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Ok, now this is an interesting discussion. Admittedly not being a math guy
I'm still interested in putting some numbers on some scales of things I've
seen as a bench marks for comparison.
Let's just take one case I have first hand knowledge of. I rebuilt &
1960 Stwy L 3 years ago that lived in a Fresno area church from the beginning
of it's creation to the present so it has survived wonderfully well.
I was keenly impressed by the balance of sound, both in power & sustain.
I measured the bearing with a lowell gauge & though I don't have numbers
any more to give you my recall is that the top capo had over 2 degrees of
deflection & the 2nd capo about 2 or more & the middle was 1 1/2 degrees
tapering down to 1/2 in the bottom & the bass had positive but minimum bearing as
it should be with a cantalever. The crown string stretched across the boards
underside revealed lots of residual crown in the strung condition & more
than any other C.C. board I've ever seen up to that time. All that to say it
was in my opinion a text book Steinway/belly set up both in terms of crown &
bearing. These are IMO the kinds of observations that are important to make
when we find something that is working really well.
The Stwy L scale as I recall has an average treble tension at 160 lbs per
string. It is obvious to see that the majority of the bearing pressure on the
long bridge is increasing gradually the higher up the scale we go.
So knowing all of the above, what is the equation that will calculate an
approximate string bearing load under the conditions I describe?
If it's the one- 40th rule for simplicity then 40 divided into 160
strings equals 4 pounds per string. Let's remove most of the bass strings from
this equation for now, since theoretically there isn't much bearing there & we
have approx. 160 strings times 4 pounds equals 720 lbs. add in say 80 lbs for
the bass & it's about 800 total pounds give or take
There is a much more accurate & glamorous formula for this but I dont'
have it at my finger tips. If the scale tension averages 180 lbs per string
then we're talking 4 1/2 pounds per string which bumps total bearing load up
another 100 ish pounds.
My point in all this is that if we are using stronger engineering
materials & principles which building better stronger rib structure, which we are,
then surely our rib crowned & supported boards will survive as well & IMO
longer than this example of a C.C Steinway L I cited above
Don't you think?
Dale Erwin
Consider a basic scale of moderately high tension. Say 40,000 lbs. overall.
With this string tension 1,000 lbs of string down force equals 2.5% of scale
tension. That is quite a lot considering that most companies are claiming
string down force more on the order of 0.5% to 1.5% of string tension (which
would be 200 to 600 lbs). I thought I was setting my initial string down force
pretty high at around 1.0 to 1.5%. I don't like thinking about what I'd be
doing to a board loading it up to 2.5%. I can't imagine it being happy enough at
that level to want to stay there.
Del
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