<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=us-ascii"><meta name=Generator content="Microsoft Word 12 (filtered medium)"><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style><![endif]--><style><!--
/* Font Definitions */
@font-face
        {font-family:Calibri;
        panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
        {font-family:Tahoma;
        panose-1:2 11 6 4 3 5 4 4 2 4;}
@font-face
        {font-family:Consolas;
        panose-1:2 11 6 9 2 2 4 3 2 4;}
@font-face
        {font-family:"Comic Sans MS";
        panose-1:3 15 7 2 3 3 2 2 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
        {margin:0in;
        margin-bottom:.0001pt;
        font-size:11.0pt;
        font-family:"Calibri","sans-serif";}
a:link, span.MsoHyperlink
        {mso-style-priority:99;
        color:blue;
        text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
        {mso-style-priority:99;
        color:purple;
        text-decoration:underline;}
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
        {mso-style-priority:99;
        mso-style-link:"Plain Text Char";
        margin:0in;
        margin-bottom:.0001pt;
        font-size:10.5pt;
        font-family:Consolas;}
p.MsoAcetate, li.MsoAcetate, div.MsoAcetate
        {mso-style-priority:99;
        mso-style-link:"Balloon Text Char";
        margin:0in;
        margin-bottom:.0001pt;
        font-size:8.0pt;
        font-family:"Tahoma","sans-serif";}
span.PlainTextChar
        {mso-style-name:"Plain Text Char";
        mso-style-priority:99;
        mso-style-link:"Plain Text";
        font-family:Consolas;}
span.BalloonTextChar
        {mso-style-name:"Balloon Text Char";
        mso-style-priority:99;
        mso-style-link:"Balloon Text";
        font-family:"Tahoma","sans-serif";}
span.EmailStyle21
        {mso-style-type:personal;
        font-family:"Comic Sans MS";
        color:navy;
        font-weight:normal;
        font-style:normal;
        text-decoration:none none;}
span.EmailStyle22
        {mso-style-type:personal-reply;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
.MsoChpDefault
        {mso-style-type:export-only;
        font-size:10.0pt;}
@page WordSection1
        {size:8.5in 11.0in;
        margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
        {page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1027" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span style='color:#1F497D'>It’s a graphic illustration not one derived from actual data, it’s an illustration. You press the board down it gets progressively stiffer. You’re not suggesting that the deflection of the assembly is purely linear are you? <o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:#1F497D'>The discussion was whether a rib bent and clamped to the rim while bent supports load before it goes negative. Yes, my example is extreme.<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><div><p class=MsoNormal><span style='color:#1F497D'>David Love<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'>www.davidlovepianos.com<o:p></o:p></span></p></div><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0in 0in 0in'><p class=MsoNormal><b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'>From:</span></b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'> pianotech-bounces@ptg.org [mailto:pianotech-bounces@ptg.org] <b>On Behalf Of </b>Delwin D Fandrich<br><b>Sent:</b> Thursday, July 14, 2011 10:55 PM<br><b>To:</b> pianotech@ptg.org<br><b>Subject:</b> Re: [pianotech] Measuring Crown Radius<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><span style='font-family:"Comic Sans MS";color:navy'>No, I was talking about this picture.<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Comic Sans MS";color:navy'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Comic Sans MS";color:navy'>But as long as were talking about it, where did the data for the graph come from? By actual test?<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Comic Sans MS";color:navy'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Comic Sans MS";color:navy'>ddf<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Comic Sans MS";color:navy'><o:p> </o:p></span></p><div><p class=MsoNormal><span style='font-size:10.0pt;font-family:"Comic Sans MS";color:#632423'>Delwin D Fandrich</span><span style='font-size:10.0pt;color:#632423'><o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.0pt;font-family:"Comic Sans MS";color:#632423'>Piano Design & Fabrication</span><span style='font-size:10.0pt;color:#632423'><o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.0pt;color:#632423'>6939 Foothill Court SW, </span><span style='font-size:10.0pt;font-family:"Comic Sans MS";color:#632423'>Olympia, Washington 98512 USA<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.0pt;font-family:"Comic Sans MS";color:#632423'>Phone 360.515.0119 — Cell 360.388.6525</span><span style='font-size:10.0pt;color:#632423'><o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.0pt;font-family:"Comic Sans MS";color:#632423'><a href="mailto:del@fandrichpiano.com">del@fandrichpiano.com </a>— <a href="mailto:ddfandrich@gmail.com">ddfandrich@gmail.com</a></span><span style='color:navy'><o:p></o:p></span></p></div><p class=MsoNormal><span style='font-family:"Comic Sans MS";color:navy'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0in 0in 0in'><p class=MsoNormal style='margin-left:.5in'><b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'>From:</span></b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'> pianotech-bounces@ptg.org [mailto:pianotech-bounces@ptg.org] <b>On Behalf Of </b>David Love<br><b>Sent:</b> Thursday, July 14, 2011 10:30 PM<br><b>To:</b> pianotech@ptg.org<br><b>Subject:</b> Re: [pianotech] Measuring Crown Radius<o:p></o:p></span></p></div></div><p class=MsoNormal style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>Del:<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>Just to clarify my previous post as I sent it from a blackberry. I assume you were talking about this picture. The picture has nothing to do with how the rib is bent. In fact it has nothing to do with *<b>a rib</b>* at all but represents the entire assembly and its deflection characteristics under increasing load. The y axis represents crown and the x axis load. As the load increases the crown diminishes. The crown diminishes at a faster rate as the load is first added, but as the board stiffens with increasing load the rate of deflection per lb diminishes. That’s all. <o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f">
<v:stroke joinstyle="miter" />
<v:formulas>
<v:f eqn="if lineDrawn pixelLineWidth 0" />
<v:f eqn="sum @0 1 0" />
<v:f eqn="sum 0 0 @1" />
<v:f eqn="prod @2 1 2" />
<v:f eqn="prod @3 21600 pixelWidth" />
<v:f eqn="prod @3 21600 pixelHeight" />
<v:f eqn="sum @0 0 1" />
<v:f eqn="prod @6 1 2" />
<v:f eqn="prod @7 21600 pixelWidth" />
<v:f eqn="sum @8 21600 0" />
<v:f eqn="prod @7 21600 pixelHeight" />
<v:f eqn="sum @10 21600 0" />
</v:formulas>
<v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect" />
<o:lock v:ext="edit" aspectratio="t" />
</v:shapetype><v:shape id="Picture_x0020_23" o:spid="_x0000_s1026" type="#_x0000_t75" alt="cid:image007.png@01CC376C.19134270" style='position:absolute;left:0;text-align:left;margin-left:0;margin-top:0;width:321pt;height:192.75pt;z-index:251657728;visibility:visible;mso-wrap-style:square;mso-wrap-distance-left:9pt;mso-wrap-distance-top:0;mso-wrap-distance-right:9pt;mso-wrap-distance-bottom:0;mso-position-horizontal:left;mso-position-horizontal-relative:text;mso-position-vertical:top;mso-position-vertical-relative:text'>
<v:imagedata src="cid:image001.png@01CC42C0.9BDEB680" o:title="image007" />
<w:wrap type="square"/>
</v:shape><![endif]--><![if !vml]><img width=428 height=257 src="cid:image002.png@01CC42C0.9BDEB680" align=left hspace=12 alt="cid:image007.png@01CC376C.19134270" v:shapes="Picture_x0020_23"><![endif]><o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>David Love<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><a href="http://www.davidlovepianos.com">www.davidlovepianos.com</a><o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>-----Original Message-----<br>From: pianotech-bounces@ptg.org [mailto:pianotech-bounces@ptg.org] On Behalf Of David Love<br>Sent: Thursday, July 14, 2011 7:26 PM<br>To: pianotech@ptg.org<br>Subject: Re: [pianotech] Measuring Crown Radius<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>It simply illustrates that as load increases the amount of crown diminishes at an ever decreasing rate.<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>David Love<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><a href="http://www.davidlovepianos.com">www.davidlovepianos.com</a><o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>(sent from bb)<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>-----Original Message-----<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>From: "Delwin D Fandrich" <del@fandrichpiano.com><o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>Sender: pianotech-bounces@ptg.org<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>Date: Thu, 14 Jul 2011 17:09:20 <o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>To: <pianotech@ptg.org><o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>Reply-To: pianotech@ptg.org<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>Subject: Re: [pianotech] Measuring Crown Radius<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>David, what are you trying to illustrate in the picture? You have your rib<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>bent to a crown radius that will never be seen in a real piano. <o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>ddf<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'>Delwin D Fandrich<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>Piano Design & Fabrication<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>6939 Foothill Court SW, Olympia, Washington 98512 USA<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'>Phone 360.515.0119 — Cell 360.388.6525<o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><a href="mailto:del@fandrichpiano.com">del@fandrichpiano.com</a> — <a href="mailto:ddfandrich@gmail.com">ddfandrich@gmail.com</a><o:p></o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p><p class=MsoPlainText style='margin-left:.5in'><o:p> </o:p></p></div></body></html>