Christopher7
Philosopher
- Joined
- Aug 18, 2006
- Messages
- 6,538
Good point. You have found another reason why the NIST theory fails.Wait,,,, so the NIST theory has it that the girder was pushed/walked across the seat to the point where it failed/fell off the seat. Chris now wishes to argue that the girder sagged which would pull axially along the girder and shorten the depth of girder residing on the seat. It would also reduce the stiffness of the steel of course, including that portion which sat on the seat.
In either case we have less girder steel on the seat and as Chris wishes to include the effect of the heat on that steel, we have more malleable steel on that seat , the combination of which would serve to have the seat-girder connection fail.
Assuming that the load to strength of the girder is the same as the beams, a 45' girder would expand and sag ~85% as much as a 53' beam.
@ 600oC
A 53' beam will expand 4.68" and lose 0.49" to sagging for a net expansion of 4.19"
A 45" girder will expand 3.98" and lose 0.41" to sagging for a net expansion of 3.57".
Since there is less than 2" clearance between the girder and the columns, the girder is pressing up against both columns.
@ 700oC
53' expand 5.63" shorten 4.42" net expansion 1.12"
45' expand 4.79" shorten 3.77" net expansion 1.86"
@800oC
53' expand 6.62" shorten 10.11" net shorten 3.49"
45' expand 5.63" shorten 8.59" net shorten 2.96"
The beams have pulled the girder to the east ~3 1/2"
About ~1/4" of the girder web is still over the support plate. It must be more than the thickness of the seat away from the support plate to bend the seat plate down and get past it.
@ 900oC
53' expansion 7.54" shorten 16.64" net shorten 9.1"
45' expansion 6.42" shorten 14.14" net shorten 7.72"
~850oC the girder will fail due to shortening and/or walk-off to the east but that is not the NIST theory. Thermal expansion cannot push the girder more than ~5" before sagging starts pulling it back the other way, which is why NIST lied about the width of the seat and omitted the stiffeners. How can we be sure they are lying about the width of the seat? They also lied about the stiffeners. There is no way that could be an innocent mistake.
Offering alternate theories does not change the FACT that the NIST theory doesn't work so they did not explain the collapse.Then there is the scenario in which the fire begins burning down and the steel cools and contracts in which if Chris is correct the sagged girder now shortens axially even more, or as the CTBUH brought up, the sagged beams cool and shorten and pull the girder off its seat.
If you think you have a theory that will work then write NIST and let them know.
ETA References:
Beam expansion
http://img823.imageshack.us/img823/4...spreadshee.jpg
Beam sagging and shortening [100 psf load - full dead load & 1/2 live load] [FONT="]
[/FONT] http://img210.imageshack.us/img210/1644/shorteningvtempusingais.jpg
Reference data
http://www.aisc.org/WorkArea/showcontent.aspx?id=7046
Second reference [has larger sag numbers]
http://www.civil.canterbury.ac.nz/sif/paper19.pdf
Last edited:
