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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 .
Nominal Pipe Size (NPS) is a North American set of standard sizes for pipes used for high or low pressures and temperatures. [1] " Nominal" refers to pipe in non-specific terms and identifies the diameter of the hole with a non-dimensional number (for example – 2-inch nominal steel pipe" consists of many varieties of steel pipe with the only criterion being a 2.375-inch (60.3 mm) outside ...
The pipe wall thickness has a variance of approximately 12.5 percent. In the rest of Europe pressure piping uses the same pipe IDs and wall thicknesses as Nominal Pipe Size, but labels them with a metric Diameter Nominal (DN) instead of the imperial NPS. For NPS larger than 14, the DN is equal to the NPS multiplied by 25.
Standard dimension ratio (SDR) is a method of rating a pipe's durability against pressure. The standard dimension ratio describes the correlation between the pipe dimension and the thickness of the pipe wall. [1] Common nominations are SDR11, SDR17, SDR26 and SDR35. Pipes with a lower SDR can withstand higher pressures.
The wall thickness is uniform around the section. In the UK, or other countries which follow British construction or engineering terminology, the term HSS is not used. Rather, the three basic shapes are referenced as CHS, SHS, and RHS, being circular, square, and rectangular hollow sections.
t = wall thickness of the tubing. Then y = 2t − g, when expressed as the absolute amount of squeeze, y = 100% × (2t − g) / (2t), when expressed as a percentage of twice the wall thickness. The occlusion is typically 10% to 20%, with a higher occlusion for a softer tube material, and a lower occlusion for a harder tube material.
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:
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].