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Re: [Phys-L] Bourdon tube foundations



On 10/26/2012 10:56 AM, Roberto Carabajal wrote:
Hello:
Please, I would appreciate a link to a detailed description of the Bourdon
tube gauge pressure operation, because in general what I have founded show
the final formula but not the foundations including Hooke`s and Young`s
laws.
Thanks for your time.
My best regards.
Rob
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Perhaps, depending on the age of the target audience, an explanation could be offered which provides more toehold for the intellect?
I visualize a concertina walled tube, restrained along one lengthwise surface strip with a tape. If this device is inflated, it will curl towards the tape. There is no great difficulty here.

If we make such a tube in a curve, we may fix a flexible tape to either the exterior ridges at the perimeter, or at the most minor perimeter. It will be evident that a structure of this kind can be made to uncurl, or to curl, when inflated.

It's true that this leaves the educator with a remaining bridge to cross: how to explain the necessity of an elliptical cross section, if we would avoid a pleated arrangement?

Perhaps one could argue from the geometry: for circular arcs bound together by structure an action which necessitates their distance increasing but their length remaining the same is resolved by an increased radius for both?

Brian W