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Deformation is often described as strain.
Disclaimer No. 2 :
The policy of NIST is to use the International System of Units (metric units) in all publications. In this document (1-3E), however, units are presented in metric units or the inch-pound system, whichever is prevalent in the discipline.
Yield strength (AISC usage) = Fy
Built-up core box columns were to be fabricated from two grades of steel with 36 ksi and 42 ksi minimum yield strengths.
Charles M. Beck : Core Columns (CCs) were made of structural steel which varied from nominal 36 KSI (ultimate 58 KSI) at the top to nominal 42 KSI (ultimate 60 KSI) at the bottom.
4- He assumes that the columns can shorten by 20% before they buckle. That means that a 1000' lower part must shorten to 800' for it to buckle.
originally posted by: LaBTop
Thus, according to you, all those columns would be still firmly standing there in New York, since they did not buckle.
How then, did they manage to fall indeed, got perfectly cut at 3 floors lengths, and showed no signs of buckling at their ends AT ALL?
Only cutter charges can do that.
originally posted by: LaBTop
It's also proven through logic, that stuff falls on floors, and indeed it did during the progression. It's a known fact that the floors and their connection system cannot hold up the falling mass, and that is why there is so little resistance.
To put it simply, the floors resisted the collapsing, falling mass. Not the columns.
There can be no logical argument against that.
That's your kind of logic.
I see something else. Immediately after that failure of that exterior panel that hinges to the left in that video of the collapse initiation moment of the North Tower top, already that explosive ring of dust is spitting out of that floor. I don't see stuff falling, I see stuff flying.
And you avoid Chandler's graph, which shows no resistance AT ALL during the first THREE seconds of the collapse, measured from a pixel-point situated on the sinking roof rim.
You totally avoid the fact that in your scenario, that roof rim would stand in place for those full three seconds, because all exterior and interior columns would also stand in place.
Only your progressive collapsing floors would fall inside these two walls of interior and exterior columns and their adjacent panels and crossbeams.
In your scenario, that roof rim would not move at all in those first 3 seconds. And neither would the radio mast sink first, followed by the whole fixed in place, four sinking roof lines.
That roof would be still firmly intact, holding those exterior columns together through the hat truss inside that roof, which extended over the 3 top floors, which were not failing at all in your scenario, since they were not burning equally, or at all.
What we do see however, is an EQUALLY failing and falling hat truss and roof rim sinking down, taking the whole intact top 7 floors downwards into the next 8 failing floors.
And since that hat truss is firmly attached to ALL 51 core columns, and ALL 236 exterior columns, ALL these columns must have failed SOMEWHERE, equally.
Your scenario can not explain what we all can see clearly happening in those first three seconds.
ONLY an explosive scenario can explain that.
originally posted by: LaBTop
lexygoth : He (Beck) says that the yield strain on the steel is 25%, but it's actually .2%. That's off by a factor of 125. that's more than 2 orders of magnitude.
Therefore, there's no need for further discussion.
Mathematical English not your first language?
No, he doesn't say that, he says it like this :
Beck, page 6, text just above equation (13) :
From the properties of structural steel(14) it is known that the yield strain under tension and compression are fairly similar, and is ~ 21 − 25%.
In our model this (LT : yield strain ) is represented by λ1, which we take to be λ1 = 0.2.
The value of compaction limit we take from Bazant(10), λ∞ = 0.2, which leaves λ2 = 1 − λ1 − λ∞ = 0.6.
From there, (r*, s*) in the continuous model are related to (r, s) in the discrete values as,
r*= 0.25 . r
s* = 0.25 . s
It's not so simple to read mathematical dissertations as you thought?
And you didn't look up the definition of yield strain.
~ 21 - 25 % can also be written as : about 0.21 - 0.25 (parts from 1.00 , or from 100 %).
Beck took the even lower value of, to give NIST as much slack as possible.
λ1 = 0.2
Dude.
It's .2%
NOT .2
In our model this (LT : yield strain ) is represented by λ1, which we take to be λ1 = 0.2.
Page 15, post by lexygoth :
There was very little, if any, column to column impacts. Not in the first half second, nor three seconds, nor at any time during the actual collapse initiation nor progression.
originally posted by: LaBTop
Let's cut the crap.
Do you realize, that those COMPOSITE floors must have failed ALL, as if floor-"donuts" were progressively pancaking onto each other, in your scenario. As square "rings" of which ALL core and perimeter connections were ALL broken at the same time, over and over again, over the height of 93 floors.
Because that's what we see in all those videos, rings of dust spitting out of ONE whole 4-sides perimeter of ONE floor. REPEATEDLY.
Rings of dust that are then racing to the ground.
Not chaotic, as expected in a chaotic, natural collapse, but organized. As with explosives.
Bringing those floor sections into lower Manhattan was one of the biggest challenges of the construction era. During a tugboat strike there were midnight caravans of flatbed trucks with police escorts who cleared the roads. The guy who organized the truck runs actually helped truck away the debris after 9/11. Tom Petrizzo.
When WTC steel erector Karl Koch “asked him if he'd seen any floor sections,” Tom replied :
“No, that's what I don't understand. […] I didn't see one goddamn floor deck come here with a bar joist in it. They must have disintegrated. Because they did not get here. And I handled this from day fu*kin' one.”
“Did they send you any decking that was loose, no joists?” [Koch] asked.
“None,” Tom said.
“None? Well, that's impossible. There were six thousand of them.”
“There's stuff crumpled up, but go identify it as a floor deck if you can. Impossible. A lot of guys come and ask me, they know I was involved in bringing 'em over, but Karl, not one came where I could say, 'Oh, here's one.' I could not show anybody a floor deck and say, 'This is what I hauled over.'”
I [Karl] couldn't believe it. Not one goddamn floor panel.
- Karl Koch III with Richard Firstman, Men of Steel: The Story of the Family that Built the World Trade Center, Crown Publishers, New York, 2002, p. 375.
- William Langewiesche, American Ground: Unbuilding the World Trade Center, North Point Press, New York, 2002, p. 32.
“In his reporting for ‘American Ground,’ Langewiesche explored the shifting debris with construction workers and engineers, documenting the crises and questions as they arose. He crawled through ‘the pile’ with survey parties and descended deep below street level to areas where underground fires still burned and steel flowed in molten streams.”
– www.theatlantic.com... (See quote from Langewiesche himself above.)
Peter Tully of Tully Construction was the contractor responsible for the eastern quadrant of the pile– the South Tower, WTC 4 and 5, and the 425,000 square foot underground mall. Tully granted an interview that proved most interesting:
‘Think of the thousands of file cabinets, computers, and telephones in those towers – I never saw one – everything was pulverized,’ he said. ‘Everything that was above grade – above the 6th and 7th floor – disintegrated…it was like an explosion.’ Tully Construction specializes in concrete. I asked Mr. Tully if he had ever seen concrete pulverized as it was at the WTC.
‘No – never,’ he said.
Tully said that there were hot spots where he observed ‘literally molten steel.’ Asked about what could have caused such intense heat, Tully said, ‘Think about the jet fuel.’
- Christopher Bollyn, “Foreign Firms Destroyed Crucial Evidence,” August 14, 2002, online at www.bollyn.com...
“I saw melting of girders in World Trade Center.” – Structural Engineer Abolhassan Astaneh at www.pbs.org...
‘It’s still cooking,’ said Thomas O’Connor, who manages the construction and engineering work at the site for the Port Authority of New York and New Jersey, which owned the buildings and arranged for the tour through the basement.
In the days after the collapse of the towers two months ago, the tangled steel was still so hot that it glowed like charcoal briquets in the unlighted basement, Mr. O’Connor said, adding, ‘For seven weeks it was surreal down here.’
- James Glanz, “Below Rubble, a Tour of a Still-Burning Hell,” NY Times, Nov. 15, 2001, New York Edition p. B1. Online at www.nytimes.com... (See the same article to hear this: “A three-foot stalagmite of steel, which looks for all the world like a drip candle, sits next to one of the immense steel columns that held up the north face of the tower.”)