You have a trailer with gross weight of 35 t, supported by 2 axles, each one with 10 t. There are 15 t missing in your count.
As a trailer riding on the road, I would consider the load distribution between the towing bar and the axles, the two axles themselves, and would put some variations like what happens when the trailer faces a hole in the hole or if a tire is deflated. If you draw some diagrams taking in account the suspension travel and the new load distribution to be transmitted to the ground in only two or three wheels and the towing bar, the results may vary a lot. Put it on the paper first.
Second, you need to know by the trailer geometry where the load is being applied to the axle, and where the bearings are going to rest. The distance between them and the distance between tires will affect the axle dimensioning process. With it, you will end with a load diagram near to this one. Then, use some safety coeficients for fatigue, impact and overload conditions. This is what makes sense to me not being a specialist.
I'm assuming you will use pnuematic tires on the axle. Look at
the small print on the side wall of the tire that you are going to use
. Here you will find the load rating of this particular tire. Do
not exceed this limitation. Add the load rating of all tires used on
the axle and you will establish the maximum weight allowable that this
axle unit can safely carry. Hope this helps. DW/Del Sol
Engineering......PS.. Make sure the bearings are rated for the load...