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<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>
<A title=Erwinspiano@AOL.COM
href="mailto:Erwinspiano@AOL.COM">Erwinspiano@AOL.COM</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A =
title=pianotech@ptg.org
href="mailto:pianotech@ptg.org">pianotech@ptg.org</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> May 06, 2002 5:31 =
PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> Re: Curve on Bridge =
Bottom</DIV>
<DIV><BR></DIV><FONT face=arial,helvetica><FONT lang=0 =
face="Times New Roman"
color=#000040 size=3 =
FAMILY="SERIF"><I>snip--snip--snip<BR></FONT><FONT lang=0
style="BACKGROUND-COLOR: #ffffff" face=Arial color=#000000 =
size=2
FAMILY="SANSSERIF"></I>
<BLOCKQUOTE
style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #0000ff 2px =
solid; MARGIN-RIGHT: 0px"
TYPE="CITE"></FONT>
<BLOCKQUOTE
style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #0000ff =
2px solid; MARGIN-RIGHT: 0px"
TYPE="CITE"><FONT lang=0 style="BACKGROUND-COLOR: #ffffff" =
face=Arial
color=#000040 size=2
=
FAMILY="SANSSERIF"> &nbs=
p;  =
; =
Richard,
=
Terry<BR> &nbs=
p;
It doesn't take much to flatten an unsupported rib as it =
doesn't
really take on its maximum stiffness till after it becomes part of =
the ply
wood componet comprising the whole soundboard system at which =
point the
cumulative resistive forces of cross banded woods and compression =
takes
effect.... </FONT><FONT lang=0 style="BACKGROUND-COLOR: =
#ffffff"
face="Times New Roman Greek" color=#000040 size=3
FAMILY="SERIF"><BR></BLOCKQUOTE><BR><EM>Rather depends on the =
cross-section
of the rib, doesn't it? </EM></FONT><FONT lang=0
style="BACKGROUND-COLOR: #ffffff" face="Times New Roman Greek" =
color=#000000
size=3 FAMILY="SERIF"><BR></FONT><FONT lang=0
style="BACKGROUND-COLOR: #ffffff" face=Arial color=#000000 =
size=3
FAMILY="SANSSERIF"><BR></FONT><FONT lang=0 =
style="BACKGROUND-COLOR: #ffffff"
face=Arial color=#000040 size=3 =
FAMILY="SANSSERIF"><EM>Del</EM></FONT><FONT
lang=0 style="BACKGROUND-COLOR: #ffffff" face=Arial =
color=#000000 size=3
FAMILY="SANSSERIF"><BR></FONT><FONT lang=0 =
style="BACKGROUND-COLOR: #ffffff"
face="Times New Roman Greek" color=#000040 size=3
FAMILY="SERIF"><BR></BLOCKQUOTE>
=
<DIV><EM> &nbs=
p;
Yes, but of course, the stiffening idea of the two componet =
forces
combined was what I was trying to illuminate and the thicker the rib =
the
stiffer the cumulitive effect or perhaps you disagree? Well ,I mean =
unless
were talking 2 by 4s which would cut the boards contribution out =
of the
equation
=
altogether.<BR>...........Dale>>>>>>>>>></E=
M></DIV>
<DIV><EM></EM> </DIV></BLOCKQUOTE>
<DIV><FONT face="Lucida Sans" color=#000080></FONT> </DIV>
<DIV><FONT face="Lucida Sans" color=#000080>Let's just say I
agree conditionally.... </FONT></DIV>
<DIV><FONT face="Lucida Sans" color=#000080></FONT> </DIV>
<DIV><FONT face="Lucida Sans" color=#000080>The rib--at least in a =
rib-crowned
board and somewhat simplistically--is an end-supported,
center-loaded structural beam. In principle the load-carrying =
capacity of
this type of beam is a function of the cube of its height. </FONT><FONT
face="Lucida Sans" color=#000080>But, its load-carrying capacity is =
also a
function of the strength characteristics of the material making up =
the beam
and an assumption is made </FONT><FONT face="Lucida Sans" =
color=#000080>that if
the height of the beam is increased it will be done so with a material =
having
strength characteristics that are uniform throughout. </FONT><FONT
face="Lucida Sans" color=#000080>Especially in its tensile and =
compression
strength characteristics. </FONT></DIV>
<DIV><FONT face="Lucida Sans" color=#000080></FONT> </DIV>
<DIV><FONT face="Lucida Sans" color=#000080>When loaded, =
this type of rib
will be under tension along its bottom surface and under compression =
along its
top surface. Now, a characteristic of woods such as spruce and =
pine is
that they have reasonably high compression and tensile strength in line =
with
their grain but quite poor compression and tensile strength =
perpendicular to
their grain. </FONT></DIV>
<DIV><FONT face="Lucida Sans" color=#000080></FONT> </DIV>
<DIV><FONT face="Lucida Sans" color=#000080>In the situation you =
describe the
soundboard panel will be glued to the top of the rib and this will,
indeed, increase the overall height of the 'beam' and make the =
assembly
some stiffer. However, when the assembly is loaded the soundboard =
panel--by
virtue of its grain orientation at approximately 90º to the rib--will =
be placed
under compression perpendicular-to-grain. Since its compression strength =
in this
orientation will be considerably lower than that of the top part of the =
rib it
will not increase the stiffness of the assembly by the expected =
relationship.
</FONT></DIV>
<DIV><FONT face="Lucida Sans" color=#000080></FONT> </DIV>
<DIV><FONT face="Lucida Sans" color=#000080>As well, both of these =
woods are
prone to early compression-set when stressed under compression
perpendicular-to-grain. </FONT></DIV>
<DIV><FONT face="Lucida Sans" color=#000080></FONT> </DIV>
<DIV><FONT face="Lucida Sans" color=#000080>So, yes, gluing the =
soundboard panel
to the top of the rib[s] will increase the stiffness of the assembly. =
But not by
much and not for long.</FONT></DIV>
<DIV><FONT face="Lucida Sans" color=#000080></FONT> </DIV>
<DIV><FONT face="Lucida Sans"
color=#000080>Del</FONT></FONT></FONT></DIV></BODY></HTML>