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#42106 - 04/01/11 09:11 AM Pressure Stiffening SIFs
whomighyoube Offline
Member

Registered: 04/01/11
Posts: 1
Loc: UK
For D/t of 64 and 80 I am getting higher SIFs and hence higher stress ranges for elbows when I reduce the pressure, everything else being equal. This is because the pressure stiffening option is at default (ie on). B31.3 Appendix D note 1 says SIFs from table D300 are valid for D/t <=100 so why is this option default on ? If I switch off pressure stiffening then the SIFs are much larger as I believe the k and SIF values tare not then reduced by note 7 values.

Should the pressure stiffening be switched off when considering stress ranges for pipes where D/t is <=100?

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#42283 - 04/07/11 08:43 AM Re: Pressure Stiffening SIFs [Re: whomighyoube]
danb Offline
Member

Registered: 04/22/05
Posts: 1453
Loc: ...
What caesar version do you use?

Pressure stiffening option is not used anymore. Read this:

http://65.57.255.42/ubbthreads/ubbthreads.php?ubb=showflat&Number=41676#Post41676

Regards,
_________________________
Dan

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#42286 - 04/07/11 01:19 PM Re: Pressure Stiffening SIFs [Re: whomighyoube]
mariog Offline
Member

Registered: 09/29/07
Posts: 798
Loc: Romania
For some clarifications you can see "Effect of Internal Pressure on Flexibility and Stress-Intensification Factors of Curved Pipe or Welding Elbows, E.C. RODABAUGH AND H.H. GEORGE".
You can see the article in a famous book, Tube Turns INC. - Piping Engineering.

I think the paper attached - a mix from two pages of article- does answer on your question about the range of D/t considered by authors.

You can consider this effect if significant for your application, but just be sure the pressure you are going to consider is a value coincident with temperature you consider in analysis.

Best regards.









Attachments
Pressure reducing k and i.pdf (600 downloads)



Edited by mariog (04/07/11 02:11 PM)

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#42287 - 04/07/11 01:35 PM Re: Pressure Stiffening SIFs [Re: danb]
mariog Offline
Member

Registered: 09/29/07
Posts: 798
Loc: Romania
I think "pressure stiffening of straight pipes" was named in previous versions "Stress Stiffening due to Pressure" maybe giving some confusion.

The question was related to the effect of internal pressure on reducing the flexibility and stress-intensification factors which is allowed by 31.3 Code because "in large diameter thin-wall elbows and bends, pressure can significantly affect the magnitudes of k and i".

Regards.



Edited by mariog (04/07/11 01:49 PM)

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#42329 - 04/11/11 03:35 AM Re: Pressure Stiffening SIFs [Re: mariog]
mariog Offline
Member

Registered: 09/29/07
Posts: 798
Loc: Romania
A little deviation related to the theoretical aspects.

Having the opportunity to read the theoretical development of the Appendix 1 of the quoted article, an engineer would find as quite cryptic the academic work of von Karman, Vigness, Rodabaugh and George. I think a more accessible explanation (unfortunately the model there does not consider pressure but only bending) can be found in an excellent book- "Advanced strength of materials"- Den Hartog.

Basically the key in understanding what model considered are the sentences "there exists a means for the fibers to [partially] escape being extended and compressed" and "this requires the pipe to swell sidewise and acquire an ellipse-like cross section"- I quoted from subchapter 34, "Bending of thin-walled Curved tubes".
The method is counting the total energy stored in pipe and applying "the Theorem of Least work". They are a lot of approximations made in theoretical development and Den Hartog’s book does a good job explaining them.

It should be noted that Rodabaugh and George made a great improvement by counting the cumulative effects of bending and pressure, but the calculation principles remain the same.

Turning now the discussion to other theoretical aspect, the "rotational Bourdon" theory presents a different model that is validated under some circumstances and has also practical applications. The section is initially rather flattened and we count a new equilibrium, bend shape and cross-section shape; this could be done counting again the total energy stored and eventually predicting effects as displacements and rotation of the "free end".

I would say that these two theoretical models have some connections –maybe despite the common engineering perception- but they are developed in different mathematical ways under different assumptions.
Would both effects be considered for practical applications? In my opinion no; without entering in more details, my point is that an energetic approach of the model cannot count in two ways the total energy in pipe by giving two related consequences for calculation; better said, such effects wouldn't be superimposed. Eventually we have unique pipe energy associated with M and p and the effect of this energy is unique.

For this theoretical reason, taking into account the fact experiences (and Codes) validated the works of Rodabaugh & George, I can see no theoretical reason to consider "pressure stiffening in bends" together with "rotational Bourdon".


Edited by mariog (04/11/11 05:08 AM)

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