Loren said:
Hohn,
First, a question: Do you know that smaller tires have lower rolling resistance than larger ones? I would not assume that this is the case. In fact, it seems to me (with no data to support it) that a larger tire at the same pressure will have lower rolling resistance.
Well, as I reason it through, it would seem that larger tires would have to have MORE rolling resistance. I could be wrong, but follow my reasoning and see if you agree.
What causes rolling resistance? Rolling resistance is rooted in the fact that a semi-rigid ROUND tire is attempting to conform to a (mostly) flat rigid road surface. It must deflect to do so.
Think of applications where low rolling resistance is a main design goal in a wheel/tire. On racing bicycles, tires are very very thin, and run very high pressure. The small size reduces the contact patch area, and the high pressure increases tire rigidity, BOTH of which lower rolling resistance.
Same thing for commercial OTR tires. They are relatively thin for the height (compared to a 75 aspect ratio LT tire), and run high pressure for rigidity.
So now let's think about how that tire deflects (or deforms) to conform to the road surface. First, we can guess logically that the more rigid a tire is, the less it will deflect for a given load. This rigidity can come from inflation pressure or from carcass design. So, we can see the effect of tire DESIGN on rolling resistance.
The effect of tire WIDTH is important as well, because it determines contact patch size for a given deflection. So say you have a contact patch that's 2 inches long by 4 inches wide. If we widen it so that it's 2 inches long by 8 inches wide, then we've just DOUBLED the rolling resistance. Now, in the real world, it would be slightly less than double, because the same tire pressure spread out over twice the area would make the tire more rigid for a given load, and reduce rolling resistance somewhat, so it would be less than double.
The effect of tire HEIGHT (or diameter) can go either way. On bicycles, a taller tire rolls better. But were talking about a tire that's very narrow and high pressure. The lower rolling resistance comes from the fact that the tire has to deflect less, in terms of distance.
You can see this for yourself if you picture an infinitely large tire. Such a tire would not have to deflect at all, because relative to the flat road surface, the tire is flat as well-- thus no need to deflect.
Before you go and think that a taller tire has less rolling resistance, realize that there are other factors that MORE than cancel this out.
First, in most commonly available 75-series sizes, a taller tire is wider. Wider means more area must deflect, and thus more resistance.
Second, a taller tire needs LESS tire pressure to wear properly, and thus decreases tire rigidity. However, there is a mitigating effect that that tire doesn't need as much rigidity because of the larger contact patch.
So in the end, it boils down to one pivotal question: is it better (wrt rolling resistance) to have a larger contact patch deflecting LESS, or a smaller contact patch deflecting MORE??
I believe that it's better to have a smaller contact patch deflecting more. Anecdotal evidence for this is strong. As you increase contact patch size, area increases faster than the amount of deflection decreases, so your left with more resistance. For example, if you had an 8 sq in patch that had to deflect 1", you'd think that doubling area to 16 sq in would drop deflection to 1/2", but it doesn't drop that far-- thus, a net increase in rolling resistance.
I think of this in terms of the VOLUME of an imaginary space made by the difference between the the tires deflected shape and its normal (no load, perfectly round) shape. The greater the volume of this imaginary space, the more rolling resistance.
Also consider steel train wheels, designed for the ultimate in low rolling resistance. Tiny contact patches, and essentially ZERO deflection. Great for load bearing, horrible for any kind of traction. They're surprisingly not that large, given the loads on them.
OK, that's my thinking. Tell me where I'm right or wrong.
jh