(1) I'm afraid that the often quoted 'truism' that faced surfaces have to be concave to mate properly is model engineers twaddle . In any full size job that mattered great pains would be taken to ensure that faces mated flat on flat .
Doing otherwise would mean that in , for instance , a flange to flange joint in pipework carrying high pressure liquid :
(a) Very big stresses would be induced in the flanges when doing the bolts up .
(b) The zone effective in preventing leakage would be a narrow circle rather than a wide circular band .
Or in , again for instance , the backplate for a large chuck :
(a) The contact zone would again only be a narrow ring rather than a broad band . This narrow ring would crush almost randomly as the bolts get done up causing misalignment on first installation and new misalignment everytime chuck is taken off and put back .
(2) Quality machine tools have always had their theoretically perfect alignments tweaked in order to obtain better accuracy and wear characteristics .
As regards the concave setting for facing on lathes this is quite common and has several origins :
(a) It would be most definately undesirable for a lathe to face convex so the basic aim is to face flat . Since , however , in the real world everything has to have a tolerance this is set to ensure that a lathe always faces in the accuracy range of : ' flat to minimally concave ' . There is never any intention to deliberately turn concave .
(b) Deflection compensation .
(c) Life prolongation . Not as dramatic as stated above – just a general precaution to ensure that long term wear did not cause lathe settings to drift away from the (2)(a ) condition in a working lifetime .
There's a lot more to it .
Regards ,
Michael Williams .