Eddie:
Let me turn your thinking in a totally different direction.
How big is your 4000# tractor? How big is the 2000# implement you are thinking of carrying?
The reason I ask is that I suspect the tractor is larger than 7' long by 4' wide (Overall length & width, not wheelbase). When I calculate psf, I get 143 psf for a 4000# tractor 7' x 4', which I think is pretty conservative. It will probably be bigger than that and therefore lower in psf. The implement will probably also be under 150 psf.
I think it is perfectly possible to construct a wooden bridge capable of carrrying this load with 10' spans.
Look at this website
Southern Pine Span Tables and then go to table 13
Table 13 - 150 psf live loads, 10 psf dead load .
What this shows is that if you used 2" x 12" boards, Grade #2, on 12" centers you could span 12' at a 150 psf load. Since you are only planning on a 10' span, the acceptable load would increase. The 10 psf dead load would represent the deck.
Now someone is going to jump up and and say, well, the tire loads are a lot higher than 143 psf. As much as that is true, the way these tables are calculated is that the span is rated for 150 psf on each and every square foot of the span. As long as the tractor and driver are the only things occupying the square footage under the tractor the structure will spread the load out.
A simple example. When a 100 lb woman puts all of her weight on a 1/2" x 1/2" high heel, she is exerting 57,600 psf on the area under her heel. The floor she is on is not designed for that load everywhere, it spreads the force over a much larger area and she does not fall through.
When I stand with my 200 lbs on one of my size 11's I am a load of 800 psf, if I put both feet down I am 400 psf based on contact area. Again the floor spreads my weight out.
If you could get 20' long 2 x 12s, and still use the center support, you would have "continuous beams" which are even stronger than the "discontinuous beams" span tables are calculated for.
You pick up another safety factor since with beams on 12" centers a 6' wide bridge will actually have 7 beams, so the load can be increased to 7/6 of that shown in the table. In very wide spans this one extra beam is not significant, but in this case, you have almost 17% more load bearing capability.
I would deck a wooden bridge with 2 x 12's instead of 2 x 6's because the wider boards would give better load sharing between the beams. The cost difference will be immaterial--the number of board feet is the same.
They don't have a pressure treated table for 150 psf, but the 100 psf tables for PT and non-PT appear to be the same.
I haven't priced steel lately, but around here a 20' PT 2x12 is about $25-30. Compare $200 worth of PT wood with whatever the steel would cost...