What would have been the imperial flexible cord size used on 15A radials with 15A BS546 sockets?
Table 22 has it as 70/.0076 (18A). Or are you suggesting 40/ .0076 (13A)?
40/.0076 was permitted on a 15A circuit, subject to the actual load not exceeding 13A.
Regulation A.10 gave three specific exemptions for:
14/.0076 (rated 3A) to be protected by a 5A fuse;
23/.0076 (rated 6A) to be protected by a 13A fuse; and
40/.0076 (rated 13A) to be protected by a 15A fuse.
The equivalent regulation 108 in the 13th edition provided only for 14/.0076 used for pendants to be protected at 5A.
The first metric set of regulations (revised 14th edition, 1970) provided similar exemptions for:
0.5 sq. mm (rated 3A) protected by 5A fuse;
0.75 (rated 6A) or 1.0 sq. mm (rated 10A) protected by 13A fuse; and
1.00 sq. mm protected by 20A fuse, subject to it being close protection (i.e. not a BS3036 rewireable fuse).
Nominal voltage under the 14th?
It depended upon the area, since this was before standardization at 240V. An idea of the leeway taken into account then can be seen in table D.1 for maximum earth-loop impedances for different fuses. The tabulated figures are shown as being for use with systems with a nominal declared voltage between 230 and 250V, with a correction factor of Eo/240 to be applied for lower nominal voltages.