I'm trying to decypher the federal formula for Class, MAOP, PIR, HCA, etc.
While PHMSA acknowledges problems with several types of pipe technology:
...specifically, Lap, ERW, and EFW welds,
there is NO HIT in the Safety Factor
under federal regulations for any of these.
Notice in the federal formula, the it twists Barlow's formula, so that the Safety Factor is in the numerator! This means you must take your Barlow's Formula SF and use instead 1/SF, written as an inverse. So you want a Safety Factor of 10, you have to use 1/10 in the federal MAOP formula.
So if F*E*T = 0.1 in the Federal Formula,
49 CFR 192.113 - Longitudinal joint factor ( E ) for steel pipe.
http://www.law.cornell.edu/cfr/text/49/192.113
49 CFR 192.115 - Temperature derating factor ( T ) for steel pipe.http://www.law.cornell.edu/cfr/text/49/192.115
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These federal regs are really convoluted.
Here's one thing I've found so far--
While PHMSA acknowledges problems with several types of pipe technology:
- http://primis.phmsa.dot.gov/comm/FactSheets/FSPipeManufacturingProcess.htm
- https://opsweb.phmsa.dot.gov/pipelineforum/reports-and-research/seam-weld/
- http://phmsa.dot.gov/pipeline/regs/advisory-bulletin (1988, 1989 bulletins)
there is NO HIT in the Safety Factor
under federal regulations for any of these.
To explain:
Barlow's Formula is used to determine MAOP:
MAOP=2*S*T * 1/(D*SF)
Where
S=Material strength (psi)
D=Diameter of the pipe
T=Wall thickness in inches
SF=Safety Factor (or Design Factor)
http://tridentsteel.com/barlows-formula/
Notice the Safety Factor (SF) in Barlow's Formula is using the common definition, where an SF=1 means the system will endure the design stress, and no more. Whereas with a SF=2, the system will endure 2x the design stress. Safety Factor must be >1 by definition.
So you can easily see, because the SF is in the denominator, that if the SF goes up, the resulting MAOP goes down. This is what we would expect.
However, the Federal MAOP formula is a variant of Barlow's formula:
MAOP=2*S*T * (1/D) * F * E * Thttp://www.law.cornell.edu/cfr/text/49/192.105
MAOP=2*S*T * 1/(D*SF)
Where
S=Material strength (psi)
D=Diameter of the pipe
T=Wall thickness in inches
SF=Safety Factor (or Design Factor)
http://tridentsteel.com/barlows-formula/
Notice the Safety Factor (SF) in Barlow's Formula is using the common definition, where an SF=1 means the system will endure the design stress, and no more. Whereas with a SF=2, the system will endure 2x the design stress. Safety Factor must be >1 by definition.
So you can easily see, because the SF is in the denominator, that if the SF goes up, the resulting MAOP goes down. This is what we would expect.
However, the Federal MAOP formula is a variant of Barlow's formula:
MAOP=2*S*T * (1/D) * F * E * Thttp://www.law.cornell.edu/cfr/text/49/192.105
T=Temperature derating Factor
Notice in the federal formula, the it twists Barlow's formula, so that the Safety Factor is in the numerator! This means you must take your Barlow's Formula SF and use instead 1/SF, written as an inverse. So you want a Safety Factor of 10, you have to use 1/10 in the federal MAOP formula.
So if F*E*T = 0.1 in the Federal Formula,
this is equivalent to a Safety Factor of 10 in Barlow's formula.
And if F*E*T = 1, this is like a SF=1, meaning, no safety factor.
This is solely a function of Class:
- Class 1=0.72 (SF=1.39) Rural
- Class 2=0.6 (SF=1.7)
- Class 3=0.5 (SF=2)
- Class 4=0.4 (SF=2.5) Cities
49 CFR 192.113 - Longitudinal joint factor ( E ) for steel pipe.
http://www.law.cornell.edu/cfr/text/49/192.113
Range is from E=1 (SF=1, no safety factor)
to E=0.6 (SF=1.67)
NOTE that ERW, and EFW are specifically mentioned in the regs,
however they have an E=1 (no safety factor!!)
however they have an E=1 (no safety factor!!)
49 CFR 192.115 - Temperature derating factor ( T ) for steel pipe.http://www.law.cornell.edu/cfr/text/49/192.115
Range from T=1.0 for 250'F (no safety factor)
to T=0.867 for 450'F (SF=1.15)
So if we calculate the cumulative
F(min) * E(min) * T(min) = 0.4 * 0.6 * 0.867 = 0.20808, SF=4.8
F(max) * E(max) * T(max) = 0.72 * 1 * 1 = 0.72, SF=1.39
This does not take into account pipelines rated under Alternate MAOP.
More soon...
BH
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