Leon,
There were at least two 5/16-25 hex nuts in use at that time. #z385 was a tall nut of 7/16 inch across the flats, used for the OHV cylinder head nuts. This allowed just enough room for a thin ring spanner. According to the K29 spares list (DT model) this was also to be used for the crankcase half bolts too. There was also a 5/16-25 nut #711 that was 0.525 inch across the flats (5/16 Whitworth wrench opening) that was used for things like the magneto clamp studs, cam follower clamp studs, etc. However I have seen plenty of these used on crankcase halves as well. The smaller hex seems most needed on the two bottom studs where the nut sit in a counterbore. These part numbers date back to the 2-3/4hp era.
In conjunction with one or both of these was used part #735, a 5/16 heavy flat washer, that was 0.072 inch thick and about 0.620 inch diameter. This was used for the crankcase half bolts. Another washer #4990 was used for the cylinder studs, and was presumably thicker yet. This also (part number usage) from the K29 spares list.
I have made a run of about 500 each of the afore mentioned nuts and washers (except #4990 for lack of a verified example) in alloy steel, but I have yet to get around to listing them in the spares offered section as they ended up being a bit pricy and I do not expect them to sell!
Unusually comprehensive spares lists for the 3-1/2hp Sports survive that would help throw some more light on this matter. Especially since it came just before and the K29 model just after, bracketing the RA model as it were. Unfortunately Douglas chose to (unusually) renumber all the parts for that model even though I an sure some of the hardware remained identical. So the fact that the 3-1/2hp Sports mentions which washer is used with the cylinder head is of little use without a cross reference. It might have also helped with the usage of the Thackery washers, which were Douglas' favorite when a shake-proof (?) washer was needed. The only place I can think of off the top of my head that I know these were used were with the engine mounting clamps. In the DT era the bolt heads were drilled for locking wire anyway, so the Thackery washers were superfluous.
-Doug