In article <[email hidden]>, [email hidden] says...
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Quoted message said:Quoted message said:Instead of trying this on a normal wheel with lots of spokes, think about a 4-spoke wheel, with
the wheel turned so that one of them is straignt up and down. If they are pre-tensioned to
200lbf, and you then set 200lbs of bike and rider on them, the tension in the top spoke MUST
increase by 200lbf total (front and rear combined). It will likely be more in the rear than the
front, but it the combined increase must equal the total weight of the load. A simple statics
calculation will show you that. The interesting part of this calculation is that if the spokes
don't stretch and the wheel doesn't distort, the tension in the bottom and side-facing spokes
doesn't change at all.
Holy moly, you've invented anti-gravity!
Firstly, you've started with an incorrect assumption, that the rim is infinitely stiff as compared
to the spokes. In
That was only a simplifying assumption for illustration purposes. I am well aware that it is not the
case in real life.
Quoted message said:actuality, the radial stiffness of the rim is much less than the radial stiffness of the spokes.
So when you apply a load to the wheel, the bottom of the rim will easily bend inward allowing the
bottom spokes to absorb the load, and very little of the load will be allowed to be transferred to
the top of the wheel.
SOME of it must be transferred, because the total vertical load on the axle must increast to equal
the total weight of the load. That difference is spread out among lots of spokes, so the change in
tension in any one spoke is probably only a few pounds. That's why you don't hear it.
Quoted message said:But even if the rim were infinitely stiff, you've still got it all wrong. I think you'll agree
that as you tension the spokes, they will elastically stretch in proportion. According to you, the
top spokes increase tension, but the bottom spokes don't. Therefore the top spokes will stretch
I didn't say they didn't stretch; I said that *If you make the simplifying assumption that nothing
deformed* then the tension in the bottom wouldn't change. That is obviously not a real-life
assumption. However, I still maintain the the tension in the top spokes MUST increase to handle the
added load. Draw a simple free body diagram with a 4-spoke wheel and work out the calculations. As
you said below, if you take the real life case in which the spokes and wheel deform under load, then
the increase in tension in the upper is smaller, because it is partly counter-acted by the decrease
in the lowers, but it CANNOT fully cancel out, or there would be nothing to support the added load
on the axle.
Quoted message said:Before you get yourself further tripped up in half thought-out theory, I really suggest you try
the spoke plucking experiment mentioned above. It can be very illuminating.
It wouldn't surprise me a bit if you couldn't tell the difference in tension by the sound of a
plucked spoke, especially in a high spoke- count wheel (because the load is distributed over so many
spokes), but it MUST be there, and with a sensitive enough tensionometer, you could measure it. Do
the calculations!!!
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