[CAUT] Wire Stretch

[Leslie Bartlett]

Uh, there's a reason I did poorly in math...........  But I know some folks
who can tear this apart step by step.... thanks
lse 

-----Original Message-----
From: caut-bounces at ptg.org [mailto:caut-bounces at ptg.org] On Behalf Of RicB
Sent: Sunday, April 29, 2007 3:58 PM
To: caut at ptg.org
Subject: [CAUT] Wire Stretch

I just posted a link to a such an approach.  In the end its quite easy.  
You first find the change in tension a give change in deflection yields, and
then you have all you need to use standard frequency formulas.

 Delta T = ES (Delta L / L). 

Then calculate for the new frequency with your known wire diameter, speaking
length and tension and the so called K constant... which in this case is

    (Pi * string density / 981)

f = Sqrt(T/(L^2*d^2 *K)

Ok ?

Cheers
RicB

Is there some source or "relatively easy" formula for calculating how much a
string must move through a termination point to produce pitch change?    I'd
like to have some tiny bit of basic information so that in describing pitch
corrections of significant distance I can use the information to explain the
likelihood that the piano will need a retuning in the near future.
thanks
les bartlett

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