Please don't misunderstand me. I greatly appreciate all the effort going into explaining this to me.
However, while I understand the HOW this is done, It's the WHY this is done? I figure there is something critical I am missing. A LOT of effort has gone into this method to acquire these dimensions. I am trying to justify in my mind the cost of getting the proper sized pins, Clamps, etc. when simply knowing the throat size and depth of cut will do the exact same thing. No special tools. Just a good set of calipers and a bit of thought.
That is of course unless your trying for .00001" accuracy, in which case I can't even afford a BIT that accurate!! let alone the entire tools set.
By the way, your first set of drawings opened just fine for me.
Thanks again! Much appericate the effort.
b
The latest drawing ( dovetail cutter offset ) clearly shows that simply offsetting the Y axis by the cutter diameter either side does not produce a mating part. This shows that some sort of reference dimension is required.
It can be said that you can creep up with small cuts until the mating part fits but this depends on the weight and size of the parts. It also depends on whether you have the mating part to use as a gauge. This also demonstrates that there is a need for some reference dimensions & a method to measure them.
Let's go right back to basic engineering fundamentals.
Generally speaking:
Measuring over external sharp corners is always avoided, designers will ask for them to be deburred or machined off to give a flat.
Measuring over internal sharp corners is also not accurately possible with calipers and they are rarely called for as they are stress risers.
The traditional way is to give a calculated reference dimension over a given size of pins. Combined with the depth, the theoretical sharp corner positions can be measured. This technique is widely applied, not just for dovetails.
Engineering drawings need to give all the information so that parts made in different locations will always fit. When the male and female parts of a dovetail assembly are made worldwide, the machinists will need a dimension to machine the angled faces accurately. The designer will give a dimension over standard size pins for each part with the relevant fit & tolerance to ensure the parts will work as required.
If an inexperienced designer only gives the dimension over the theoretical sharp corners on the print then the machinist will need to calculate the pin dimensions themselves. Only then can the required dimension be measured, made accurately, proven and guaranteed to be passed in inspection.
I understand that the offsets can be calculated if the cutter diameter is known. Once again the cutter will need to be measured over its sharp corners. It will will have a small radius on them or some wear which makes accuracy impossible. I admit there are other methods to measure the cutter but not practical for individual machine shops to go to this trouble. There still needs to be a method and a dimension to measure the finished part to though.
So although mating parts with angles can be made to fit without any measuring, there needs to be a method for consistent manufacture and traditionally this is using common size pins. With a dovetail assembly there will always be two different dimensions over standard pins, one for the female and one for the male. The method I proposed reduces these two dimensions to one common dimension. It only works with dedicated size pins though. Luckily the pin diameter can easily be calculated as 1/3rd of the dovetail depth. This is the only calculation required. To prevent making or purchasing odd size pins I suggest that the dovetail depth is a factor of 3. For example a 12mm deep dovetail will need 4mm standard pins to give a common size for both parts. ( Formula for 60 degrees only, other ratios for different angles are on the video description ).
Hope this helps.