Correlation clustering: Difference between revisions

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'''Barlow's formula''' relates the internal pressure that a [[pipe (material)|pipe]]<ref>Or pressure vessel, or other cylindrical pressure containment structure.</ref> can withstand to its dimensions and the [[Strength of materials|strength of its material]].
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:<math>P=\frac {2St} {D}</math>
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where
 
: ''P'' = pressure
: ''S'' = allowable stress
: ''t'' = wall thickness
: ''D'' = outside diameter
 
This formula figures prominently in the design of [[Autoclave (industrial)|autoclaves]] and other [[pressure vessel]]s.
 
The formula is named after [[Peter Barlow (mathematician)|Peter Barlow]], an English [[mathematician]].
 
The design of a complex pressure containment system involves much more than the application of Barlow's formula. For almost all [[pressure vessel]]s, the [[American Society of Mechanical Engineers#ASME Boiler and Pressure Vessel Code (BPVC)|ASME code]] stipulates the requirements for design and testing.
The formula is also common in the pipeline industry to verify that pipe used for gathering, transmission, and distribution lines can safely withstand operating pressures. The safety factor is multiplied by the resulting pressure which gives the maximum operating pressure for the pipeline. This safety factor is dependent on class locations which are defined in DOT Part 192. There are four class locations corresponding to four safety factors.
   
Class 1: An offshore area or any class location unit that has 10 or fewer buildings intended for human occupancy. The Class 1 safety factor is 0.72.
 
Class 2: any class location that has more than 10 but fewer than 46 buildings intended for human occupancy; safety factor  0.60.
 
Class 3: any location that has more than 46 or more buildings intended for human occupancy or any area where the pipeline lies within 100 yards (91 meters) of a building or a small, well-defined outdoor area (such as a playground, recreation area, outdoor theater, or place of public assembly) that is occupied by 20 or more persons at least five days a week for 10 weeks in any 12 month period—weeks need not be consecutive. Safety factor 0.50.
 
Class 4: any class location unit where buildings with four or more stories above the ground are prevalent; safety factor 0.40.
 
==External links==
*[http://www.aerocomfittings.com/barlows.html Barlow's Formula Calculator ]
http://www.ecfr.gov/cgi-bin/text-idx?c=ecfr&tpl=/ecfrbrowse/Title49/49cfr192_main_02.tpl
==Notes==
{{reflist}}
 
{{mathanalysis-stub}}
 
[[Category:Mathematical analysis]]
[[Category:Piping]]
[[Category:Pressure vessels]]

Revision as of 08:22, 5 February 2014

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