However, bicycle chains, even the best have an enormous amount of play in
the rollers, relative to the degree of precision we are using here.
A 5/16", or 8mm end mill matches the roller diameter almost exactly, giving
just a small amount of clearance.
I have made many rings/cogs in all sizes, & they mesh nicely, yet don't skip
or jump.
All that is needed is a small chamfer with a file on the sharp edges of the
teeth after cutting the profile with the end mill.
Of course this is only a method you would use for 1 or 2 pieces, not
production.
What is important is the spacing, that's why I told Amir to use a bolt
circle program, it is more accurate than a dividing head, but requires a
digital readout, or CNC.
James Kenney
> Yes, the proper tooth form is an involute, & it does vary with # of teeth.
Involute profiles are for spur gears, not roller chain sprockets.
As you suggest, one can make a reasonable sprocket by cutting a pattern of circles on the blank and relieving the tops to allow for clearance as the chain unwinds. A working familiarity with geometry may be necessary, but it is not rocket science (though the Machinery's Handbook explanation is confusing enough to make it seem so).
> On 22 Mar 2011, at 6:31 PM, James Kenney wrote:
>
> > Yes, the proper tooth form is an involute, & it does vary with # of teeth.
>
> Involute profiles are for spur gears, not roller chain sprockets.
Right, the problem is similar, but different. The tooth profiles
shown in the Machinery's Handbook are also standard tooth profiles as
used in roller chain drives like those in coaster brake and 3-speed
cogs. Derailleur gear teeth have different profiles that I've never
quite understood, and I think it's more than simply truncated tooth
tops.
If you compare tooth profiles from the 2 different kinds of cogs the
difference will be instantly obvious. My impression is that if you
try to use the standard profile with a derailleur bike, the chain
will climb right up the side of the tooth and slip.
Or maybe it is simply a matter of truncated tooth tops....
Has anyone looked at this closer than I have?
--
*******************************
Jim Adney, jad...@vwtype3.org
Madison, Wisconsin, USA
*******************************
On Tue, Mar 22, 2011 at 10:37 PM, Jim Adney <jad...@vwtype3.org> wrote:
> Derailleur gear teeth have different profiles that I've never
> quite understood, and I think it's more than simply truncated tooth tops.
> I've never machined cogs... but I have looked at a lot of old freewheels...
> and nearly all old 5-speed freewheel clusters used simple, squared off teeth
> and (visually) identical tooth profiles for all cog sizes. I'm sure they
> aren't going set any records for the smoothest shifting, but they certainly
> work fine, and don't slip.
That was my point. Our cogs and chainwheels use different tooth forms from
those standard forms shown in the Machinery's Handbook.
--
Jim Adney
jad...@vwtype3.org
Madison, WI USA
Andrew R Stewart
Rochester, NY
> Jim- I can say that the tooth profiles that Sturmey Archer used on their AW
> hubs back in the made in England days sucked for derailleur shifting. I
> converted a FW hub into an eight speed rig with cogs set back to back and a
> derailleur. The derailleur shift was almost worthless. Andy.
That's what I expected, but glad to have confirmation from someone
who actually tried it. I doubt that SA was different from any other
non-derailleur system. Coaster brake and 3-speed hubs all tended to
have tooth profiles that resemble those in the Machinery's Handbook.