Posted by Michael Gilligan on 29/11/2022 21:46:20:
Edit: __ possibly an interesting page for those who know about such things:
**LINK**
Thanks for the link.
Can I just quote one paragraph for reference:
"The rack at Snowdon utilises a pair of toothed racks offset by one tooth and two driven axles on each locomotive, each axle with a pair of pinions. This ensures that there are two teeth fully engaged at all times to increase safety. The braking system also uses the rack to slow and stop the trains with the brakes fitted to the pinion axles on the locomotives and carriages."
If they are offset by one tooth, I think the rack teeth would line up. They do not seem to do so in the picture. Might it be better expressed as saying they are offset by half a tooth?
Thinking about the engineering behind this, the axle spacing of the locomotive would also have to bear some relationship to the rack tooth spacing for the double engagement to work. I wonder if you made the axle spacing adjustable, it could act as an anti-backlash mechanism. The (keyways in the) pinions would need to be clocked relative to each other.
Note in Mr Abt's patent, lines 15-20 his discussion of the tooth inclination (1 in 4). I think that gives the standard 14.5 degree pressure angle. It is widely remarked that this angle was chosen for gears because its sine is 0.25 or 1 in 4 (apropos nothing, it is also recommended that you erect a ladder at this same slope – 1 in 4, often noted as the complement, 75 degrees).
There are modern developments in gear technology which use asymmetric gears which might have been helpful to the wear issue had it been around at the time the system was invented.
The Benefits of Asymmetric Gears