I did not "promote" or "approve" NIST's simplistic, inaccurate calculation, I just noted that even using NIST's data they came up short.
Using NIST's formula that works out to 5.62". gerrycan was not using the proper formula. He was not using the delta T, the ambient coefficient or the average coefficient.
Do you think the formula he used in his latest spreadsheet is correct?
Do you have a formula?
Instead of addressing the question, y'all just made a bunch of stupid insulting remarks. I have no problem admitting I'm wrong when presented with a fact that shows I'm wrong but you guys have a problem accepting that graciously.
I checked with a couple qualified sources and gerrycan's new spreadsheet is correct. A structural engineer told me several years ago that you can't use a simple formula to determine expansion the way NIST did. The amount of expansion has several factors and must be calculated one degree at a time as gerrycan did. Don't ask me to explain it, I don't know - and evidently, neither does anyone here or someone would have confirmed gerrycan's spreadsheet or produced one of their own to show he is wrong. All you guys know how to do is insult people.
The temperatures just as likely exceeded 675C, not ranging between 640-675 as C7
NIST never does articulate how hot the beams and girder got. That is a curious omission. The test to get the shear studs to break "assumed" the beams and girder were heated to 600
oC and 500
oC respectfully.
In their FAQ updated 9-17-10 they say:
" ... only on the east side of the building did the steel floor beams exceed 600 degrees C (1,100 degrees F). However, fire-induced buckling of floor beams and damage to connections-that caused buckling of a critical column initiating collapse-occurred at temperatures below approximately 400 degrees C where thermal expansion dominates. Above 600 degrees C (1,100 degrees F), there is significant loss of steel strength and stiffness. In the WTC 7 collapse, the loss of steel strength or stiffness was not as important as the thermal expansion of steel structures caused by heat."
http://www.nist.gov/public_affairs/factsheet/wtc_qa_082108.cfm
They double talk around the actual temperature because they know their walk-off hypothesis does not work.
They admit that the beams would lose stiffness at 600
oC. In other words, they would start to sag. We know, and NIST knows, the beams would sag at 600
oC, the question is; how much?
Tony did the math. If you can do better then do it. If not, then accept the data provided as being reasonably close. NIST is way off the mark so exact numbers are not necessary.
At 600
oC the beam closest to column 79 would sag 6.53" and lose 0.13" in length for a net of 4.55" increase in length. At 649
oC the beam would have a net increase in length of 4.75". After that, the loss to sagging would exceed the thermal expansion.
If Tony is way off, show your own math rather than making a lot of stupid worthless comments. Otherwise, accept the data provided.