I agreed with you. Bazants model was right thats what Im going to use to argue against truthers. Thanks. What should I tell them when they point out that the top of the building isnt falling straight down but is toppling over?
I would ask that Newton's Bit read this over and tell me if I have it basically correct...........
Despite the fact that the upper portion of the building is tilting it never gets a significant amount of its mass beyond the walls of the lower section. Thus the great bulk of the upper portion's mass is still above the lower portion of the structure. Why is this important?
Because that tilting movement, that is to say the amount of rotation per second, before initial collapse is pivoting about a 'hinge point' somewhere at the junction of the two sections. However at the moment that this 'hinge' fails and the upper section starts to drop, the angular momentum would now have it rotating about the upper section's center of mass and the center of mass is falling straight down, it is not moving sideways at all. Thus the great bulk of the mass of the upper section is still going to impact the lower section and the difference in time from the leading part of the upper section hitting the next floor down to the lagging side doing so is going to be less than half a second. That is where the only assymetrry that is significant comes from.
Imagine a big stationary wheel , you drop it and it falls straight down. Now imagine that same wheel rotating in space but with no lateral movement and if you drop it, it still falls straight down. It does not matter if you then take a 2X4 and have it rotate about its center of mass and then let it dro, it will also still drop straight down.
So, it is established that the great bulk of the mass of the upper section did in fact fall straight down, it has no choice absent a lateral force such as a wind. Tilt and drift are not the same thing, ask any sailor.
Now the mass in the verniage technique also falls onto the lower section. The biggest difference between this and the towers is where the mass impacts the lower section. In the case of the towers, specifically because of the initial tilt, the upper section mass is going to largely not be impinged upon the lower section's columns but on the floor space it first encounters. These floorspaces were designed to carry floor loads, NOT the load of a ten storey section of the structure. This ensures that, as Bazant made clear, that the floor collapses immediately having been completely overwhelmed by the dynamic load of the crushing mass. This mass then slows imperceptibly and builds even more velocity before impacting the next floor down.
lower section columns are left then with no lateral bracing over several levels and simply cannot survive without buckling under their own long column stresses let alone combined with buffeting by the falling debris.
After a few floors the entire upper section ahs come apart BUT its mass is moving even faster AND it is still subject to one driving force, gravity, that is still, and continues to this day to, acts in the direction we refer to as straight down.
yes there is some assymettry to all of this but once again the driving force makes the preferential direction of travel of any falling object the same thus one side of a floorspace may fail ahead of the opposite side(that's the assymettry) but the entire floorspace fails in pretty much the same fashion.
In fact it is likely that the so called squibs are evidence of this internal collapse happening in places a faster than the destruction of the perimeter walls(thus illustrating the assymettry in the last paragraph)
This is the basic sequence that Bazant uses except that he assumes a solid upper section. He does have the mass impacting the floorspace.
Truthers do not (and I again state I am not stating you are one) what NB's above referred to as enveloping a problem. It is setting the parameters for an approximation. this is to allow one to view the problem in a more basic form and not get bogged down in introducing other details such as an assymettric failing of the floors. So you pick the syymetric case and see what the math brings, you set the upper mass as a solid.
Truthers have argued, "oh its (the upper section) not solid, it will be coming apart". Bazant's model showed a 30 fold greater force on the floorspace than would be required to fail even a pristine, intact floor.
Truthers counter that they can easily take away some of the energy of the impact by using it to break apart the lower conticting parts of the uppers section but if they wish to introduce more deatil in this aspect then they should also introduce the detail that the next level down would have not been in pristine, intact condition having been involved in the initial impact and the subsequent fires. If the floor was already sagging it would offer much less ability to support a static load and even less ability to absorb a dynamic load.
Bazant showed then that there was much more force available to initiate a self propigating global collapse.
the verniage technique is different in detail but illustrates that even when the mass impacts the load carrying columns of a much stiffer masonry structure there is enough force available to initiate a self propigating global collapse.