Horatius
NWO Kitty Wrangler
- Joined
- May 9, 2006
- Messages
- 29,691
You could use that to develop a differential equation that expresses an increase in energy from the potential energy into strain energy of the column which results in a deflection that you can use to compute the change in potential energy. I hate differential equations.
You and me both. Is there anyone we can trick into doing this work for us?
That's why I was hoping someone had already done a study on rates of failures. Doing this sort of work is professional-level structure and failure engineering, which I'm not really qualified for. I'm good enough to interpret things for a lay audience, but doing the heavy lifting with the DiffEqs is beyond me at this point.
Of course if the Strain energy (FS) of a particular column becomes less than the force of gravity acting on it then it will tend to distort. If the strain energy becomes catastrophically low then the lower column will fail altogether.
I have no problem with that. Nobody would have.
Except possibly cmatrix, who seems to think that column failure is ridiculous anti-science nonsense.
But I am happy to watch your attempts tp sketch how all four widely-seperated corners of the building dropped at the same time in addition to all the interior structure barring that which had already fallen in the Penthouse collapse incidents.
Well, the sketch won't be all that fancy. The real question you need to be looking for is that discussed above: what is the expected time difference between the first column failure and the last? If that time is sufficiently short, we would not expect to be able to distinguish the two events based solely on a commercial video. By "sufficiently short", I mean on the time scale of a few video frames shot at a rate of 24 or 30 frames per second, depending on the video used. Exactly how many frames would need to be calculated - how much drop would one section be expected to show prior to the other sections beginning to drop, and would that drop show up at the range the camera was at, or would several frames in a row be essentially the same, based on the available resolution of the camera?
So bill, feel free to try to scare up an expert who can answer that rate question for us. You do realize that if an honest analysis of this question leads to an answer significantly greater than the time I mentioned above, that would actually be useful evidence to support your "inside job" hypothesis, right?
By the way how long were the column sections ? From your drawing (8 floors,8 column-sections) it looks like 12 feet or so. Is that correct ?
There you go, acting as if my admittedly limited artistic skills should be taken as some accurate reflection of the actual structure of a real building. I'm illustrating concepts here, not doing draftsmanship.
I chose 8 sections since it let me draw the column very easily, while still being small enough to render a smooth curve somewhat believably. Smaller segments would have made a smoother curve, but then you'd be whining about floors that were 4 feet high. Longer segments wouldn't show a curve, they'd just show a kink.