Pipe radial expansion due to internal pressure 4

[Philip54US]

I would like to calculate the increases in internal diameter and external diameter in a pipe full of water when the pipe is pressurized.

Could anybody provide the formulas or advise where I can find them?

The ratio R/t is 8.625.

Thanks

 

[gwynn]

The hoop stress will give you the change in length of the dianeter, which in turn gives the change in radius.

With r/t>5 Hoop stress can be taken as pressure*radius/thickness

 

[miecz]

[Δ]r=pr[²]/Et. You may want to think about thermal expansion/contraction as well.

 

[JStephen]

Depending on the details, there may be a minor correction for lengthwise effects as well.

If the pipe is out-of-round, it will tend to round up when pressurized.

 

[desertfox]

Hi Philip54US

If your pipe wall is more than 1/10 of the radius which I suspect it is then you need to use Thick Walled Cylinder Theory see page 6 of this link titled "Constitutive Equations".

regards

desertfox

 

[desertfox]

Hi sorry

here's the link:-

http://www.utm.edu/departments/engin/lemaster/Machine Design/Lecture 13.pdf