I am shocked to see how long it is since I last reported progress on this. There has been a lot of procrastination going on.
I tried asking on a US forum for the missing pinion with no success and I set up a search on eBay which only found me drills that were in better condition than mine. I read up on gear cutting and mitred bevel gears in particular. All that revealed were that these were not theoretically correct gears.
So having exhausted all avenues of procrastination I decided to try making a pinion. I decided to try making one in plastic first as it would be much quicker to machine and it would be an experiment.
I measured two angles from the drills handwheel. One was the angle the top of the teeth made with the axis of the drill and the other was the angle the bottom of the gaps between the teeth made with the axis. Because of limited space around it I had to make a sort of mini bevel gauge but I ended up with angles of 39 degrees and 28 degrees.
I made a gear blank on the lathe with an angle of 39 degrees and setup the milling machine to cut 20 gaps between the teeth at an angle of 28 degrees using a home made dividing head (another product of procrastination) which used a lathe changewheel to index 20 positions.
At this point I had to confront the main problem that had been putting me off this job. What shape should I make the gaps between the teeth. Best approximation methods for home cutting of bevel gears suggest three cuts for each gap would be needed so I decided to make a cutter the shape of the smallest part of the gap using the other pinion as a model. At this point I realised that the gaps between the teeth are parallel sided and the wider gaps are created by deeper cuts at the larger end of the pinion so only one cut should be needed.
I made a cutter out of silver steel and mounted it to an arbour and cut the teeth so that the gaps between teeth were about the same size as the teeth.
The only remaining difficulty was the diameter which was difficult to measure. It turned out to be too small - but since it's tapered I could make it seem larger by removing material from the small end and much to my delight it actually meshed quite well with the existing gear although it was now too thin.
I made a second one using the same technique but using measurements from the first attempt. This time the teeth seemed to mesh a bit too deeply so I skimmed the top of the teeth in the lathe. It fitted reasonably well and the drill worked.
I have assumed the missing gear was originally made from cast iron as if it were steel it wouldn't have broken so I bought a piece of cast iron and made another gear blank.
I hardened and tempered the home made cutter and tried again on the milling machine.
Then I cut the slots on the back to engage with the dogs on the drill. Can you spot the mistake here?
Then I assembled the drill.
It works. I drilled a few holes using both speeds. Success. I'm really pleased with that.
Russell