Re: St. Venant's principle



On 4 Dec 2005 03:02:52 -0800, jrm2002@xxxxxxxxxxxxxx wrote:

>Can one give me an intuitive example explaining St. Venant's
>principle??
>Plz. help!!


I'll take a shot at it....

Consider a disk of 12 inch diameter with a central hole of 6 inch
diameter. This annulus is acted on by a system of forces all in the
plane of the annulus: 36 forces evenly spaced around the perimeter
stretching the annulus directly away from the center..
If this system were replaced by three equally spaced forces on the
perimeter, each twelve times as strong as before, pulling away from
the center - the annulus would be distorted in a quite different way.

Now consider a central 6 inch hole in a disk of diameter 20 feet.

The forces near the hole would be comparable if the edge forces were
spaced even round the perimeter - 3 or 36 of them as before.
Distortion is reduced when the systen of forces grows distant.

Any help?

Brian Whatcott Altus OK
.



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