I don't believe it was ever specifically 'designed' as such, rather that it evolved as the sum of various existing practices and manufacturing tolerances of new and existing items.
It was generally realised that a gauge of 'about' 60" was 'about' right for the overall weight of the waggon loads ( the principal design parameter for any railway )
broadly speaking, there are rules-of-thumb relating waggon loading, running speed and gauge. Hence the acceptance of the 2' and 2'6" ( 75cm ) gauges - 2'6" gauge railways are much larger than 2' gauge ones.
2' ( 60cm ) is generally regarded as the smallest 'useful' gauge, with gauges of 18" and 15" where very tight radii, very small loading gauges and limited traffic loadings are the main constraints.
same applies to 3' gauge and 3'6" ( Cape Gauge ) railways. 3' gauge can be as large as British-outline standard gauge, 3'6" provides higher running speeds and total train weights.
European railways generally use 1 metre gauge for both 3' and 3'6" applications, for historical reasons
''the stopes soared beyond the range of our caplamps' - David Bick...... How times change .... oh, I don't know, I've still got a lamp like that.