Not codified, that I've seen.

But I suggest you start with the Spangler Stress Formula. There have been proposed modifications to it. It covers hoop stress.

As for bending stress, as a CAESAR input, I've calculated the increase in area distribution of the load as a function of the angle of repose for the material and depth, which reduces the load distribution, but increases the length of pipe affected.

You'll want to consider distance between axles for purposes of overlapping loads frustums through the ground.

I would advise putting in various safety factors due to the inherent long term unpredictability of roadwork lifespan and potential idiot driver overloading the road.