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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:
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 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 surface. The circumferential stress and longitudinal stresses are ...
Pipes and pressure vessels subject to external overpressure, caused for example by steam cooling within the pipe and condensing into water with subsequent massive pressure drop, risk buckling due to compressive hoop stresses. Design rules for calculation of the required wall thickness or reinforcement rings are given in various piping and ...
Verify the depth z below the uniformly loaded area where the stress increase is to be obtained. Plot the plan of the loaded area with a scale of z equal to the unit length of the chart (AB). Place the plan on the influence chart in such a manner that the point below which the stress is to be determined in located at the center of the chart.
Due to the availability of standard wall thickness materials, many components will have a MAWP higher than the required design pressure. For pressure vessels, all pressures are defined as being at highest point of the unit in the operating position, and do not include static head pressure. [ 2 ]