<HTML><HEAD> <META charset=US-ASCII http-equiv=Content-Type content="text/html; charset=US-ASCII"> <META content="MSHTML 6.00.2800.1106" name=GENERATOR></HEAD> <BODY style="FONT-SIZE: 10pt; FONT-FAMILY: Arial; BACKGROUND-COLOR: #ffffff"> <DIV> <DIV>Greetings, </DIV> <DIV> </DIV> <DIV>       (See below) This is so Greek to me! Where does one learn to calculate such things. Recommended reading would be appreciated!</DIV> <DIV> </DIV> <DIV>Thanks</DIV> <DIV>Julia Gottshall</DIV> <DIV>Reading, PA</DIV> <DIV> </DIV> <DIV>In a message dated 8/14/2006 8:32:21 PM Eastern Standard Time, sec@overspianos.com.au writes:</DIV> <BLOCKQUOTE style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: blue 2px solid"><FONT face=Arial>Hi folks<BR>><BR>>I'm working on a spreadsheet for calculating a few different things <BR>>about downbearing and just wanted to check  a few numbers with you <BR>>before going further then I am now.<BR>><BR>>Say you have the following string situation.  Assume a bridge width of 0.<BR>><BR>>Speaking length 50mm<BR>>back length   25 mm<BR>>Angle at the bridge 178 degrees.  (i.e. the angle created by the <BR>>strings deflection upwards.)<BR>>Tension on the string lengths 160 lbs<BR>><BR>>Are the following results then valid ?<BR>>Undeflected string length total 74,98984643<BR>>String angle from the front termination 1,333363422 degrees<BR>>String angle from the aliquot / hitchpin  0,666636578 degrees<BR>>String deflected Height  0,581737034 mm<BR>>Downwards force on the bridge. 5,584676 lbs<BR><BR>By 178 degrees I understand that you are talking about the angle <BR>underneath the string segments, ie. speaking length and back length <BR>segments. The downbearing force you have calculated is correct, since <BR>178 degrees if measured from underneath translates to a 2 deflection <BR>of the string over the bridge.<BR><BR>Sin 2 degrees*160 = 5,584676<BR><BR>Ron O.<BR>-- <BR>OVERS PIANOS - SYDNEY<BR>    Grand Piano Manufacturers</FONT></BLOCKQUOTE></DIV> <DIV></DIV></BODY></HTML>