Justin39640
Illuminator
- Joined
- May 22, 2009
- Messages
- 4,202
Fine.
How does that fit in with the rest of the day's events?
Or was it simply a massive coincidence?
It's a miracle it was the only other one.
Fine.
How does that fit in with the rest of the day's events?
Or was it simply a massive coincidence?
Your formula should be doing that work. You shouldn't have to manually manipulate the calculations unless you're trying to work backwards from a result that you want.
Are you working backwards from a result that you want, Dave?
To quote Charles Babbage, "I am not able rightly to apprehend the kind of confusion of ideas that could provoke such a question." The energy lost to the buckling of columns is simply the integral of force over distance. The deceleration produced by the buckling of columns is determined either by integrating the force over the distance to yield the kinetic energy loss, or by integrating the force over time to yield the velocity loss directly; the two are mathematically equivalent. This has been understood since the 17th century. Therefore, it's equally valid to approach the modelling either way, by entering a specific force curve or by entering an energy loss as the means of representing the structural resistance due to column buckling. In neither case is there any question of working backwards from a result to an assumption.
In parenthesis, it's perfectly reasonable to model a process with a specific input used as a variable parameter, in order to assess the sensitivity of the model output to the value of that parameter. For example, the collapse time could be calculated with a range of different values for the energy loss due to column buckling, in order to determine its effect on the result. Frank Greening, in fact, performed exactly that calculation, and found that a range of realistic approximations to the column buckling energy loss gave variations of order half a second in the collapse time. If we find - as we do - that the collapse time is correctly predicted, within measurement error, by any plausible value for column resistance, then we can conclude - as, in fact, we do - that there is no reason to suspect any weakening of the columns by external means before or during the collapse.
I expect ergo to respond to this with another irrelevant and ignorant pseudo-objection, which I'll probably ignore. He has neither the will nor the ability to do the calculations for himself, so there seems little point trying to educate him on the details of how it can be done.
Dave
The model (WTC1,2) for these calculations is based on resistance by the buckling columns, not the floor plates. It is interesting that the collapse times predicted in this manner matches closely the actual times of collapse.
Since the majority of interior and exterior columns were not deformed by buckling, it would be interesting to calculate collapse times by a model based on the floor plates falling onto each other and failing at the floor joist connections.
I believe someone did the calculations to show that after one floor's columns buckled, the remaining tower falling exactly column to column would have still led to complete failure.
I... Why troofers have such a hard time understanding that simple concept is beyond me.![]()
I believe someone did the calculations to show that after one floor's columns buckled, the remaining tower falling exactly column to column would have still led to complete failure.
It would not require the floor plates falling on each other either, simply the upper portion of the tower hitting the floor plate would be a rather instantaneous failure of the floor plate....and onward through several floors. This destruction would cause the failure of the columns......both core and perimeter because they were dependent on the floor plates for lateral support, which is why some parts of the perimeter peeled away like a banana skin and ended up 500ft from the tower impaled in other buildings. Why troofers have such a hard time understanding that simple concept is beyond me.![]()
Right.
Professional Conspiracist sites like AE911T claim multiton column assemblies thermwhatever silently exploded to 500 feet but don't show the overhead picture of the perimeter column assemblies toppled on the ground like a fallen ladder reaching out to the Winter Garden; and for WTC7 begin the video start of the collapse 6-7 seconds after the collapse of the east penthouse and without sound.
These lies, half-lies and similar anti-rational viruses then spread e-promiscuously and deceive the gullible, incompetent and uneducated. For these Truther-Believers, the political ends justify the lying means.
Major Tom
The collapse of the Towers is divided in two phases:
First Phase. The non-CD initial failure of one floor as explained by NIST and over a dozen other experienced non-CT structural engineers in their papers.
Second Phase. The non-CD progressive global collapse as explained by Bazant. NIST, and where mentioned by the engineers above, have reviewed and agree with Bazant’s second phase hypothetical collapse explanation.
In the main body of his first 2001 paper, Bazant assumes the most optimistic hypothesis, not the actual failure mode of the Towers because the actual collapse details are almost impossible to analyze precisely. So :
“For our purpose, we may assume that all the impact forces go
into the columns and are distributed among them equally. Unlikely
though such a distribution may be, it is nevertheless the
most optimistic hypothesis to make because the resistance of the
building to the impact is, for such a distribution, the highest. If the
building is found to fail under a uniform distribution of the impact
forces, it would fail under any other distribution.”
[qimg]http://4.bp.blogspot.com/_aJeegFsC3nY/R3L_2XdW1SI/AAAAAAAAAbY/uR21-Fs5wXE/s400/Picture+3.png[/qimg]
Figure 1
Hypothetical collapse mode (my words)
Later in the same paper he answers a question about the actual collapse mode. You can see the top portion is tilted. This differs from the axial, uniform hypothetical collapse mode of Figure 1 above.
“Appendix II. Why Didn’t the Upper Part Pivot About Its Base?
Since the top part of the South Tower tilted [Fig. 3a], many
people wonder: Why didn’t the upper part of the tower fall to the
side like a tree, pivoting about the center of the critical floor?
[Fig. 3b]. To demonstrate why, and thus to justify our previous
neglect of tilting, is an elementary exercise in dynamics.
Assume the center of the floor at the base of the upper part …
…. From this we further conclude
that the reaction at the base of the upper part of South
Tower must have begun shearing the columns plastically already
at the inclination of approximately 2.8 degrees.
The pivoting of the upper part must have started by an asymmetric
failure of the columns on one side of building, but already at
this very small angle the dynamic horizontal reaction at the base
of the upper part must have reduced the vertical load capacity of
the remaining columns of the critical floor …..”
It’s this pivoting horizontal reaction thrust that contributes to the displacement of all columns in both towers and is missed by CTs.
[qimg]http://911review.com/coverup/fantasy/imgs/figure4.gif[/qimg]
http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/405.pdf
I can see your setup a mile away. You will claim the initial phase was CD’d at the core and that phase two was gravity driven. I will call this opinion MCCCDH – (Minimalist Core Columns Controlled Demolition Hypothesis.)
You allege numerous times in your paper that Bazant claims that the perimeter and core columns globally failed by actually being crushed. This allegation is wrong as explained above.
Truther critics of Bazant have not read his papers, or if they have they don’t understand them, or if they understand them they are misrepresenting him.
.
Major Tom still misses the big picture as previously explained, by not dividing the collapses into two phases.The NIST WTC1,2 reports thoroughly analyze the actual events leading up to the initial collapses. The NIST WTC7 report thoroughly analyzes the actual initial and global collapse. Each report is integrated.
Bazant’s three papers and response to comments thoroughly explains actual global collapse of a building where the impact forces go into the columns and are distributed among them equally. Bazant applies this paradigm as the closest ideal analysis of the global collapse of WTC1,2. His calculations of the collapse times following this paradigm is corroborated by the close match to the actual collapse times of the Towers by multiple seismographs monitoring ground vibration in the general area. Review of Verinage demolitions indicate the validity of the crush down crush up phases of homogenous collapse propagation. The papers are integrated.
Bazant’s consistent refinement of the original WTC1,2 paradigm is the subject of another post. I personally don’t have the time now.
Both NIST and Bazant’s papers complement each other as the gravity only explanation of the collapse of all three Towers.
It is a mistake by Major Tom to criticize Bazant for not thoroughly explaining the initial collapses of WTC1,2 and initial and global collapse of WTC7. These were outside his respective scopes of study. See NIST.
The convention among civil/structural engineers is to distinguish between these two phases and as being complementary. Major Tom ignores this by scrambling ice cream and steak, steak a la mode, as it were. This creates the straw man bulk of his criticism.
First Bazant paper (written two days after 9/11/2001)
Second Bazant paper
1)Major Tom’s lightweight math free analysis reveals a lack of experience in any of these fields. (Structural engineering, mathematics, physics)
"To a truther, having double standards simply means they're better than the average person, because they have twice as many standards."- CI1mh4224rd
2)Wrong- Bazant has a strong background in all three. The literature is replete with structural engineers analyzing the mechanics of falling buildings and structural failures, not mathematicians or physicists.
Major Toms’ mistakes throughout all three papers continue similarly.
Major Tom believes CD occurred in NIST's Phase 1, Initial Collapse. Bazant is the wrong venue. The proper venue for Major Tom's CD claims is the NIST report. Analyze that instead.
It is like Major Tom showing up to play at a Bruins-Rangers game dressed in ballet tights. The proper venue for that is Nijinsky’s Le sacre du printemps at Lincoln Center.
It's the latter.
This is not the only factor, but it too is partially correct.
Think of it in terms of impulse -- the total change of momentum at a particular impact. Impulse is equal and opposite, by conservation of momentum. Impulse is equal to F delta-T (force times the time over which the force is applied), or M delta-V (the raw change of momentum in its familiar definition P = m V).
When we look at the "upper block," it's delta-V is smaller than the delta-V experienced by the newly broken part of the lower block. As you say, the upper block decelerates by an average 1/3 g, while the lower block accelerates by an average 2/3 g. This is because the participating part of the lower block masses less than the participating part of the upper block -- it really is the compacted mass and upper block versus a small number of floors at a time, not the entire lower block.
The reason only part of the lower block participates at any given time is because the lower block is still a mostly intact sparse structure of braced columns. When it's hit, the columns lose bracing, get loaded eccentrically, shear their welds and bolts, and in some cases are totally overwhelmed and fracture entirely. These pieces break at a stress much too low to actually support the descending mass. This also has nothing to do with the strength of the perfectly intact building -- the descending rubble heap isn't contacting the lower structure at its strongest points, and it's introducing brand new failure modes, so the effective opposing strength of the lower structure is far lower than its ideal carrying capacity. Furthermore, where the lower structure does resist at or near its ideal strength, it can only do so for a very brief delta-T -- until reaching its failure strain, which takes only about ten milliseconds at the speeds of collapse -- and this is not enough to amount to all that much total impulse.
The upper chunk, in contrast, is cushioned by a thick layer of rubble. This is compacted about as far as it can, thus it doesn't have those complex failure modes and it doesn't suffer much more "damage" even at much higher stresses. So the rubble pile remains, and the lower structure gives way. This is for the same reason you don't sink into the ground, even though you can push your finger easily through a cupful of soil.
The "upper block," what remains of it, rides on top of this cushion of debris. It is supported pretty well. It also only decelerates at that lower rate, thanks to the much greater inertia of the upper block + debris. So the only real force it suffers is the inertial force, i.e. its own self-weight times its deceleration, again about 1/3 g. It can be expected to survive this deceleration. It's only when the rubble pile has nowhere else to go and the upper block has to suddenly stop, dissipating all of its momentum in mere milliseconds, that it totally fails.
Again, this is slightly idealized, but you get the point. Unless you're a Truther.
But wasn't that exactly what you were doing with Bazant?
The same long row of columns to the Winter Garden shows that Bazant and you in particular are hypocrites, too.
How can you not see the same proof applies to you?
Where did crush up, then crush down go.
Did you forget all about that?
...ROOSD is known through internet forums only.
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