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Interesting study, and he certainly knows his equations well, but it's my conclusion that he hasn't applied them correctly. Formulas used improperly can result in some strange findings. I'm sure someone could pull together a handful of equations and data points that when presented might seem to prove that the earth is flat, but we all know that's not the case (all of us except those that believe " the planes were a hologram" and the "moon landing was fake").
I'll point out a couple of ways where he has misapplied his equations. If you find something in the report that shows I'm wrong, please quote it so I can re-evaluate my conclusions.
1. He uses conservative assumptions to conclude that the 16 floors that fell that first 3.7 meter distance reach a speed of 8.5 meters per second by they time they impact the floor below and begin the compression of the columns. I'll agree with this.
2. He then calculates that the columns load and buckle in about .013 seconds and that the the 16 floor mass is slowed slightly in the process, slowing to about 8.0 meters per second following the buckling. I'll agree with this as well.
3. He concludes that this slowing will eventually lead to a halt in the collapse. But he makes a couple of mistakes:
A) True, the mass slows from 8.5 mps to 8.0 mps in the very short distance (3% of the column height; about 1 inch), but if you look at the larger picture, the mass has actually accelerated from 0 mps (at the start of the collapse) to 8.0 mps. It has gained considerable speed and gravity continues to pull it downward. Now the mass starts it's next floor height decent, but this time it doesn't start it at 0 mps, it starts it at 8.0 mps. And, it reaches a much higher speed before it impacts the next floor and starts the cycle all over again. Constantly gaining speed and momentum, NOT slowing.
B) He mentions the fact that after impact, the mass is now 17 floors in lieu of the initial 16 floors, but I don't see how he incorporates this into his work. Obviously as the building collapse the mass of the combined floors increases one floor at a time. The extreme of this is reached when the lowest single floor is impacted by the upper 99 floors all combined as one large mass. Surely the reader can imagine that whatever slowing effect the columns of the lowest floor may have on a 99 floor mass is negligible. And the 99 floors are falling much, much faster than the 8.5 mps used in these calculations. This increasing mass has a similar and increasing effect as the collapse progresses downward.
C) He mentions that in the early stages of the collapse, the column compression is transfered about 16 floors below the level where the primary impact is taking place. What he doesn't take into account is that this is weakening and deflecting these columns making them even less likely to support or even slow the ever increasing mass when it gets to that particular floor.
There are plenty of other glitches in his conclusions, but these are a few that jumped out at me. |
