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.
Originally posted by Akareyon
And the smaller the effective length - something you do using braces, in case you forgot I made that point already - the smaller that area. Of course it seems I don't make any sense if you misinterpret me on purpose. Or think of the core frame as of a few slender 400 meter columns without any horizontal or diagonal beams and bracings.
Did you - or was it exponent - not reply on that occasion, after I have called such a tower a metastable system, that all buildings are in a meta stable state and the only way to stabilize them would be to put all members flat on the ground? Did I not agree? Your argument is invalid.
You say all buildings are in an unstable equilibrium.
Been there, done that. Do want to know how many words exactly they used to describe the collapse sequence in the "Final Report on the Collapse of the World Trade Center Towers" with the objective No. 1 "Determine why and how WTC 1 and WTC 2 collapsed following the initial impacts of the aircraft" (p. xxix)? And would you like to compare it to the computing power for the FEM of each turbine blade of the aircraft? Just so you get some sort of perspective.
I haven't, that is true, and I have corrected myself. Read and understand the AISC document I linked, at least the parts I mentioned. It's all about making a steel frame sound and safe with bracings and connections and calculating momenta and using structural analysis. With all that in place, it is impossible to build a steel frame that progressively telescopes into the basement with hardly any friction forces decelerating the descent.
You won't believe or understand this because you prefer blind trust over scrutinizing what you learn, but I'll tell you anyway: when I tried to verify the formula and my allegations and studied yield strengths and stress-strain curves , something bugged me quite a lot so I tried to find a solution. I found it. And shared it or everyone who follows this discussion trying to make up his mind and looking for the truth and good arguments pro and con. And I freely and honestly admitted a mistake so others don't carry it elsewhere. That makes me a better scientist than you, who with every mistake I make rejoices and pretends I couldn't tell the difference between a cow pat and a pizza.
Right now, by the way, I'm reading a 1966 paper on our little subject... hold your breath, dear friend, quotes are coming :-)
Some steel beams in the core were reinforced and strengthened to accommodate heavy live loads, such as large amounts of heavy files that tenants had on their floors.[106]
I know. And both can be quantified. You are saying all buildings are not just metastable, but in an unstable equilibrium - mechanisms just waiting to go off.
Originally posted by -PLB-
Meta stable and unstable equilibrium are two different things.
You better have some evidence for such an accusation.
Just a general note, you understanding of concepts in physics is severely lacking. You are wrong many times, even though you are not openly acknowledging it.
Yes you do if you say a deviation < 0.2% from the default state inevitably causes a complete adiabatic state change.
You say all buildings are in an unstable equilibrium.
No I don't. Please learn the difference between these basic concepts.
Yes, you are completely right, so I would be glad if you could point me to the part I missed where it explains how a robust steel frame secured against sidesway and P-Δ effects can have a m*g > F_c.
I am talking about the lateral loads. Why do you change the subject completely? Let me guess, because you didn't read the reports, and have no clue whats in them?
Yes, you are completely right, I cannot quantify my claim, but I have learned something new. Fasten your seatbelt, dear friend. Frame structures are designed so they are secured against sidesway and the so-called P-Δ effect, that means if there is a lateral displacement because of wind or earthquake and the load on the columns is not axial anymore, the columns still have to remain in their elastic range and not buckle. So how can a structure at the same time be secured against sidesway buckling and the P-Δ effect and yet get the hell buckled out of it when axial, ideal overload (in the "most optimistic scenario") is applied? I found this little gem from 1966: Elastic-plastic load-deflection curve considering second-order effects and instability by D.G. Follett Jr. which discusses unstable equilibrium and other stuff. It shows what engineers had to do when computers were giant, expensive and clumsy machines. It gives you great insight how engineers actually calculate their stuff - they use moment diagrams and stuff like that, that is why you as a layman are so easily bedazzled by Bazants load-displacement curve and why you are convinced that all buildings have a kind of self-destruction mechanism built in.
So because you can not quantify your claim, you just insist it is impossible. I insist you are making things up as you go.
Stephen Harry Crandall and Norman C. Dahl: An Introduction to the Mechanics of Solids p. 407, McGraw-Hill Book Company, Inc., New York, 1959 (there was a 2nd edition of this in 1978 with SI units (with Thomas J. Lardner) and they seem to be widely quoted in engineering literature. I hope that Crandall, Dahl and Larnder are of the sort of authority you require for your "truths", even if Newton and Galileo are not).
A system is said to be in a state of unstable equilibrium if, for any possible small displacement from the equilibrium configuration, upsetting forces will arise which tend to accelerate the system to depart even further from the equilibrium configuration.
Stephen Harry Crandall and Norman C. Dahl: An Introduction to the Mechanics of Solids, p. 407, McGraw-Hill Book Company, Inc., New York, 1959
A system is said to be in a state of unstable equilibrium if, for any possible small displacement from the equilibrium configuration, upsetting forces will arise which tend to accelerate the system to depart even further from the equilibrium configuration.
Zdeněk Pavel Bažant and Mathieu Verdure: Mechanics Of Progressive Collapse, 2007, p. 2
[...] the tower was doomed once the top part of the tower dropped through the height of one story (or even 0.5 m)
Originally posted by -PLB-
The twin towers were not in an unstable equalibrium.
any possible small displacement from the equilibrium configuration, upsetting forces will arise which tend to accelerate the system to depart even further from the equilibrium configuration
And what is so nonsensical about putting the input energy in relation to the output energy? That it brings matters to a head, showing how ridiculous the official story about self-decomposing skyscrapers really is?
Graham's Hierarchy of Disagreement lists ad hominem as the second worst type of argument in a disagreement.
Source
Originally posted by Akareyon
So you have to resort to claiming that I'm such an idiot that I don't understand what an unstable equilibrium is to solve the dilemma?
And what is so nonsensical about putting the input energy in relation to the output energy? That it brings matters to a head, showing how ridiculous the official story about self-decomposing skyscrapers really is?
In fact, the fires changed the system
Originally posted by Flatcoat
If that's true, wouldn't that only pertain to the area affected by the fire? What changed the system in the other 90 undamaged floors?
The damage done by the planes alone did not cause progressive collapse. The additional damage done by the fires did the rest. Very slowly, it put the building in an unstable equilibrium. It was a matter of centidegrees Celsius, micrometers, nanonewtons or the touch with a finger tip that decided if the whole undamaged tower structure underneath the impact zone would collapse now or a femtosecond later or earlier or never at all. All criteria for an unstable equilibrium are met. Throwing all the 500.000 tons of stuff into all four directions of the wind was now the new path of least resistance to go for the structure until the new equilibrium state - flat on the ground -.was reached a few seconds later. Which part again was it I did not understand?
Originally posted by -PLB-
a building in unstable equilibrium requires an infinitesimal displacement in order to cause global collapse. Even touching it with your finger tip would cause collapse. That is the definition of unstable equilibrium.
No, I'm looking at the energy conversion efficiency of the tower's mechanism. And it's pretty good, at least for a few seconds in each. A small input energy triggered a huge energy conversion. Give me examples for other things that undergo a huge energetic state change triggered by a small input energy. How many can you think of? Here are some:
And like I already explained, at one point, the building reached a state of unstable equilibrium, and collapsed. After that you have a collapsing building. Which isn't in an unstable equilibrium at all. And that is what you are looking at with your nonsensical calculations.
Originally posted by Akareyon
The damage done by the planes alone did not cause progressive collapse. The additional damage done by the fires did the rest. Very slowly, it put the building in an unstable equilibrium. It was a matter of centidegrees Celsius, micrometers, nanonewtons or the touch with a finger tip that decided if the whole undamaged tower structure underneath the impact zone would collapse now or a femtosecond later or earlier or never at all. All criteria for an unstable equilibrium are met. Throwing all the 500.000 tons of stuff into all four directions of the wind was now the new path of least resistance to go for the structure until the new equilibrium state - flat on the ground -.was reached a few seconds later. Which part again was it I did not understand?
Originally posted by -PLB-
a building in unstable equilibrium requires an infinitesimal displacement in order to cause global collapse. Even touching it with your finger tip would cause collapse. That is the definition of unstable equilibrium.No, I'm looking at the energy conversion efficiency of the tower's mechanism. And it's pretty good, at least for a few seconds in each. A small input energy triggered a huge energy conversion. Give me examples for other things that undergo a huge energetic state change triggered by a small input energy. How many can you think of? Here are some:
And like I already explained, at one point, the building reached a state of unstable equilibrium, and collapsed. After that you have a collapsing building. Which isn't in an unstable equilibrium at all. And that is what you are looking at with your nonsensical calculations.
- domino chain reactions (if dominos are set up purposefully)
- avalanches
- bombs
- traps
- machines
- WTC twin towers
Now it's your turn to name a few.
Originally posted by -PLB-
All your questions are answered in extremely high detail in the NIST report. The report you never read.
Originally posted by Akareyon
The damage done by the planes alone did not cause progressive collapse. The additional damage done by the fires did the rest. Very slowly, it put the building in an unstable equilibrium. It was a matter of centidegrees Celsius, micrometers, nanonewtons or the touch with a finger tip that decided if the whole undamaged tower structure underneath the impact zone would collapse now or a femtosecond later or earlier or never at all. All criteria for an unstable equilibrium are met. Throwing all the 500.000 tons of stuff into all four directions of the wind was now the new path of least resistance to go for the structure until the new equilibrium state - flat on the ground -.was reached a few seconds later. Which part again was it I did not understand?
No, I'm looking at the energy conversion efficiency of the tower's mechanism. And it's pretty good, at least for a few seconds in each. A small input energy triggered a huge energy conversion. Give me examples for other things that undergo a huge energetic state change triggered by a small input energy. How many can you think of? Here are some:
- domino chain reactions (if dominos are set up purposefully)
- avalanches
- bombs
- traps
- machines
- WTC twin towers
Now it's your turn to name a few.
Originally posted by -PLB-
The part where you claim that the towers were in a state of unstable equilibrium even before the planes crashed into them. Thats the part where you completely go wrong.