A rough rule of thumb. The towers' potential energy could raise 1,200 tons of steel to melting point. They fell at .7G so must have absorbed 30% of the (by now kinetic) energy in physical destruction*, leaving 840 tons of steel capable of being raised to melt, were the remaining energy to be efficiently transported to ground zero.
This line of reasoning is so completely wrong, I love it when this one comes up. OK so going with your own numbers, we have enough energy to bring 840 tons of steel to ( just for fun we'll call it ) 1500°C
But how much steel did we have

off the top of my head if I recall its about 200,000 tons each tower, and you did say towers <----- plural ( that wasn't getting to specific now was it

) so we can allot 420 tons at 1500°C to each. ( pulls out the ole calculator and, hey, look at that

)
Ends up your right


you could raise the temp of "all" that steel all of a whopping 3.2°C per ton

with that potential energy. Or are you suggesting that all that energy for some mysterious reason never seen before just went into a few beams ? or better yet, just a few locations on some specific beams, and if so, how'd that happen ? ( oops back to controlled demolition again

)
Sorry, and I respect your privacy on the net, but this draws into question your previous claims of higher education, clearly there is a fundamental misconception of the basics IMHO. The energy of impact ( of the planes that is ) might have been localized, and we could see by virtue of a victim standing in the impact hole that it wasn't very hot. But the kinetic energy of collapse would have been distributed over the entire structure and therefor, has zero chance of concentrating in any one area.

Rather you'd get a generalized heating of the entire rubble pile

by all of about 3.2°C, and yet we've got glowing hot yellow/white steel beams being pulled from the pile months later, hmmmmm
These numbers of course assume we just consider the steel, if we consider the entire mass of each tower the temp lowers to about 1.26°C per ton.
No mater how you slice it the fundamental misconception that the kinetic energy somehow managed to result in steel beams glowing at colors in the range of 1100°C simply doesn't cut it.
Best of luck
love
B
