Weisse Luft said:But radial lacing the DRIVE side works to reduce dish ...
While this is widely reported, it is in fact a fallacy,
apparently based on an incomplete analysis of the spoke
angle changes.
The usual argument is that by using an all heads-out radial
spoking pattern on the left side, the effective left flange
offset is reduced by about half the flange thickness,
supposedly creating a smaller bracing angle of the left
spokes (and therefore less dish). Since the left flange of a
typical rear hub has a thickness of about 3.5mm and an
offset of about 35mm, the difference difference in the
relative spoke offset is about (3.5mm/2)/35mm, or about 5%.
However, this analysis is incomplete and overlooks other
consequences of radial lacing. On major difference is that
radial spokes are also shorter than crossed spokes. For a
typical small flange rear hub, the difference in spoke
length is about 15mm. Since the left spokes in a typical
rear wheel are about 300mm, the difference in length is
15mm/300mm, or about 5%.
So, while radial lacing moves the loading point on the
flange by about 5% closer to the center of the wheel (as
compared to cross lacing), it also moves the loading point
about 5% closer to the rim. The net effect is that there is
no change in the bracing angle of the left spokes, and
therefore no change in dish.
Since the idea that radially lacing the left spokes reduces
the wheel dish is so often asserted, I repeat:
Radially lacing the left spokes does not decrease dish!
Quoted message said:Using heads in radial lacing drive side, 2 cross non-
drive, my drive side is tensioned to 115 kgf and my non-
drive is 110 kgf. This is using a symmetric rim and a hub
with a left offset of 31mm, right offset of 17mm.
This is physically impossible. With the left flange offset
nearly twice the right flange offset, the bracing angles of
the left spokes will be nearly twice the bracing angle of
the left spokes. Because spoke bracing angles are relatively
acute, the lateral component of spoke tension will be nearly
proportional to the bracing angle. With a symmetric rim and
equal number of spokes on each side of the wheel described
above, there is no possible way that the ratio between the
right and left spoke tensions on this wheel can be that
close (regardless of what spoke pattern is used).
Mark McMaster [email hidden]