It looks like you're using an Ad Blocker.
Please white-list or disable AboveTopSecret.com in your ad-blocking tool.
Thank you.
Some features of ATS will be disabled while you continue to use an ad-blocker.
Sorry if I'm confusing you -- the buckling of the perimeter columns was the last straw so to speak, but at the moment of collapse, the perimeter was already supporting the core. It stands to reason that the core started moving downward a fraction of a second before the perimeter. An academic detail. This is consistent with NIST, who computes the remaining capacity of perimeter and core in NCSTAR1-6D for different moments in time and describes how the core weakened (and shortened) first.
The core was the most compromised because that is where the fire was hottest. There is the least heat loss to the outside, the greatest stack effect due to the elevator shafts (all in the core!), and the fact that at impact most of the furnishings were pushed up against the core.
WTC 2's core was damaged MORE than WTC 1, not less. The plane didn't practially miss the core at all -- only the starboard wing did, the fuselage and port wing hit it directly. More importantly, WTC 2 was hit at a flatter angle, so the core took more of the impact than WTC 1, where the floor system took more of the blow. WTC 2 was also hit at higher speed. This not only destroyed more columns, but also sawed off the corner of WTC 2's core, whereas WTC 1 was hit pretty much dead center.
Bazant & Zhou's work uses simplifications, but it is fairly insensitive to most of their assumptions. You are welcome to try to disprove their paper. Nobody has done so, nor has anyone offered a different (valid) model with a different outcome.
The perimeter of the WTC is often described as a "Vierendeel Truss," i.e. a truss without diagonal members, one that relies on the connections to provide resistive moment. Resisting the wind means designing the structure to handle the overturning moment of the wind.
Computing the overturning moment is not practical. There are a lot of factors that are hard to model. Interference between the two towers, as well as that from surrounding buildings, is a huge correction. So the original designers used a wind tunnel model and empirical results. NIST replicated the experiment and got slightly different answers.
In any case, you work out the maximum design overturning moment and apply this as a body force to the structure. In the side facing the wind, this creates tension, and in the opposite face, it creates compression. Steel handles both with reasonable ease provided you join the members correctly. Tension opposes weight, but compression adds to it, so stress is higher on the compression side. You size the perimeter columns for the compression load. This load also decreases with height (think of drag over the whole face of the structure), so the most tension and compression is felt near the bottom.
To first order, simply divide the total force (at any given height) by the number of columns. The structure isn't really a homogeneous solid, but it's such a large structure that this is close enough. The largeness of the structure also allows you to ignore moment for any individual member and simply think in terms of axial stress. That gives you the design wind load for an individual column.
Actually, NIST doesn't need to provide this at all. The deflections in outer columns are determined by photographic evidence, not simulation. This is an input, not a result.
The actual force to pull the perimeter columns inward ("out of place" is a red herring) is small. The majority of the force is provided by the vertical load, not the floor trusses. A small side force leads to eccentric loading, and that reduces the perimeter column's ability to withstand buckling under load. Had the perimeter columns not been loaded, it would have taken much, much more force to pull the columns as seen.
The amount of force needed, as estimated by NIST, is not terribly high -- under 5,000 pounds per column, ten to twenty columns per floor. That's a total of perhaps 100,000 pounds or 50 tons on a given face of the structure. An individual floor can exert this with ease through mass alone. It can also apply thermal contraction forces (having sagged and then begun to cool late in the event).
NIST did this in simulation. The sag of floors was computed using their fire and thermal response model. This sag, by the way, is also seen in photographs. NIST also estimated whether the forces required (~ 5,000 pounds) were within the capabilities of the connections between floors and columns, and though the actual strength of these connections is imprecisely known, found that it was quite plausible.
But, again, this is not essential for their collapse model. Their collapse model takes the perimeter bowing as an input. It doesn't predict it, nor does it have to. NIST was satisfied to show that the bowing seen could be explained by the floor sagging mechanism.
Arup goes further and actually predicts the floors sagging and inward pull. In this respect, their model is superior, and independently verifies NIST's "critical hypothesis."
If you'd read my whitepaper -- the subject of this discussion -- you'd note that I cite and use the Cardington experiments. I know all about them. I also cite Dr. Usmani's results.
The Cardington results demonstrate something quite different from what you claim, however. The Cardington full-scale test found beam temperatures of up to 800 Celsius, not "a max of between 600 and 650 C or so." The raw data is available online if you'd like to check. Please keep this in mind.
There were also reports from the NYPD aviation unit of structural members visibly glowing in broad daylight -- in the interior, of course, so there are no pictures, but nonetheless we have every reason to believe that a significant quantity of the structural steel exceeded 600 C.
Your claim that "NIST found no evidence" of this is wrong. The *recovered steel* may not have reached this temperature, but they were not looking for steel that exeperienced high temperatures. Quite the opposite. They only recovered steel that survived intact enough to (a) bear identifying marks, and (b) provide an unambiguous account of its failure mode. Steel that exceeded 650 C would be highly unlikely to yield either result, and as such was passed over. NIST's evidence for higher temperatures includes the NYPD report as above, but also its own full-scale fire test and its modeling effort, which predicts steel temperatures in some locations much higher than this.
The Cardington study, claiming that failures occur primarily due to thermal expansion, was based on a study of traditional column and beam structures. The WTC design does not fit this criterion. As I stated in my paper, I also feel that NIST underestimated the effect of thermal expansion, but it is simply incorrect to claim that the Cardington experiment is a good fit to the WTC. Different design entirely.
Also, the Cardington experiment was not a "high powered" fire, but rather a realistic one. Its fuel loading was in no way exceptional. The gas temperatures, steel temperatures, and structural damage were intended to synthesize an actual office fire, not -- as you claimed -- intentionally run for extended periods of time.
Regarding creep, the primary issue with creep is in the core shortening. This is where the steel was hottest and loaded the most. Over a period of an hour or so, at temperatures of 600C+, supporting a mass of 20,000 tons at minimum, creep is going to be a factor. This led to unloading of the core load through the hat truss to the perimeter, and partly explains why the structure failed in the manner that it did.
These questions are increasingly tangential to my whitepaper. This is fine, but I would like to point out that, if there are no objections to the whitepaper itself, we should all agree that Dr. Griffin's opinions are dead wrong, as I claim therein.
Thanks,
Ryan Mackey
Originally posted by CaptainObvious
Actually, NIST doesn't need to provide this at all. The deflections in outer columns are determined by photographic evidence, not simulation. This is an input, not a result.
The actual force to pull the perimeter columns inward ("out of place" is a red herring) is small. The majority of the force is provided by the vertical load, not the floor trusses. A small side force leads to eccentric loading,
The amount of force needed, as estimated by NIST, is not terribly high
NIST did this in simulation. The sag of floors was computed using their fire and thermal response model. This sag, by the way, is also seen in photographs. NIST also estimated whether the forces required (~ 5,000 pounds) were within the capabilities of the connections between floors and columns, and though the actual strength of these connections is imprecisely known, found that it was quite plausible.
But, again, this is not essential for their collapse model. Their collapse model takes the perimeter bowing as an input. It doesn't predict it, nor does it have to.
There were also reports from the NYPD aviation unit of structural members visibly glowing in broad daylight
Your claim that "NIST found no evidence" of this is wrong. The *recovered steel* may not have reached this temperature
it is simply incorrect to claim that the Cardington experiment is a good fit to the WTC. Different design entirely.
Also, the Cardington experiment was not a "high powered" fire, but rather a realistic one. Its fuel loading was in no way exceptional. The gas temperatures, steel temperatures, and structural damage were intended to synthesize an actual office fire, not -- as you claimed -- intentionally run for extended periods of time.
This load also decreases with height (think of drag over the whole face of the structure), so the most tension and compression is felt near the bottom.
Originally posted by CaptainObvious
That's not how the argument works.
We KNOW that the perimeter columns slowly deflected inwards, because we have photographs of them doing so.
We KNOW that sagging truss structures that remain attached to columns exert a pull on those same columns.
As a result, this mechanism is entirely predicted.
The side force, by increasing the eccentricity of the axial load, has a disproportionate effect on the column's buckling behavior.
Originally posted by CaptainObvious
I gravely doubt you understand Dr. Greening's work, let alone have refuted it.
The spandrels have little relevance to this situation. They're flat, thin panels that provide shear support in a totally different direction.
Also, since multiple columns are pulled at once, only two spandrels -- the ones at the edge of the pulled-in area -- are stressed.
I reject your request for me to build you a truss, heat it, and photograph the deflecting columns.
The above scenario is true *no matter what* causes the truss to weaken.
This is absolutely elementary engineering knowledge, the kind of thing taught in a first-year statics course. No experimental proof is required.
They have been available for some time. Turn in particular to Chapter 2.5 and Appendix A of NIST NCSTAR1-6D, and the reasoning leading up to Figures A-48 through A-51.
Quote from Ryan Mackey:
If the complaint is about the failure modes observed during collapse, it is quite possible --
Bsbray11 : Have you not considered that this relatively small force "pulling" the outer columns inward is only going to result in actual displacement proportional to the sum of all the forces holding the column "in place" when it starts to move?
mr Mackey : I wouldn't say that, because it isn't true. To get a certain lateral deflection in the columns, you can either apply a small pulling force to the side, or you can apply a much larger compression force axially. You can't just add these two forces, not even in quadrature.
Let me give you an extremely simple example. Stand on an empty soda can. If you balance carefully, the can will support your weight. Then have a confederate dent the side of the can ever so slightly -- and you'll come crashing down. The side force, by increasing the eccentricity of the axial load, has a disproportionate effect on the column's buckling behavior. This is, roughly speaking, why the modest pulling forces were such a critical factor in the perimeter columns.