On Mon, 08 Oct 2007 09:18:49 -0400, Peter Cole
<
[email protected]> wrote:
>Rim deformation is related to spoke slackness.
>
>If you consider the tables that accompany the FEA in Jobst's book,
>you'll see that the nominal 50kg load causes a ~0.15mm deflection in the
>bottommost spoke and about half that in the two adjacent spokes.
[snip]
Dear Peter,
For what it's worth, Ian's load is twice as much, 102 kgf on a
36-spoke rim where the same bottom 5 spokes lose tension. The spokes
are 2mm, but the wheel may differ in other ways from Jobst's
model--diameter, width, cross-section.
Ian calculates that the maxiumum deflection on his rim is 0.1803 mm:
http://www.astounding.org.uk/ian/wheel/index.html
It's just below "Results" on that long page, not in the huge table of
calculations.
I'm still wondering whether all wheels lose tension over the same arc
(about 40 degrees), or the same number of spokes (5)?
Or does the number of spokes (or the arc) where tension is lost vary
with the number of spokes--do a 72-spoke highwheeer, a 36-spoke MA2,
and an 18-spoke modern deep rim all lose tension over the same arc or
same number of spokes?
And does the load matter? That is, would Jobst's model show the same 5
spokes losing tension whether the load was 5, 50, or 100 kgf?
With a theoretical 3-spoke wheel, I wouldn't be surprised if _no_
spokes lost tension with the wheel loaded in this position:
|
/ \
After all, there's a 120 degree arc with no spokes.
The question really isn't as theoretical as it may seem.
If we don't even know _which_ spokes lose tension on anything other
than a 36-spoke theoretical model, then we don't know how _much_
tension they lose--and the reverse is true for the other spokes.
How much tension do how many other spokes _gain_ on a modern deep rim
18 spoke wheel? That gain is probably more for any individual spoke on
an 18-spoke wheel than the gain on the theoretical 36-spoke models, so
it may help explain the rim cracking.
Cheers,
Carl Fogel