(Heiwa) completely ignores the issue of overall structural stability - or bearing capacity - following removal of the key elements. However we see other areas of concern too. For example, there is an underlying assumption that the buckled columns fail gradually and do not "impact" on anything. But we don't see any calculations to support this rather unorthodox view.
Instead there is merely the suggestion (if I understand Heiwa correctly) that they will cause a significant degree of lateral movement. This in itself is even more puzzling, as there is no suggestion that the upper structure in isolation would have sufficient rigidity to topple monolitically. Rather, we would expect the joints to fail almost immediately under the lateral loads and thereafter a more or less vertical path to occur.
Baazant, Greening and others undoubtedly simplify some aspects of the collapse in order to show that there is sufficient energy to support the progressive collapse case. These assumptions are, however, well stated and not unreasonable. Compare and contrast them with the incomplete summaries and rather peculiar analogies which Heiwa uses.
Overall structural stability, whatever that can be, is not affected by
local failures, e.g. 287 columns simultaneously kneeling in the initiation zone - not seen of course - due to being weakened by heat in or overloaded due to load transfers above the initiation zone. This situation can be analysed by proper structural
damage analysis to find the energy used, if any rubble is produced and to see the new interface between upper part C and lower structure, part A.
So what is the new interface and what
local failures may occur there? The affected columns punching holes in the top floor of part A or the affected columns fracturing leaving two free ends of each column that may contact something? And where is part C with regard to part A at this new interface? Part C is probably shifted laterally. What does it mean?
Proper structural
damage analysis provide the answers to these questions.
Bazant had all the answers ready two days after 911. Part C free fell on part A (not seen of course) - perfect impact - shock wave - and part A columns broke like spaghetti. Not seen any videos, of course. Bazant has since, with new co-authors - tried to refine this simple model, latest, the BLGB paper, with a one-dimensional model based on unreasonable assumptions; upper line C having constant length/mass, lower line A being transformed bit by bit into a line B with 4 times greater one-dimensional density (kg/m!), etc. That model is a joke. Line C is driven by gravity and accelerates all the time while line B grows and line A is shortened At the end of crush down line A is replaced by a line B that is 1/4 of the original line A and 4 times greater density??? The whole is described by a differential equation that is supposed to describe the three lines.
The interface between lines A and B is supposed to be a crush front where air is compressed - air in the line??? - and ejected from this one-dimensional model - how?
When line A becomes 0 and line B is 1/4 of original line A, then POUFF, line B becomes even shorter (and denser) and then line C suddenly disappears - POUFF UP! Nothing then remains of lines A, B and C. This is described with a new differential equation. Absolut nonsense - all of it
Asking Benson and Greening what the paper is all about you just get funny excuses.
Anyone reading the article at
http://heiwaco.tripod.com/nist3.htm evidently reads the title and knows what it is all about. Then, to be helpful, the author presents another, more realistic scenario what could happen if part C contacts part A - collapse arrest; part C gets stuck on part A with some local failures as result. Evidently collapse arrest didn't take place because, as the author points out, part C disappeared completely very early
in the destruction, so it can not be arrested. Part C was gone before part B even started to get formed!
Asking Benson and Greening about this, Benson said he had never seen a video of the crush down. His PC is to slow, etc.
Anyway, topic was the fact that steel structures cannot globally collapse due to gravity alone, later refined to be that a steel structure cannot be crushed down by dropping a part of it on itself. This should be quite clear by now so I suggest the thread is closed!
I am leaving for ski vaccation, anyway. See you in March at some other thread.