JL said:<[email hidden]> wrote in message
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Quoted message said:
http://www.sheldonbrown.com/brandt/rim-support.html
Does this FAQ item not answer your question.
Jobst Brandt
I don't see how the referenced article explains the mechanics of how a load
is actually carried by a pneumatic tire.
The article states:
"Under load, in the ground contact zone, the tire bulges so that two effects
reduce the downward pull (increase the net upward force) of the casing.
First, the most obvious one is that the casing pulls more to the sides than
downward (than it did in its unloaded condition); the second is that the
side wall tension is reduced. The reduction arises from the relationship
that unit casing tension is equivalent to inflation pressure times the
radius of curvature divided by pi. As the curvature reduces when the tire
bulges out, the casing tension decreases correspondingly. The inflated tire
supports the rim primarily by these two effects."
I'm not sure it's entirely sufficient, either.
About 15 years ago, Marvin Minsky mentioned that he
liked to ask Nobel laureates, "how does a tire work?"
then stand amused watching them try to figure it out.
But then, he used to hang around with Nobel laureates,
and I used to converse with Marvin Minsky.
The world's changed for us all.
Quoted message said:Here's why the explanation doesn't satisfy the question:
"First, the most obvious one is that the casing pulls more to the sides than
downward (than it did in its unloaded condition)"
The tire casing (and its pull on the rim) can be taken completely out of the
picture. Consider a rim with just the inner tube installed on it. Slowly
pump the tube to say 10 psi and observe how the rim lifts off the ground as
the weight of the bicycle is taken up by the increased air pressure inside
the tube. The tube is not able to pull on the rim.
"the second is that the side wall tension is reduced. The reduction arises
from the relationship that unit casing tension is equivalent to inflation
pressure times the radius of curvature divided by pi. As the curvature
reduces when the tire bulges out, the casing tension decreases
correspondingly."
So what? The side wall tension can also be taken completely out of the
picture using the solo inner tube example from above; i.e., there is no pull
on the rim from inner tube side wall tension. If you need to convince
yourself of this, envision a layer of Vaseline between the tube and rim.
The with-casing and without-casing cases are two different cases.
He redunded.
The wheel is supported by the entire bead of a tire with
a casing that has a bead-and-rim interface. In the case
of tubeless tires, this is the only thing supporting the
wheel.
Once the wheel is married to the tire through the bead
and rim interface, it becomes part of the torus. And
the freaky thing is, in automobile tires, it's entirely
a friction fit. The pressure in the tire pushes the sidewall
out which forces the bead against the metal. The static
coefficient of friction at that normal force is high enough
that almost no tires slip on their rims under even the
strongest acceleration of the vehicle. (One example, sadly,
was the original equipment tires on my Lexus, which didn't
have a good enough friction with the new alloy they chose
for the wheels, so they would slip slightly when I matted
it, which in a GS400 is a decent tug. And when it was
new, I really liked making the road go away. This led to
the need to rebalance the rear wheels every thousand miles.
Lexus has since listed other tire models that fit and
will grip those rims, but for a while my car was a lot
like Ken Griffey Jr.: A superman with glass legs.
But I digress...)
This is different from a solid rim of a certain diameter
sitting inside the donut-hole of a tube that is much larger.
That's a matter of having air pressure under the rim (in
the tube) that is higher than the air pressure over it (which
isn't in contact with the tube). Which is the same as putting
a book on top of a balloon, if you can get it to balance.
Quoted message said:"The inflated tire supports the rim primarily by these two effects."
While perhaps describing some physical attributes of tire casings under
load, these don't explain the phenomenon of what's actually supporting the
load. In the above example something besides tire casing pull and side wall
tension is holding up the rim. The same mechanics that are at work holding
up the rim in the solo inner tube example come into play in all pneumatic
tires.
The tire and the pressure in it convert the upward force
on the contact patch to a transverse force distributed
around the entire bead and the rim.
But it's not equal at all points on the bead interface.
The imbalance could be as simple as a net upward force
at all points which is equivalent to a differential
radial force that rotates as you go around the rim and a
differential tangential force that rotates 90 degrees out
of phase with the radial force around the rim.
The pressure on the rest of the rim surface (between the
beads) is equal around the rim, because that's how gas
pressures work. Any increase at the bottom is equal to the
increase at the top, unless the system is moving so fast
that the propagation of pressure waves becomes an issue.
--Blair