This is the lens/shutter unit from the side: it's sitting on one of the flat edges.
You can see the plate itself is pressed out to make a central raised, flat section; or seen from the other direction, it creates a central depressed section, in which that felt ring (in the previous picture) sits.
I make the overall thickness from the rear of the plate to the front of the raised section 2.4 mm; but with what I have to hand (a Vernier caliper) I wouldn't want my life to depend on the exactness of that. It seems to me that my lens plate has deformed slightly, into a saddle-shape. The top and bottom edges lean slightly toward the back, and (I think) the sides lean forward. I toyed with the idea of tightening the plate in a vice while I had it apart, but I held off doing that, on the remote off-chance the shape is deliberate.
You can see two spacers behind the shutter unit - the thick black edges. These are aluminium, with inner diameter 30.9 mm and outer diameter 41.8 mm. They are 1.1 and 2.0 mm thick, but I guess that may be specific to my camera and lens. Next slide please.