Minorchord:
You are suffering from problem we all seem to have these days, with small offices being hit hardest; and that is that you now need $400,000 worth of codes, manuals, and software to do $1000 worth of engineering these days. This doesn’t particularly improve our profession or our structures, but the publishers are getting rich. Can’t you beg, steal or borrow the AREMA manuals; a Uni. library or another consultant’s office library, they certainly are the place to look for the details.
Bridgebuster knows better than I do, but I would think the ties cause a distrib. of some width on either side of the rails, and the rails cause the wheel load to be distributed to several ties at a time, maybe with some adjustment at rail joints. I would think the AREMA methods would show something like this. Thus, you are talking about a moving 2'x3' +/- load area at 40k, not a point load. Maybe just design the top slab of the culvert with a normal thickness, but under the rails thicken it in an upward direction, an upset beam if you will.