<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=Content-Type content="text/html; =
charset=iso-8859-1">
<META content="MSHTML 6.00.2800.1276" name=GENERATOR></HEAD>
<BODY bgColor=#ffffff>
<DIV>Hi Ric,</DIV>
<DIV> </DIV>
<DIV><FONT face=Arial size=2>You're right! You came up with =
the same
thing! (duh) 8-P Of course I did make it more user
friendly. ;-) I think you have too much faith that people =
know how
to use mathematical formulae without being given detailed
instructions.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>I <STRONG>also</STRONG> think... =
that you
enjoy mathematics far more than you let on! I always enjoyed =
things
mathematical -- very satisfying to solve a difficult problem. My
dissertation was very mathematical as well. I do recognize others =
who have
caught this bug! ;-)</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Peace,</FONT></DIV>
<DIV><FONT face=Arial size=2>Sarah</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<BLOCKQUOTE dir=ltr
style="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>
<A title=Richard.Brekne@grieg.uib.no
href="mailto:Richard.Brekne@grieg.uib.no">Richard Brekne</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A =
title=pianotech@ptg.org
href="mailto:pianotech@ptg.org">Pianotech</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Thursday, December 11, =
2003 1:50
PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> Re: Rib =
dimensions</DIV>
<DIV><BR></DIV>
<P>Sarah Fox wrote:
<BLOCKQUOTE TYPE="CITE">
<STYLE></STYLE>
<FONT face=Arial><FONT size=-1>Hi =
Terry,</FONT></FONT> <FONT
face=Arial><FONT size=-1>OK, here's a more user-friendly method =
for you that
will give you the correct position of the rib anywhere along its
length. (You can also use this method to plot out points on a
template. Compute numerous points and connect the dots.
:-)</FONT></FONT> <FONT face=Arial><FONT size=-1>Clamp any =
part of the
rib against a flat surface, concave side up (soundboard side =
down).
With this arrangement, let:</FONT></FONT> <FONT =
face=Arial><FONT
size=-1>h = the height of the rib above the flat
surface</FONT></FONT> <FONT face=Arial><FONT size=-1>r = =
radius of the
rib</FONT></FONT> <FONT face=Arial><FONT size=-1>d = the =
distance along
the rib you are measuring, with respect to the clamp point. =
For
instance, if you clamp in at the middle of a 4 ft rib and measure at =
the
end, d would be 2. Of course this is approximate. More
accurately, d would be the distance from the clamp point to the =
position
<B>on the flat surface, directly underlying the measurement =
point</B>.
(Think right triangles.)</FONT></FONT> <FONT face=Arial><FONT =
size=-1>Then:</FONT></FONT> <FONT face=Arial><FONT =
size=-1>h = r - Sqrt
( r^2 - d^2)</FONT></FONT> </BLOCKQUOTE>
<P>Which is exactly what I wrote in my last post, exept I didnt =
specify that
you could measure anywhere along the rib... figuring that was kind of =
self
explanitory.. :)
<P>""You could also do this simply by r - Sqrt( r ^2 -
(0.5L)^2) L being the length of the rib. "" <BR>
<P>What I thought was neat about all the replies... is that we came =
out with
two basic approaches... solving for crownheight, and solving for =
radius. So
you can check either way you set up your rib jig. If you want a 60 =
foot
radius.. then use the above... if you want to use a certain =
crownheight and
want to be sure what radius you are imposing.. then use the formula =
Ron N put
out.
<P>Cheers <BR>RicB <BR>
<P>-- <BR>Richard Brekne <BR>RPT, N.P.T.F. <BR>UiB, Bergen, Norway =
<BR><A
href="mailto:rbrekne@broadpark.no">mailto:rbrekne@broadpark.no</A> =
<BR><A
=
href="http://home.broadpark.no/~rbrekne/ricmain.html">http://home.broad=
park.no/~rbrekne/ricmain.html</A>
<BR><A
=
href="http://www.hf.uib.no/grieg/personer/cv_RB.html">http://www.hf.uib=
.no/grieg/personer/cv_RB.html</A>
<BR> </P></BLOCKQUOTE></BODY></HTML>