You are forgetting that 6mm² T&E has seven strands (14 for 2); each of which is 1.045mm. in diameter.
Good point - I totally overlooked that!
Your seven 2.5mm² wires; diam. 1.784; would fit in a terminal of 3 x that - 5.352mm.
Yep, slightly less than the 5.53mm I was quoting for two (
solid) 6mm² conductors.
Admittedly, this is the minimum geometric size so slightly larger might be required for practical purposes, but a 5% larger diameter results in 10% larger c.s.a.
It does, roughly (as I'm sure you know, actually 10.25%)..
For 14 strands of diameter 1.045mm., the minimum is a circle of 4.523mm.
It's obviously the case that, when correctly remembering that 6mm² conductors are stranded, the minimum terminal size will be less than the 5.52 mm I indicated for a
solid 6mm² conductor [and apologies for incorrectly typing "mm²" for the diameters in the diagram I previously posted!].
However, even if your figure is correct (it may be, but see discussion below), if I've done things right this time
-) ), I think that 4 x 2.5mm² (solid) conductors only require a terminal diameter of 4.30mm - so presumably should easily fit into what you state as the minimum size for the 14 strands of 2 x 6mm² conductors, as illustrated by:
However, I wonder how you came up with your 4.523 mm figure? Unlike the situation with, say, 3, 4, 7 or 13 strands, I don't think that there is any obvious 'fully-symmetrical' optimal arrangement for 14 strands and, if there is a general theoretical solution to such a question, I must have at least temporarily forgotten it
However, in the first diagram below I have examined, graphically the case of 13 strands (fully symmetrical and hence, I presume, 'optimal') and it seems that your 4.523 mm diameter hole is probably not quite (but very nearly) big enough for that, let alone 14 strands.
In the second diagram below, I have looked at what seems to be the 'most symmetrical' arrangement of 14 strands I can think of, and, although I have so far only done this graphically, it wood look as if the minimum required hole size is probably about 4.75 mm, again just a little larger than your 4.523 mm figure.
I may well be going wrong again, but I'd be interested to know how to came to that figure and, in particular, what arrangement of 14 strands you were assuming.
Mind you, the bottom line of all this is that the amount of space to 'comfortably' take 2 x 6mm (stranded) and 4 x 2.5mm (solid) conductors is extremely similar. I have certainly put 4 x 2.5 mm conductors into a socket terminal in my time, and I suspect that, in practice, space for everything in a backbox is probably more often a difficulty than the terminal capacity.
Kind Regards, John