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Contained volume of elbows and reducers

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KernOily

Petroleum
Jan 29, 2002
711
Guys do any of you have any reference material on the volume contained inside standard forged pipe elbows and reducers? I can make some assumptions but I need to be a bit more accurate that that, if possible. Yes, I can do a double integral, but that's the last resort... Hoping someone has it tabulated someplace!

Thanks!
Pete
pjchandl@prou.com
 
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If you have a chart with sizes I will do the calcs using acad.
Pardal
 
Are you looking for formula's?

A torus (=360 deg. elbow) has volume 1/2 x pi^2 x D^2 x R
i.e a 90 degree elbow has volume
1/4 x 1/2 x pi^2 x D^2 x R and so on

A cone (=Conc. reducer)
(pi x L)/12 x (D^2+d^2+Dxd)
(D & d = large & small Dia)

Question is where do you find the REAL wallthickness of say a 6" SCH 80 elbow to ASME B16.9 This is not listed in ASME B16.9
The wallthickness must be larger than 10.97mm as otherwise it would not be able to withstand the same pressure as a 6" SCH 80 pipe. (Refer the DIN standards where elbows with "full utilisation factor" have increased wallthickness)

Regards
Mogens
 
Well it just goes to show you that sometimes the obvious answer is right in front of your face. Thanks Mogens! I had not thought to use 1/4 of a torus volume for the elbow. Duh. - Pete Thanks!
Pete
pjchandl@prou.com
 
The wall thickness is the same Sch of the pipe.
If you have the radi of eac elbow I will apreciatte if you could send it to me.
k281969@hotmail.com
Pardal
 
Pardal,

I beg to differ. The wall thickness is AT LEAST 87.5% of the nominal schedule thickness. For forged fittings, the wall thickness in some or all of the forging may be significantly in excess of 100% of the nominal value.
 
To Pardal
Just to add to Buteljas reply:

DIN 2605 (german standard for elbows) has two parts:
Part one for elbows with "reduced utilization factor" and part two with "full utilization factor"

Part one elbows have wall thickness corresponding to that of pipe and have lower design pressure than pipe.

Part two have wallthickness in excess of the corresponding pipe (but same thk at the bevel ends) and have same design pressure as pipe.

ASME elbows are all with "Full utilization factor", i.e. they're thicker(on the inside radius, maybe slightly thinner on the outside), only the actual wallthickness of the elbow (not the one at the bevel ends) is not listed in the standard.

Its the same with tees. They are thicker around the outlet.

regards
Mogens
 
Hi Mgp:

Where I can get the true sizes ???

Pardal Pardal
 
Pardal
I don't know where to get the ASME fitting thk. as they're not listed in the ASME B16.9 Standard.

Wallthickness of the DIN fittings you can find in

DIN 2605 (Elbows)
DIN 2615 (Tee's)
DIN 2616 (Reducers)

Regards
Mogens
 
Guys I think you might be splitting hairs in regard to the calculation that I need. A difference in wall thinckness of 5% won't make much difference to my need in this case.

I ended up using 1/4 the volume of a torus for the 90's and assumed the wall thinckess was uniform around the bend, which of course it is not. For the reducers I used the volume of a truncated cone. Close enough for my needs, this time...

Thanks for your replies! Thanks!
Pete
pjchandl@prou.com
 
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