J
jim beam
Guest
[email protected] wrote:
> Michael Press writes:
>
>>>> The spokes lose huge amounts of pre-tension as they roll under the
>>>> wheel. The individual the spokes all the way around the wheel show
>>>> an increase of only up to 10% in tension, compared to the spoke
>>>> directly under the axle's loss of tension.
>
>>> Right. Under what criteria is a 10% increase in tension
>>> insignificant, as it was described by Brandt? And in your testing,
>>> as well as everyone else's, the greatest loss of tension was in the
>>> spokes perpendicular to the spokes that lost tension.
>
>>> The loss of tension caused by the local flexing of the rim cannot
>>> be balanced by a rise in tension by the rest of the spokes; OTOH,
>>> the flexing of the rim caused by the ovalization of the hoop _must_
>>> be offset by a rise in tension by the rest of the spokes.
>
>> The hoop does not "ovalize" in normal use, the use for which it is
>> intended; to wit: transmitting a compressive load between the
>> contact patch and the axle. The shape of the distortion of a rim
>> under load is lumpy.
>
>> On a thirty six spoke wheel the greatest change in spoke length is
>> at the contact patch where it is -0.153 mm. The next local maximum
>> of absolute spoke length change is four spokes from the contact
>> patch, or one ninth of the circumference where the change is 0.014
>> mm. After that all the spokes are extended by 0.007 mm. The rim
>> remains circular, except for an indentation at the contact patch and
>> a couple lumps adjacent to the contact patch.
>
> To put it a different way, the rim is flattened at the road contact
> area and this flattening increases the radius of the remaining
> circular part of the rim (the previous arc having a shorter linear
> length than when flattened. Of course you can read about this in "the
> Bicycle Wheel" which is what inspired Ian and Henry Gavin to publish
> the same material in their own fora.
>
> http://www.avocet.com/wheelbook/wheelbook.html
>
>>> The latter effect is where the wheel gets its strength; it is
>>> ridiculous to suggest that the rise in tension of the other spokes
>>> is insignificant because without that rise in tension you might as
>>> well be riding a wheel with all the spokes detensioned to the point
>>> that all the wheel strength derives completely from the strength of
>>> the rim alone. To say that the rise in tension of the other spokes
>>> is insignificant is just utterly ridiculous.
>
> If you research the many times this subject has appeared in this
> forum, you'll find that the vertical component of tension increases,
> caused by spreading the wheel circumference, sum to zero, leaving only
> the reduction in downward force of the spokes in the "load affected
> zone" as the sole support of axle loads. The reason this is so, is
> that at either end of the load affected zone, a bulge caused by rim
> stiffness in the transition from the flattened area to the circular
> part does not allow a sudden transition. This may slightly differ
> depending on the bending stiffness of the rim cross section used as a
> model. The ones in the book are MA-2's.
>
and yet interestingly, wheels still manage to support load with no
bottom spokes at all...
http://www.flickr.com/photos/38636024@N00/417157612/
but that picture must be photoshop - there's no way your theory could
/possibly/ be incomplete.
> Michael Press writes:
>
>>>> The spokes lose huge amounts of pre-tension as they roll under the
>>>> wheel. The individual the spokes all the way around the wheel show
>>>> an increase of only up to 10% in tension, compared to the spoke
>>>> directly under the axle's loss of tension.
>
>>> Right. Under what criteria is a 10% increase in tension
>>> insignificant, as it was described by Brandt? And in your testing,
>>> as well as everyone else's, the greatest loss of tension was in the
>>> spokes perpendicular to the spokes that lost tension.
>
>>> The loss of tension caused by the local flexing of the rim cannot
>>> be balanced by a rise in tension by the rest of the spokes; OTOH,
>>> the flexing of the rim caused by the ovalization of the hoop _must_
>>> be offset by a rise in tension by the rest of the spokes.
>
>> The hoop does not "ovalize" in normal use, the use for which it is
>> intended; to wit: transmitting a compressive load between the
>> contact patch and the axle. The shape of the distortion of a rim
>> under load is lumpy.
>
>> On a thirty six spoke wheel the greatest change in spoke length is
>> at the contact patch where it is -0.153 mm. The next local maximum
>> of absolute spoke length change is four spokes from the contact
>> patch, or one ninth of the circumference where the change is 0.014
>> mm. After that all the spokes are extended by 0.007 mm. The rim
>> remains circular, except for an indentation at the contact patch and
>> a couple lumps adjacent to the contact patch.
>
> To put it a different way, the rim is flattened at the road contact
> area and this flattening increases the radius of the remaining
> circular part of the rim (the previous arc having a shorter linear
> length than when flattened. Of course you can read about this in "the
> Bicycle Wheel" which is what inspired Ian and Henry Gavin to publish
> the same material in their own fora.
>
> http://www.avocet.com/wheelbook/wheelbook.html
>
>>> The latter effect is where the wheel gets its strength; it is
>>> ridiculous to suggest that the rise in tension of the other spokes
>>> is insignificant because without that rise in tension you might as
>>> well be riding a wheel with all the spokes detensioned to the point
>>> that all the wheel strength derives completely from the strength of
>>> the rim alone. To say that the rise in tension of the other spokes
>>> is insignificant is just utterly ridiculous.
>
> If you research the many times this subject has appeared in this
> forum, you'll find that the vertical component of tension increases,
> caused by spreading the wheel circumference, sum to zero, leaving only
> the reduction in downward force of the spokes in the "load affected
> zone" as the sole support of axle loads. The reason this is so, is
> that at either end of the load affected zone, a bulge caused by rim
> stiffness in the transition from the flattened area to the circular
> part does not allow a sudden transition. This may slightly differ
> depending on the bending stiffness of the rim cross section used as a
> model. The ones in the book are MA-2's.
>
and yet interestingly, wheels still manage to support load with no
bottom spokes at all...
http://www.flickr.com/photos/38636024@N00/417157612/
but that picture must be photoshop - there's no way your theory could
/possibly/ be incomplete.