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#1414 - 11/11/03 01:31 PM Bourdon effect
wmetct Offline
Member

Registered: 06/12/03
Posts: 4
Loc: Mexico
A pipe system is working at 800psig (30" pipe; 0.842" wallthickness) it should be considered to take into account Bourdon effect ? (it is a suction pipe of gas compressor).

How CaesarII takes into account this "presure effect" the Technical reference Manual have a little explanation; Somebody could indicate technical literature to help me to understand this subject?
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William Melo

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#1415 - 11/12/03 08:50 AM Re: Bourdon effect
Richard Ay Offline
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Registered: 12/13/99
Posts: 6226
Loc: Houston, Texas, USA
For "bourdon", the user should read the "help text" for this option. Also note that "bourdon effects" are not addressed by the B31 piping codes. The CAESAR II implementation is as follows:

RESEARCH SHOWS THAT EX = (1/E) (SX - NU(SH + SR))

AS PER HARVEY, "THEORY AND DESIGN OF PRESSURE VESSELS", P. 61:

SX = P A^2/(B^2-A^2)
SR = P A^2(1-B^2/R^2)/(B^2-A^2)
SH = P A^2(1+B^2/R^2)/(B^2-A^2)

THEREFORE THE ABOVE EQUATION REDUCES TO:

EX = (1/E) (P A^2/(B^2-A^2) -
NU(P A^2(1+B^2/R^2)/(B^2-A^2) + P A^2(1-B^2/R^2)/(B^2-A^2)))

OR:

EX = (P A^2/(B^2-A^2) (1 - 2 NU)) / E

where EX is a strain introduced on the pipe element per unit length. In the above equations, "A" is the inside radius,"B" is the outside radius, "NU" is poissons ration, and "E" is the elastic modulus.
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Richard Ay - Consultant

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#29535 - 08/27/09 06:10 AM Re: Bourdon effect [Re: Richard Ay]
zzw Offline
Member

Registered: 01/14/09
Posts: 38
Loc: china shanghai
I'M so sorry,i don't have the book "THEORY AND DESIGN OF PRESSURE VESSELS"
what's the 'R'?could you explain it?thanks


Edited by zzw (08/27/09 06:11 AM)

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#29546 - 08/27/09 10:51 AM Re: Bourdon effect [Re: zzw]
Richard Ay Offline
Member

Registered: 12/13/99
Posts: 6226
Loc: Houston, Texas, USA
"R" is the measurement of the radius where you are trying to caluclate the stress. Therefore "R" varies from "A" (the inside radius) to "B" (the outside radius).
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Richard Ay - Consultant

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