Hey Newton, would you be kind enough to point out the incorrect physics in this statement of David Chandler's.
A question about physics, and you're asking an
engineer? Sometimes I wonder why I bother.
Anyway, it's a simple error that Chandler's making; he's confusing instantaneous and local forces with time- and position-averaged forces, and claiming that one has to equal the other. I'll put some more detail round that.
David Chandler said:
The roofline of WTC1 (The North Tower) begins dropping with sudden onset and accelerates uniformly downward at about 64% of the acceleration of gravity (g) until it disappears into the dust. This means it is meeting resistance equal to about 36% of its weight.
Assuming the acceleration is correct (it appears perfectly reasonable), then this is OK so far with one correction: it means that the upper block is meeting an
average resistance equal to about 36% of its weight. It's the omission of one simple concept - that the resistance can vary over time, and that the average acceleration only measures the average resistance - that is the fatal flaw in Chandler's reasoning.
David Chandler said:
The implication of this, however, is that the force it is exerting on the lower section of the building is also only 36% of the weight of the falling section. This is much less than the force it would exert if it were at rest.
Again, no problem with this except that the word "average" is needed.
David Chandler said:
The acceleration data thus prove that the falling top section of the building cannot be responsible for the destruction of the lower section of the building
I'm especially curious how Chandler can present himself as a serious thinker with this kind of faulty reasoning.
What's notable about this bit is not that the reasoning is faulty, but that it's omitted entirely. Chandler makes an unjustified leap of logic here, leaving it for his critics to reconstruct the line of reasoning, and hence fall foul of strawman accusations - a classic pseudoscientist's trick. So, bearing that in mind, what Chandler appears to be reasoning is that the lower structure is capable of exerting a maximum upward force in excess of the weight of the upper block, and hence cannot be crushed by it.
I like shopping analogies, so here's a good one. A family earns $2000 per month, and spends $1250 per month on groceries. They're struggling to stay out of debt, so they end up the month with all their money spent.
On average, therefore, they have a bank balance of $1000. Where did that $1250 come from for the groceries?
The answer to both is that the value of a variable
at a specific instant can be bigger or smaller than its average value. (That's what I mean by "the instantaneous force"; the value of the force at a specific moment.) In the case of the falling tower, then upper block can exert a force very much greater than its weight for a small proportion of the time, then none at all for the rest of the time. So: it falls on a column, or group of columns, and the impact slows it down. The columns compress, buckle and break, and suddenly it isn't resting on anything, so there's no force exerted. It falls freely until it hits the next group of columns, and the same thing happens again.
Tony Szamboti claims that this will result in jerks in the movement of the top block, but that's wrong too. If the top block falls perfectly level, so that it hits all the column tops at the same time, then there's a visible jerk as it breaks them; we see this in verinage demolitions, where the collapse is initiated very precisely so that the top block doesn't tilt. The WTC collapses were much more messy, consistent with an uncontrolled collapse initiation, so the top blocks fell at an angle. The column impacts, if indeed they happened at all, didn't happen all at the same time, so the jerk was spread out; in fact, it was so spread out that it couldn't be seen at all.
So what really happened is that the forces between the top and bottom blocks varied with time and position, from very large in some places and at some times, to nothing at all at others. David Chandler's mistake is to assume that there was just a single average force, and that this was evenly spread across time and position. If that had been the case, there couldn't have been a collapse; but once the structure was weakened enough for collapse to begin, and once the upper block had started to tilt, it couldn't possibly be the case any more.
Dave