Right, some numbers at last… And amplifying Jon Lawes answer.
My source is Martin Evan's Manual of Model Locomotive Construction, and differs little from the Cheltenham table cited by Jon. See his reference for a diagram.
3.5" track gauge : Min, curve radius 14ft, recommended min. 30ft.
Note that Evans does not go into track design so gives no figures for gauge-widening on curves, but a study of the dimensions and some drawing should give you a guide. The wheels are meant to run with a slight gap between rail and flange, on the straight, but obviously not overdone! So, this is what Mr. Evans gives
Wheel-set Dims, inches rounded to 2 dec. places
Back-to back (i.e. between the inside faces of the flanges): 3-9/32 = 3.28. (important for point-work and crossovers)
Wheel width (or thickness if you like): 13/32 = 0.41 (Cheltenham quote 0.375)
Flange thickness 5/64 = 0.08
Flange Depth (root to tip) 1/8 = 0.13
Coning (taper) 1 in 20 or 2.8º ( 5 – 6 º included. Don't exceed the angle)
That gives an outer flange dimension, or front to front as it were, of 3.12 inches. That does not account for the root of course, which takes up much of that 3/16 " a side difference
The thinner wheels the Cheltenham club specifies are probably nearer scale, but the Evans dimension may allow for more latitude in practical building of tracks. The Cheltenham society's track is of aluminium rails and their site says, for its longevity will not allow access to locos and rolling-stock with wheels not to specification. (I imagine other societies with similar rails would say the same.) These are all for models of Standard-gauge prototypes.
So – I am assuming you already have the loco and rolling-stock. I would first verify their wheel-sets' dimensions in case you need alter the track gauge slightly to allow for that, in proportion to the above dimensions. Be careful though because that may preclude future running of a locomotive built to standard.
Otherwise build your track to 3.5"g., but determine if you need widen that slightly on the curves, and by how much.
My own club has a ground-level 5 and 7.25 " g track, and uses two groups of setting-gauges each consisting of an aluminium bar with notches milled in it, one for the straights, the other for the curves. Two or three gauges are a placed a few feet apart on the track as it is laid. Ours is of flat bar, not prototypical section, but the principle is the same.
'
I tried to view the homemodelenginemachinist reference but it obviously contains something Very Naughty, because my BT "Parental Controls" blocked it! BT asked if I want access – yes – but then the page came up as " can't be displayed " . Good thing I am over 18.