Jim Smith said:Quoted message said:Werehatrack said:On Sat, 05 Mar 2005 22:28:40 -0700, [email hidden] may have
said:>On Sun, 06 Mar 2005 05:13:42 GMT, "Leo Lichtman"
><[email hidden]> wrote:
>
>>4,) Steel wheel with steel spokes--stronger and lighter than cast iron
>>wheel. Insight that the upper spokes are carrying tension.
>^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^?
>>5.) Steel wheel with thin spokes, in which both compression and tension are
>>developed.
>>6.) Wheel with wire spokes.
>
>Dear Leo,
>
>It's the step between 4 and 5 that's puzzling.
>
>The upper spokes in a compression wheel shouldn't show
>tension, should they?I looked closely at a couple of very old implement wheels a while
back, and was a bit surprised to see that in the case of these
particular ones, the spokes were not welded to the rim, but rather
passed through it and upset on the outer side. I have no idea how old
they were, nor where they came from or what the brand of item was that
they were on; they were in a collection of disused farm equipment that
was being sold for its value as antiques and decorations. It's quite
possible that there was no actual tension on the spokes at rest, and
they may have been made with a shoulder that butted against the inside
of the rim; I didn't think to look for that. Still, the germ of the
idea may have been present.>I think that you should be able to cut off everything just
>above 3 and 9 o'clock on such a wheel when motionless.In a perfect world, perhaps, but a spoked wooden wagon wheel without
compression from its band will collapse *sideways* in short order.
That's according to a wheelwright who makes them for some of the
wagons that are used in the annual Trail Rides that are tradtional in
the week leading to the opening of the Houston Livestock Show and
Rodeo.>Maybe there's a little tension or compression in the upper
>spoke of a wooden/iron compression wheel?More than a little, from what he was saying.
Dear Werehatrack,
Yes, load-bearing wooden wheels like wagon wheels are
compressed and dished by the shrunk-on metal rim strip. The
dishing is needed for the side-loads of 4-wheel wagons (they
have a nasty habit of failing sideways).The compression of the metal rim strip is needed just to
hold the wheel together--without it, the sections fly apart
at any speed. There's some mortise work, but the tapered
spokes are just jammed into holes bored into the separate
curved sections of wood that make up the rim. It's
tinker-toy construction that needs a rubber band just to
hold it together.But the spoke load is carried entirely by further
compression by the lower wooden spoke--if anything, the
upper wooden spoke might experience a little decompression,
but I don't think that this would amount to anything like
"hanging from the upper spoke" in the sense of a pre-tension
wheel "standing" on its lower spoke.Bicycle wheels function the same as wagon wheels. Pre-tensioning the
spokes does two important structural things: 1) it prevents the spokes
from buckling. 3) it allows the connections at nipple and hub to work.It is instructive to note that it is not necessary to tension the
spokes in a computer model if one is only interested in which spokes
carry the load.
Dear Jim,
It is, however, necessary to compress a wooden wagon wheel.
Otherwise, it falls apart.
Bicycle spokes are in tension. When the lower spokes lose
tension dramatically, the upper spokes do gain tension
slightly (not nearly enough to match the loss in the lower
spokes).
But wagon wheel spokes are in compression--an iron band is
shrunk onto the rim formed by multiple wheel sections and
holds everything together like a rubber band. When the lower
spoke compresses and the lower rim flattens slightly,
tension is lost in the band, so it seems possible that the
upper wooden spoke actually loses compression and expands
slightly.
As for your last point, I think that you're mistaken. It is
necessary to have tension on a computer model of a
pre-tensioned bicycle wheel, just as it's necessary for a
real wheel--if there is no initial tension, there's none to
be lost by the lower spoke contracting when the lower part
of the rim deflects.
If not tensioned to begin with, the lower spoke would simply
rattle around loose when a load was put on the hub, and the
hub would indeed hang from the upper spokes.
But that's not a pre-tensioned bicycle wheel, as poor Jobst
has to keep pointing out.
You may be thinking of solidly connected strut-spokes, like
a single-piece cast control wheel. Since those spokes are
not free to dangle out the bottom of a rim like bicycle
spokes, they work as you suggest.
Carl Fogel