On "Semis". Class 6-8 trucks are commodities. You can put whatever power train you like into them. Kenworth, Peterbilt, Mack, International, etc., have already done the engineering to put a wide variety of powerplants into their tractors, but they'll work with the customer to build whatever they need. If Tesla is to build a long haul (usually class 8) truck, they should work with the existing chassis makers to make something that has most of the bugs already worked out of the drive train, suspension, cab, towing gear, etc. As others have pointed out, there's a lot of room for batteries and other goodies in those standard trucks. If tesla wants to put a little of their own sheet metal on it (e.g. by replacing the front grille), I'm sure the existing manufacturers would be fine with that.
One of Tesla's early engineers, Iain Wright, has a company doing exactly this: WrightSpeed. Their present design is aimed at class 6 and 7 trucks (think garbage trucks and other short haul, heavy haulers) and consists of a fairly Tesla-esque power train and a gas turbine range extender. They're only going for fleets, and haven't had many customers yet. It seems to me this is an excellent strategy though. they're targeting uses where there's a lot of opportunity for regenerative braking. there's not much in long-haul trucks.
A long range truck/trailer weighs 10-20 times what a model S does and gets 2-5 mpg out of those diesels. Which confirms that range is pretty directly inversely proportional to weight. So to get an 8 hour day--500 miles--out of a truck that weighs 10 times as much, you'd need 20 times the battery. ~1400KWH. A present supercharger would take 5 hours or more to charge that. because of driver safety time limits, you can't take even 2 hours out of the middle of a trucker's shift, so you'd have to have a battery that can do the whole trip in one charge. This new battery won't need as much protection as the ones in mode S/Xs, but I don't see such a thing weighing less than about 5 tons. a lot; enough to impact the capacity of the truck. (note that the electric motors needed are an off-the-shelf thing for the railroad industry)
(even 80 amps/240 would take 73 hours to charge a 1400KWH battery)
To double the speed of a supercharger would require a much bigger wire. To do it by upping the amperage will probably require a wire too big for a human to horse around (we know that tesla gave up on it's liquid cooled supercharger idea), although doubling the voltage is more practical. another approach would be to split the battery and have two separate cables on relatively conventional superchargers.
bottom line: I see only two ways a long haul EV is possible: 1: carry enough battery for a full driver shift, which means sitting on a supercharger for a majority of the driver's time off shift . or 2: have a range extender using a more conventional fuel.
-Snortybartfast