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Barlow's formula (called "Kesselformel" [1] in German) relates the internal pressure that a pipe [2] can withstand to its dimensions and the strength of its material. This approximate formula is named after Peter Barlow , an English mathematician .
For the thin-walled assumption to be valid, the vessel must have a wall thickness of no more than about one-tenth (often cited as Diameter / t > 20) of its radius. [4] This allows for treating the wall as a surface, and subsequently using the Young–Laplace equation for estimating the hoop stress created by an internal pressure on a thin-walled cylindrical pressure vessel:
Maximum Allowable Operating Pressure (MAOP) is a pressure limit set, usually by a government body, which applies to compressed gas pressure vessels, pipelines, and storage tanks. For pipelines, this value is derived from Barlow's Formula , which takes into account wall thickness, diameter, allowable stress (which is a function of the material ...
The ASME definition of a pressure vessel is a container designed to hold gases or liquids at a pressure substantially different from the ambient pressure. [2]The Australian and New Zealand standard "AS/NZS 1200:2000 Pressure equipment" defines a pressure vessel as a vessel subject to internal or external pressure, including connected components and accessories up to the connection to external ...
The SMYS is required to determine the maximum allowable operating pressure (MAOP) of a pipeline, as determined by Barlow's Formula which is P = (2 * S * T)/(OD * SF), where P is pressure, OD is the pipe’s outside diameter, S is the SMYS, T is its wall thickness, and SF is a [Safety Factor].
Chapter 13 – Shells of Revolution; Pressure Vessels; Pipes Chapter 14 – Bodies in Contact Undergoing Direct Bearing and Shear Stress Chapter 15 – Elastic Stability Chapter 16 – Dynamic and Temperature Stresses Chapter 17 – Stress Concentration Factors Appendix A – Properties of a Plane Area Appendix B – Glossary
At a gauge pressure of 7 bar: 0.107 m/s; At a gauge pressure of 21 bar: 0.101 m/s; At a gauge pressure of 42 bar: 0.092 m/s; At a gauge pressure of 63 bar: 0.083 m/s; At a gauge pressure of 105 bar: 0.065 m/s; GPSA notes: k = 0.107 at a gauge pressure of 7 bar. Subtract 0.003 for every 7 bar above a gauge pressure of 7 bar.
The walls of pressure vessels generally undergo triaxial loading. For cylindrical pressure vessels, the normal loads on a wall element are longitudinal stress, circumferential (hoop) stress and radial stress. The radial stress for a thick-walled cylinder is equal and opposite to the gauge pressure on the inside surface, and zero on the outside ...