I did think my comments would start the ball rolling.
The formulae in the DIN Spec, is as simple as it comes. The required diameter for STRAIGHT knurling = the finished diameter – 0.5 X t (the spacing of the Knurl). Thus once the product of 0.5 x t, is known, (and written down), it never needs to be done again, or until the Pitch of the knurls is changed (t ?).
Depending on the diamond pattern it is 0.67 x t or 0.33 x t.
You will notice at no time have I mentioned calculating the CIRCUMFRENCE, there is no need. I do remember an article in Model Engineer many, many years back which went into oodles of calculations to get the Correct Pre-Knurl diameter. This article did work using the circumference as it’s basic theory. To my mind it was this article that put people off even considering doing any form of calculation when it comes to knurling.
The Straight knurling tool on my Compact 5 is 1/2″ diameter by 3/16″ wide, and 80 T, (t= 0.498 mm). Turning a blank to 1/2″ diameter and proceeding to knurl produces a mis-matched knurl. Reducing the diameter by 0.010″ (0.249 mm), (the required amount), gives the correct form. Both examples start with a 0.010″cut, so why the discrepancy?
This reminds me of one of my colleagues in the Toolroom who used to call the Knurls the “Graunch-O-Matic” tool. This being long and merry before Wallace and Gromit’s antics.
Regards
Gray,