evaluating sdbd. crown & bridge downbearings in a new piano

Richard Brekne richardb@c2i.net
Wed, 22 Sep 1999 10:16:22 +0200


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>
> <<"A so called "compression" crowned soundboard in an unloaded state will
> have the fibers in the top half of the board subjected to tension and those
> in the bottom subjected to compression">>
>
>
>  What is an "unloaded state" in a compression crowned board?.....do you mean
> a board with no pressure, i.e., downbearing placed on it?  A compression
> board by definition is "loaded" with or without downbearing...isn't it?
>

Intuitively, it would seem reasonable that if you take a, say 1/4inch thick, by
2inch wide and say 3 feet long board and bend this to some degree of arch and
then secure the ends so that the arch is supported by the constraints imposed by
the lenght of the secured ends, the following conditions exist:

the convex side off the board will be "stretched" (ie under tension), and the
concave side will be "squeezed"  (ie under compression).

When some load then is applied to the convex side of the board then it would be
reasonable (again intuitive thinking here), to assume that the compression of the
board will increase on both sides. The ends are secured so they cant move, that
would mean that even tho the concave side would "flatten out" a bit with the
load, it would also be further "squeezed" due to lack of mobility at the
endpoints. The convex side would  be "squeezed" in relationship to its present
"stretched" condition. Just how much load would be neccesarry to bring the convex
side into compression relative to its natural state is beyond me, but I would
think it would be sometime before the board was completely flattened by the load.

This would seem to describe (oversimplyfied and taken to an extreme) the
situation in a soundboard crowned by forcing it onto a curved rib structure.

I am wondering then just how,  this picture changes by using humidity to
facilitate the crowning process. Something tells me that "growing" a crown, is
bound to affect the structure of the wood differently the "forceing" the crown.

Also,, the difference between gluing straight ribs on a crowned board and gluing
curved ribs on a flat board.... and what happens to each when these are then
placed under load... Ron seemed to have the best explanation there... but I would
like a bit more clarification.

All science aside for the moment... my gut feeling tells me that "natural"
(excuse the term) crowning is somehow better then forced crowning, tho
undoubtably it is more vunerable to bad climate control. Still, Rons postings are
very convincing.... even tho interestingly enough he ended his last with:

Early failure is designed into a compression crowned
board. The surprise is that some last as long, and perform as well as they do.

Richard Brekne
I.C.P.T.G.  N.P.T.F.
Bergen, Norway





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