Alien
I would have said you must be
crazy mistaken, but here it is:
Can anyone make sense of this
"Downward Acceleration of the North Tower
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. 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. 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 want to acknowledge the work of Graeme MacQueen and Tony Szamboti who have been engaged in similar measurements by other means and have reached similar conclusions.]
David Chandler
http://www.911speakout.org/ (near bottom of page)
The big problem here is he ignores the inertia force, which must be considered in any dynamic problem.
Once we add the inertia force, a free body diagram of the upper block (which chandler seems to try to do) can be drawn that actually makes sense. This is the case because once the inertia force is included the system can be said to be in equilibrium
For example considering downward positive, the sum of the gravity(mg, acting down), inertia(mass of the upper block times its acceleration, acting up by definition), and resistive forces from the lower structure (F acting up) looks like this:
mg - ma - F = 0
or
mg - F = ma
or
g- F/m = a
from this you can tell if F/m > g, a will be negative, meaning upward in this case. That means the upper block decelerates.
On the other hand if F/m < g, the upper block will accelerate.
If the deceleration caused by resistive force F is enough to arrest collapse can't be known without knowing the specific details about the columns(and considering energy quantities would be better anyway), but we can say that we know the resistive force will vary with the displacement of the column. Also since the columns were designed to hold the static force mg with a reasonable factor of safety, there is certainly a time when the upper block decelerates, followed by a time when it accelerates because a column loses almost all of its strength when it buckles.
In short, chandler showed that the lower structure will cause the upper portion to accelerate at an average rate less than the rate of gravitational acceleration. Which would be expected in a gravity driven collapse where the lower structure provides resistance.