To figure how deep to run your cutting tool into the gear blank when cutting teeth, use the constant of 2.157. Divide the gear pitch into that number and it will give you the depth of cut for gears of that particular pitch.
mklotz said:This may sound like nit-picking to a lot of the readers but, if you're going to do something as intricate as gear making, you might as well have the correct formulae. It's particularly important with my program since I have no idea who might use it and for what purpose.
bob ward said:There is one thing about cutting gears with hobs that I've never quite got my head around.
I assume that as well as setting the helix hob at the proper angle to the blank, there needs to be a side feed so the hob traverses the face of the gear.
Have I got that right?
mklotz said:Dean,
I twitched when I read that since my GEARSPUR program uses 2.2/DP to calculate the working depth. I assumed that anyone as clever as you hadn't made a mistake but, OTOH, I didn't make up the number I used.
So, I did a bit of research (ain't the web fantastic?) and discovered, via...
http://www.engineersedge.com/gear_formula.htm
that we're both right and also that we're both a bit wrong.
It would seem that the right calculation is to compute the working depth, W, as:
W = 2.2/DP if DP <= 20
W = 2.157/DP if DP > 20
then:
A = addendum = 1/DP
D = dedendum = W - A
I'll be changing my program to include the calculations above.
This may sound like nit-picking to a lot of the readers but, if you're going to do something as intricate as gear making, you might as well have the correct formulae. It's particularly important with my program since I have no idea who might use it and for what purpose.
Yes, and a way to spin the gear so it rotates in sync with the screw action of the hob. If the gear blank is gashed well enough with an indexing head, the screw action of the hob can turn it, like a worm gear.
Chuck
Thank you for your comprehensive and helpful information - I am experimenting with gear cutting and have bought a Mod 0.5 20 degree #6 34-54 tooth cutter? (I tend to work in metric, I am in the UK)
I also found some information on this site http://khkgears.net/gear-knowledge/gear-technical-reference/involute-gear-profile/
My calculations are the diametrical pitch for this cutter is apparently 50.8 (inches?) - so to cut a 40 tooth gear the diameter of the blank would have to be 42/50.8 = 0.82677 inches or 21mm and the depth to cut the teeth would be 2.157 / 50.8 = 0.04246 inches or 1.0785mm (which doesn't seem very deep??)
Does this look correct?
Thank you
Chris
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