Well, that is an absurd statement. What is the magnitude of the force exerted on the upper part of the tower from the crushed debris, then? And where does it come from?
As I have already said, the force comes from the crushed debris not falling freely. If the crushed debris was falling freely, it would exert zero force on the upper part of the tower. If acceleration of the crushed debris as it crushes the bottom part of the tower is
a, the force exerted by the crushed debris on the upper part of the building is F=(g-a)/m, where m is the mass of the upper part of the building and g is the gravitational acceleration.
It's my understanding that Bazant assumes each floor fully compresses when it is crushed. It seems logical then that any force on the crushed debris would be transferred up through the debris and into the upper block of floors. Or does the debris layer just magically absorb it?
Just as the force exerted by the ground on a building is
not fully transferred up through the building into a person standing on the roof, force exerted on the crushed debris is
not fully transferred into the upper block of floors. Force is change of momentum over time. The debris layer does not absorb the momentum magically; it "absorbs" it physically. As the mass of the crushed debris increases, same force applied to it over unit time results in the same amount of momentum change, but less velocity change. Velocity change over time is acceleration.
To put it simple, applying the same force to an object with greater mass will cause the object to accelerate less, exerting less force on objects attached to it. If you apply force F1 to a rigid object X1 with mass m1, and there is a rigid object X2 with mass m2 attached to X1, force exerted by object X1 on object X2 (and by object X2 on object X1, of course) will be F2=F1*m2/(m1+m2), i.e. less than F1.
You misunderstand Newton's Third Law. It's all about two bodies, and it's all about your frame of reference.
If you take the Earth as one body, and the building with a person standing on it as another body, then the Earth is, in fact, exerting an equal and opposite force upwards on the person/building body that is equal to the gravitation force being exerted on the earth due to the weight of the building plus the person.
If you take the person as one body and the building connected to the earth as another body, the Newton's Third Law dictates that the building/earth body is exerting an equal and opposite force on the human that is equal to the gravitational force being exerted on the building/earth body due to the human's weight.
Yes, this is true. I am surprised that this realization does not help you see that your conclusions are incorrect.
Please realize that the force between the building and the Earth, and between the person and the building is absolute and can be directly measured - the latter being much less than the former. This directly invalidates your assertions that force is "transferred" through bodies.
Newton's Third Law does not discuss three different bodies that are interacting at the same time, so it doesn't help much when you're trying to analyze the behavior of the earth, building and person as separate bodies at the same time.
Which is why it also doesn't help when you're trying to analyze the behavior of the bottom part of the tower, the crushed debris, and the upper part of the tower. Which is why I said that you misapplied Newton's third law to arrive to incorrect conclusion - specifically, that the force between the crushed debris and the bottom part of the tower is the same as the force between the crushed debris and the upper part of the tower.
You
just explained, in your own words, why you cannot use Newton's third law to arrive to that conclusion. Do you not see that it invalidates your argument about the forces having to be equal?
Nice try, though. Maybe you should go back and take Physics 101. I still remember the discussions we had about how important the frame of reference is in the analysis. It's also important in the conservation of momentum analysis, by the way. Does any of this ring a bell?
I fail to understand the purpose of this remark.