases such as LPG. Different shapes of
pressure vessels exist but most generally cylindrical and spherical shapes are
used. Spherical vessels are theoretically 2 times stronger than cylindrical ones
but due to the manufacturing difficulties, cylindrical ones are generally
preferred in the industry.
A pressure vessel is assumed to be a thin walled pressure vessel when the
thickness of the vessel is less than 1/20 of its radius. [Ref-2]
The walls of thin-walled pressure vessels have little resistance to bending so
it may be assumed that the internal forces exerted on a given portion of the
wall are tangent to the surface of the vessel. The resulting stress state on
vessel is plane stress situation since all stresses are tangent to surface of
vessel.
The calculation tool was developed to analyze two types of vessels, cylindrical
and spherical type. According to geometric properties and pressure, principal stresses
and maximum shear stress on the surface of the vessel can be calculated. The
formulas used for the calculations are given in the List of Equations section.
Note: Use dot "." as decimal separator.
RESULTS |
Parameter |
Value |
Unit |
Hoop stress (Principal stress-1) (σ1) |
---
|
MPa
|
Longitudinal stress (Principal stress-2) (σ2) |
---
|
Maximum shear stress (in plane) (τmax(in plane)) |
---
|
Maximum shear stress (out plane) (τmax(out plane)) |
---
|
Thickness to inner radius ratio (t/r) |
---
* |
--- |
Note: * Red color :t/r > 1/20 , Green color : t/r < 1/20