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Mathematics 10 Online
OpenStudy (carlj0nes):

How to work out "Leak-Before-Break" on a pressure vessel. This will be used to help identify a suitable material/ materials hence the material is currently not chosen nor is the wall thickness. Constraints:- Internal working pressure 10,000 PSI or 6.8948e+7pa but will need to also have a safety factor of 2.25 = 22,500PSI or 1.55132e+8pa. Volume=0.8619m^3. Internal radius is 0.4m. Free Variables:- Material (must be composite) Wall thickness

OpenStudy (carlj0nes):

Other working out for the same question

OpenStudy (astrophysics):

What do you mean, it's all given?

OpenStudy (carlj0nes):

sorry where have I put its all given?

OpenStudy (astrophysics):

I don't understand your question

OpenStudy (astrophysics):

Can you explain what exactly you need help with

OpenStudy (carlj0nes):

I need to have a complete equation that gives an answer for a leak before break scenario on a pressure vessel.

OpenStudy (astrophysics):

|dw:1449992619362:dw|

OpenStudy (astrophysics):

What is this then..

OpenStudy (carlj0nes):

Wasn't sure that was correct hence why I put it in the word document attached. Question is though how can I put my data in this question to get an answer

OpenStudy (astrophysics):

Ah gotcha

OpenStudy (astrophysics):

From your equation I get you need the toughness of the material and the standard deviation, but I've never done this, it seems @Michele_Laino will know :)

OpenStudy (michele_laino):

hint: we can apply this formula: \[\huge t = \frac{{pD}}{{200\sigma Z}}\] where \(p\) is the interior pressure, \(\sigma\) is the unit tension of safety, it depends on material, and \(Z\) is a coefficient which depends on the welding type

OpenStudy (astrophysics):

Ah so that's what it is!

OpenStudy (michele_laino):

yes! it is the formula of \(Amburgo\)

OpenStudy (astrophysics):

Interesting :P

OpenStudy (carlj0nes):

quick question @Michele_Laino if my material is a composite with no welding what do I put for z

OpenStudy (michele_laino):

more precisely: \(p\) is measured in \(kPa\) \(D\) is the diameter, which is measured in \(mm\) \(\sigma\) is measured in \(N/mm^2\)

OpenStudy (michele_laino):

I don't know, the value of \(Z\) in the case of composite material, nevertheless, from my textbook, I read that the range of value for \(Z\), can be from \(0.5\) to \(0.8\). Such range refers to the welding case

OpenStudy (michele_laino):

I have an old textbook, and there, it speaks still of welding

OpenStudy (carlj0nes):

would this be due to composite pressure vessels being relatively new.

OpenStudy (michele_laino):

yes! I think so!

OpenStudy (michele_laino):

oops.. of course, \(t\) stands for thickness

OpenStudy (carlj0nes):

What if we were to make up a requirement for thickness to be **.

OpenStudy (michele_laino):

In that case , I think that we can ask for the material type needed for making such vessel

OpenStudy (carlj0nes):

the problem is I shall be researching into possible materials. this is why I need some values first so when I use CES edupack it helps reduce the materials available.

OpenStudy (carlj0nes):

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