Originally posted by NeOmega
0.33 x 0.25 = .0825
25% = .25, x .0825 = 0.020625 = about 2% of the building was damaged, but surprise, surprise, the NIST report tried to convey it as about 25%, and only the most discriminating of readers would notice this.
0.33 x 0.25 = .0825
25% = .25, x .0825 = 0.020625 = about 2% of the building was damaged, but surprise, surprise, the NIST report tried to convey it as about 25%, and only the most discriminating of readers would notice this.
Your math is faulty. When 25% of the depth is "scooped out" of "one face" you don't divide by 4 for the number of faces and then by four again for the depth. The depth scooped out already accounts for the cross section. The part about "one face" just means it didn't wrap around a corner of the building.
The destruction of the lower floors was therefore .33 x .25 = .0833.
However, this is not 1/12 of the structure carefully excized, like an ice-cream scoop taking a chunk out of the side of a chocolate cake. It is a concrete and steel mass, like a sledge hammer, dropping from hundreds of feet above, crashing into the building, tearing out 1/12 of its structure. Structural members that weren't "scooped out" would be damaged in ways only revealed by close inspection.
Furthermore, in the section where 25% of the depth was scooped out, 25% of the structural integrity was gone. If there are load mechanisms to magically transfer load from the end of the building where the damage weakened it to the less damaged opposite end then you would have a point.
Once the damaged end starts to collapse it is all over. The weight of the structure will pull down the rest, more or less into the center of the footprint.
We have seen catasrophic damage to large buildings before,
catastrophic as in Alfred P Murrah, as in the embassies in Kenya, as in buildings in Iraq. They had much greater shocks to their foundations, and yet, they still at least partially stood
Yet this steel framed, American engineered skyscraper, built to withstand 100mph winds and earthquakes, gets some rubble at the southwest corner, and a couple of small fires, and in 7 short hours suddenly collpases in on itself?
Unbelievable!
catastrophic as in Alfred P Murrah, as in the embassies in Kenya, as in buildings in Iraq. They had much greater shocks to their foundations, and yet, they still at least partially stood
Yet this steel framed, American engineered skyscraper, built to withstand 100mph winds and earthquakes, gets some rubble at the southwest corner, and a couple of small fires, and in 7 short hours suddenly collpases in on itself?
Unbelievable!
Once again, the WTC structures were built far more lightly than even contemporary and comparable projects, using advanced load-sharing techniques, etc.
The fires were not "small" just because they didn't engulf the entire structure. One only needs to sufficiently weaken a small area to bring the whole down, if that small area encompasses a significant fraction of the part that wasn't "scooped out."
Murrah building was reinforced concrete, and therefore no comparison can be made. Likewise the Embassy buildings in Kenya, and most of the buildings in Iraq.
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