Thanks, bimr(and good pic). I will attempt a little elaboration however on your third sentence, "This will lead to a tendency for the pipe to straighten at bends (the Bourdon effect)."
While it is arguable how much there is to be worried concerning same, I think there may be in general be some misunderstanding of the "Bourdon" effect. Actually, as I envision it Bourdon effect can be in effect a tendency towards lengthening of a pipeline caused by effects of pressure thrust in e.g. the approaches to at least a non-externally blocked or anchored major thrust focus like a bulkhead or closed valve etc. on the end of a line. [I guess however that lengthening in the case of a near full circle/circular "Bourdon tube"-based pressure gauge e.g. does result in a larger circle, in effect/indeed "straightening" that curvature some, and additionally toggling a lever at the end attached to the gauge needle to multiply the effect.]
I saw L.C. Peng has in the past referred to Bourdon effect as "pressure elongation", and in the case it appeared at least of a bulkhead or closed valve on the end of a line case he represented same with some rigor in strain magnitude as "e1" = PD(1-2µ)/(4tE).
While in the real world of quite stiff (welded or flanged steel piping most on these lists are familiar with) I believe the Bourdon and at least somewhat off-setting and also pressure-related "Poisson" contraction effects may indeed be measured in only "mm's" (as mentioned by LittleInch), I should note this is not necessarily true of e.g. polymeric-type pipes, that have quite low short-term elastic moduli to begin with, and that relatively very low short-term modulus in fashion non-obvious to some may even be effectively reduced several times less in some cases when loads are applied in the longer-term. Greatly increased strain is due to the pressure elongation strain as related by Peng above being inversely proportional to the effective Young's modulus.
Out of curiosity, I looked at a case of a 30" O.D. (little more than 24"ID) DR11 hdpe pipe that had one free end and the other anchored 100 m (of course 328 ft) away, but no meaningful anchorage soil or otherwise e.g. like on rollers or frictionless supports between that and a free end (say a closed mechanical joint valve etc). I then pressurized this model to 200 psi to be held, and applied Peng's relationship. While anyone else who wants to try their own exercise can apply their own or more accurate numbers, I assumed E = 100,000 psi with µ = 0.4 for hdpe at some duration pressurization and got a resulting tensile strain of 0.0011, and thus an aggregate stretching movement of the free end then of 0.11 meters over an aggregate 100 meter length (i.e. 110 mm or about 4-3/8"). I then did the same thing for a 24" OD steel pipe 6.35 mm (0.25") thick the same length and got a Bourdon tensile of only 0.0001 and a movement of the free steel end of only 6.4 mm (apparently verifying the statement of LittleInch), nearly 20 times less than the plastic! [I guess I should probably also mention thermal movements can be much more, and if the pipe is heating up as some do after installation, the additional thermal growth of the plastic can be even much greater than this, and also much exaggerated relative to the metal, in that the coefficient of thermal expansion may also be 15-20 times that of the steel!] Such movements are perhaps things that may need to be considered in at least some situations e.g. at changes in direction and some inevitable transvrse connections to pipelines.
If one really wants to understand Bourdon effect, get hold of a cylindrical, tube balloon (like used to tie balloon "poodles etc), blow it up with air pressure, and observe closely what happens.
All have a good weekend.