Running some rough and dirty math, that would give you a range around 53 miles for a fully loaded 80,000 pound truck. I base this off a 4800 curb weight Model S 90 which gets 294 EPA range. 4800/80000 gives you 0.06 (weight of Model S vs wight of a truck). .06 * 294 (range of a 90D) gives you 17.64 miles of range if you stuck the 90's battery in a semi truck. Multiply that by three as you suggested and you get 52.92 miles of range. Perhaps you get some slightly better efficiency from a tri-motor setup, but that will be erased by a loss in aerodynamic efficiency.
Obviously that will never cut it. You need at least a 900 kw pack to get 530 miles of range, which would likely be the minimum needed by the industry. More likely, you would see 100kw in the cap and another mw in the trailer totalling 1.1mw. That would give you 647 miles of range. That is still well under the total range of a full tank of diesel on a modern semi.
And no, solar panels don't even put a dent in the amount of energy needed.
I don't think that the math works exactly like you wrote it. And my physics is pretty rusty, so it would take me a while to try to calculate all the forces, so no thanks. But I do know my physics is good enough to say you can't just take the weight difference and extrapolate that out to try to say you need x more packs, in a frictionless world, yes, but in our world of friction, NO.
A loaded semi weighs roughly 16 times a model s. It does not have to have 16x the coefficient of drag and hence wind resistance. Wind resistance is the largest force that needs to be overcome here. And I know for a fact that a semi won't have 16 times the wind resistance. Just guessing, it would need to be about 50 feet tall for this to be true.
Edit: not exactly sure how the rolling resistance increases, maybe 16 times, maybe more, maybe less but it doesn't have 2 axles it has 8. Anyways I do know, it will require loads more energy, but your extrapolation is just incorrect.
Further edit: My example semi was designed as showing that just substituting ICE bits with electric bits you end up with a semi with more torque more hp and a little over 3 1200lb Tesla battery packs.
Also I mentioned that Tesla could build the first prototype autonomous Semis specifically for in house shipping packs from Reno to Fremont. This would allow them to plug in the 40 or so packs (about 40,000 lbs of cargo) in parallel to power the trip from Reno to Fremont. This also would allow them to do extensive road testing of their motors under high torque demand, like needed for industrial applications.
It would also allow them to get regulatory approval for a very specific autonomous route (aka- Reno to Fremont) before its given to the masses.
I see this as a huge catalyst for Tesla:
1. Having Tesla Semi's on the road for their own corporate use. There would be a lot of exposure for the Tesla branded truck traveling on the highly traveled hwy 80. And, with that happening how many other companies would want to order the same thing.
2. The media buzz of Tesla trucks 100% powered from solar at the gigafactory.
3. The first commercial autonomous transport.
4. It would make it obvious to a lot of people on the fence that electric transportation is clearly the future for ALL use cases.
5. How much nicer it would be to follow behind a semi that's not spewing poison.
6. Drafting!!!!!!! Like I said, Tesla would need about 40 semi's to transport all the required packs from Reno to Fremont.