realcddeal:
That all depends on the time-temperature-load profile for the column of interest and that varied from column to column.
Exactly how does molten metal, even if it existed, support a CD theory?
Usmani et al. I think I had that sushi last night with a nice Asahi lager.
realcddeal:
That all depends on the time-temperature-load profile for the column of interest and that varied from column to column.
Let's not derail here, guys.
Don't let the twoofers off the hook that easily. They've run up agin' it real hard, here, and are attempting to hijack the thread.
There are lots of "Molten Metal" threads to play in. Let's leave this one to the bowing.
How much shortening through creep would you estimate for the core columns?
realcddeal:
That all depends on the time-temperature-load profile for the column of interest and that varied from column to column.
This is an awesome thread. Thank you NB. You've cleared a lot of things up for me in your simple anaylsis.
Mackey: Doesn't his model also demonstrate that core column cutting due to therm?te (assuming proper therm?te cutting devices exist) theoretically could have been the culprit too? I'm pretty sure firgure 3 and 4 support the notion that cut core columns alone, could result in perimeter bowing.
Did you understand the difference between Calculation 1 and Calculation 2?
Yes I do.
Calculation1= no fire=slight bowing=no collapse
Calculation2=fire=increased bowing=collapse
(simply put)
But in both calculations, bowing occurs.
This is an awesome thread. Thank you NB. You've cleared a lot of things up for me in your simple anaylsis.
Mackey: Doesn't his model also demonstrate that core column cutting due to therm?te (assuming proper therm?te cutting devices exist) theoretically could have been the culprit too? I'm pretty sure firgure 3 and 4 support the notion that cut core columns alone, could result in perimeter bowing.
edit: My figures are not to scale. An inward bowing of 1 inch at that scale wouldn't be noticeable, thus they are exaggerated. With just the core column losses, the inwards bowing of the perimeter would not be noticeable.
And you just gave away the punchline. I was hoping Sizzler would figure out the actual values for the bowing on his own.![]()
Very good, now what does that suggest as an answer to your therm*te question?
Whoops! My bad.
With just the core column losses, the inwards bowing of the perimeter would not be noticeable.
I'm glad I could help.
Not impossible, but exceedingly improbable. For the CD theory to work here, the columns would have to be severed by whatever fantastical therm*te charges, then have kicker chargers on them that would push a piece away from the column so that the top just doesn't rest on the bottom. The exterior columns would still need to be at about 600c, and therm*te ain't going to work there. Most of the length of column needs to be heated to near 600c. Just a small piece of it heated up, such as in Max Photon's fantasy isn't going to cause the inwards bowing. However there's still problems with this scenario: the kicker charges would be heard, the fire still needs to be HOT and there needs to be severe damage to the floor slab (by heat or collision).
edit: My figures are not to scale. An inward bowing of 1 inch at that scale wouldn't be noticeable, thus they are exaggerated. With just the core column losses, the inwards bowing of the perimeter would not be noticeable.
Time-temperature may have varied, but the unit stress was the same for each column at a specific floor. This was done to eliminate warpage between the core and perimeter due to differential deflections. Of course, that would have changed slightly, due to the aircraft damage, and the extra load would probably not have been distributed in a perfectly uniform way, but it wouldn't be way off either.
I have looked at this and for the 98th floor, with 20% of its core columns incapacitated, the unit stress would go from approximately 10,800 psi to 13,500 psi on the 36,000 psi yield strength A36 steel.
With these unit stresses it is hard to imagine very much creep occurring due to office fire temperatures, especially not at the relatively low temperatures which the actual core columns, which NIST did testing on, saw.
It would have been very nice if all the steel from the fire affected areas was saved. Unfortunately, it is hard to see any innocent reasons for why it wasn't.