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Pipeline Wall Thinning Formulae?

04/04/2011 5:10 AM

Hello sirs! Im just new babie in Pipeline/piping engineering. Please explain and advice me the Pipe wall thinning formula for bending (in percentage) by PD 8010: t=50/(n+1) %, where n-inner bend radius divided by pipe diameter. We have the project of 12" pipe, minimum bend radius is required as 5D and FEED Contractor has calculated the thinning percentage of 9.6% by the formula above and i can't understand how to get this percentage value and what is inner bend raidus. Please help. Thank you in advance.

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#1

Re: Pipeline Wall Thinning Formulae?

04/04/2011 10:01 AM

Only thing I can think of is perhaps the FEED Contractor has taken bend radius as 5D to the bend centreline, rather than inside the bend. This is more normal - e.g. a standard 1.5D bend has radius 1.5D to the bend centreline.

If so, in your case the inner bend radius is 4.5D and the formula gives 50/(4.5 + 1) = 9.1%. Not spot on but not a mile out.

Also, what does PD 8010 mean by pipe diameter - nominal bore, actual bore, or OD? If you take bend radius = 4.5*12" (nominal bore) but divide by 12.75" (OD) you get 50/(4.5*12/12.75 + 1) = 9.55%.

Cheers...........Codey

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#2
In reply to #1

Re: Pipeline Wall Thinning Formulae?

04/05/2011 3:22 AM

Thank you so much for your quick response. Is that OK if Contractor takes 4.5*12" (nominal bore) but divide by OD? The value of 9.6% i think perhaps they got from that way. Thank you.

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#3
In reply to #2

Re: Pipeline Wall Thinning Formulae?

04/05/2011 7:36 AM

Glad to help, but as to Is that OK if Contractor takes 4.5*12" (nominal bore) but divide by OD? - I've no way of knowing. You need to study PD 8010 to be sure what it says, and perhaps discuss with the contractor, including the definition of bend radius.

But the difference is unlikely to be significant. What is the thinning calc used for? If it's to check that the wall thickness is still OK for the pressure, it would have to be very near the limit if 10% reduction takes it above allowable stress.

Cheers.........Codey

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#4
In reply to #3

Re: Pipeline Wall Thinning Formulae?

04/05/2011 8:21 AM

Thank you sir!

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#5

Re: Pipeline Wall Thinning Formulae?

04/06/2011 7:33 AM

% thinning in bends is defined as

= (R0-R)/R0

Where R0 = Outside Radius and R = Centerline radius of the bend pipe.

ie

If we take D = Inside bend radius (ie bending mandrel radius) and

d = Tube Diameter (OD) then

R = D + d/2

R0 = D+d

Then % Thinning

= (R0-R)/R0

= ((D+d - (D+d/2))/ (D+d)

= d/2 / (D+d)

= ½ x 1 / (D/d+1)

= ½ x 1/(n+1) by your terminology

which converted to % form becomes

= 50/(n+1)

if n = D/d = Inside bend radius/ Tube OD

Hence the contractor calculation of taking 12.75" is correct.

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#6
In reply to #5

Re: Pipeline Wall Thinning Formulae?

04/06/2011 11:11 AM

Thank you

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#7
In reply to #5

Re: Pipeline Wall Thinning Formulae?

04/07/2011 5:51 AM

Your calculation derives the formula t=50/(n+1) %, but it doesn't answer the OP's question.

If the FEED contractor had taken bend radius 5D (where D = pipe dia, not your Inside bend radius!) on same basis as PD 8010 i.e. inside bend radius, t = 8.3%.

Need to make some assumption such as mine in #1 to get somewhere near 9.6%. Assuming 5D is to bend centreline, inside bend radius = 4.5D which gives t = 9.1%, whether D is nominal, ID or OD, as it cancels.

To get closer to the 9.6% figure, I guessed that FEED contractor had taken inside bend radius as 4.5*Dnom, but divided by OD to find n. It might be a coincidence that this comes close to 9.6%, which is why it's a good idea for OP to discuss with FEED.

Cheers........Codey

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#8
In reply to #7

Re: Pipeline Wall Thinning Formulae?

04/07/2011 7:27 AM

You are right. After derivation and confirming that it is the OD of the pipe/Tube and not nominal diameter, i didn't cross check the values.

However there are some other interesting calculations available

eg the I factor of B31 (the divisor for the allowable stress limits) are

I = (4B-1)/ (4B-2) for intrados (inside wall of the tube)

= (4B+1)/(4B+2) for extrados (outside wall)

B = (Centerline Bend radius of the Pipe/Tube )/ Outside diameter of the tube.

And the codes usually mentions the B as the bending radius multiplier which will be 5 in this case.

So I for the extrados in this case with B=5 will be 21/22 = 0.9545

Again suspiciously similar to the contractor's value except the decimal positions .

BTW - OP bay get hold of the BS PD8010 and check it up?

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#9
In reply to #8

Re: Pipeline Wall Thinning Formulae?

04/07/2011 8:34 AM

OK thanks. OP didn't come back with answer to my question What is the thinning calc used for?

Cheers.........Codey

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#10
In reply to #9

Re: Pipeline Wall Thinning Formulae?

04/07/2011 9:03 AM

thank you and sorry for late response. The thinning calculation has been used for Bend Wallthickness determination of mother linepipe using for induction bend.

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