Once again, let me intervene in this trainwreck.
realcddeal's mathematical approach is wrong. There's no doubt about that.
What he's attempting is closer to computations of bullet penetration than shear. In such a situation you may divide the bullet energy (in foot-pounds, typically) by the cross-section to get a relative estimate of penetrating power. But that just doesn't hold in this case.
Cratering charges will act by applying impulse to a
section of column. This impulse translates into stress, which may fail the column through shear, through bending, or through fracture. This is complicated. You can't just divide energy by cross-section and be done with it.
Shaped charges are similar, but apply their impulse over a smaller area. There is also an erosive effect, particularly with respect to things like HEAT shells. This is
way more complicated and generally requires modeling.
realcddeal, you've got a lot to learn...
This whole discussion is moot, anyway. I personally have estimated that it would take about 150 kg of TNT equivalent to destroy an average WTC floor. Not huge charges, but large enough ones. But that ignores that somehow my charges have to:
- Pull in the exterior columns first
- Provide no visible, audible, or seismically detectable flash, blast, or shock
- Survive the impact and fires (particularly impossible for shaped charges)
- Get placed to begin with
- Leave a good chunk of the ruddy core standing after the rest of the collapse was complete!
It's a non-starter. Even if it only took a tiny amount of explosives, it's just not credible. Nor supported by any evidence. So stop fussing about it, please.