With all the talk lately about hub width and how it affects wheel stiffness -- especially bcd's contention that 100mm is insufficient for FR/DH on 29ers -- I decided to run some numbers.
The results were surprising. But they confirmed what I suspected, and what bcd is determining empirically.
Here are the assumptions I used. Please correct me if any of them are wrong.
-The stiffness provided by spokes is proportional to the sine of the angle that the spokes make with the rim.
-I assume the wheel is undished.
-All my numbers are relative. "How stiff is stiff?" Well, that depends on what spokes and what rim you use.
-All my numbers are hand-measured and therefore approximate.
First, the standard: a 26" wheel with non-disc XT hub. ~230mm hub to rim, ~70mm hub flange spacing. Spoke stiffness: 0.1504. 100% of the standard.
And now, the bad news.
26" wheel with Laserdisc DH disc hub (~55mm flange spacing), 110mm * 20mm thru axle: 78.9% of standard
We lose over 20% of our stiffness by going to discs.
29" wheel (~260mm hub to rim) with Laserdisc DH disc hub: 69.9% of standard
We lose another 13% by going 29 vs. 26. The 26" XT non-disc wheel is 40% stiffer than our 29" disc wheel! No wonder we keep destroying our expensive wheels!
So what happens if we use wider hubs? bcd suggests and has made a 120mm hub, 10mm wider than standard:
29" wheel, bcd's 120mm DH disc hub (65mm flange spacing): 82.45% of standard
So we're not losing to the 26" disc crowd anymore. But we're still not as stiff as my five-year-old 26" XC hardtail. Or even a ROAD BIKE. This ugly fact should embarrass the hell out of whoever first made disc hubs and forks.
29" (700c) wheel, non-disc hub, ~70mm flange spacing: 88.68% of standard
How wide do we have to go just to catch up with my old hardtail?
26" wheel, hypothetical 125mm disc (~70mm flange spacing): 100% of standard
29" wheel, hypothetical 135mm disc (~80mm flange spacing): 101.07% of standard.
So if we settle on 135mm as the new standard, we can claw our way back to where we were in 1988.
News flash! Apparently the 20" front wheel of my recumbent can kick everyone's ass. Despite years of suspensionless urban riding that quickly destroyed my headset, I've never had to true the cheap Alex rims.
You can also ask the BMXicans about 20" wheels and the abuse they take.
20" (406mm) wheel, 165mm flange to rim distance, 70mm Deore non-disc hub: 137.93% of standard
Wouldn't it be nice to have a wheel that was as tough as the one on my girly-man recumbent? How wide would the hub have to be?
29" wheel, hypothetical 165mm disc (~110mm flange spacing): 137.57% of standard
So there we are. Do we want to stop tacoing wheels? Do we want to run lighter rims and decrease rotating mass? Then 165mm x 20mm is the new 100mm.
Gauntlet: thrown.
The results were surprising. But they confirmed what I suspected, and what bcd is determining empirically.
Here are the assumptions I used. Please correct me if any of them are wrong.
-The stiffness provided by spokes is proportional to the sine of the angle that the spokes make with the rim.
-I assume the wheel is undished.
-All my numbers are relative. "How stiff is stiff?" Well, that depends on what spokes and what rim you use.
-All my numbers are hand-measured and therefore approximate.
First, the standard: a 26" wheel with non-disc XT hub. ~230mm hub to rim, ~70mm hub flange spacing. Spoke stiffness: 0.1504. 100% of the standard.
And now, the bad news.
26" wheel with Laserdisc DH disc hub (~55mm flange spacing), 110mm * 20mm thru axle: 78.9% of standard
We lose over 20% of our stiffness by going to discs.
29" wheel (~260mm hub to rim) with Laserdisc DH disc hub: 69.9% of standard
We lose another 13% by going 29 vs. 26. The 26" XT non-disc wheel is 40% stiffer than our 29" disc wheel! No wonder we keep destroying our expensive wheels!
So what happens if we use wider hubs? bcd suggests and has made a 120mm hub, 10mm wider than standard:
29" wheel, bcd's 120mm DH disc hub (65mm flange spacing): 82.45% of standard
So we're not losing to the 26" disc crowd anymore. But we're still not as stiff as my five-year-old 26" XC hardtail. Or even a ROAD BIKE. This ugly fact should embarrass the hell out of whoever first made disc hubs and forks.
29" (700c) wheel, non-disc hub, ~70mm flange spacing: 88.68% of standard
How wide do we have to go just to catch up with my old hardtail?
26" wheel, hypothetical 125mm disc (~70mm flange spacing): 100% of standard
29" wheel, hypothetical 135mm disc (~80mm flange spacing): 101.07% of standard.
So if we settle on 135mm as the new standard, we can claw our way back to where we were in 1988.
News flash! Apparently the 20" front wheel of my recumbent can kick everyone's ass. Despite years of suspensionless urban riding that quickly destroyed my headset, I've never had to true the cheap Alex rims.
You can also ask the BMXicans about 20" wheels and the abuse they take.
20" (406mm) wheel, 165mm flange to rim distance, 70mm Deore non-disc hub: 137.93% of standard
Wouldn't it be nice to have a wheel that was as tough as the one on my girly-man recumbent? How wide would the hub have to be?
29" wheel, hypothetical 165mm disc (~110mm flange spacing): 137.57% of standard
So there we are. Do we want to stop tacoing wheels? Do we want to run lighter rims and decrease rotating mass? Then 165mm x 20mm is the new 100mm.
Gauntlet: thrown.