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Major_Tom wrote:Note to OWE: My guess is that you will point out the einsteen collapse speed estimates pushing the limits of this claim.
I assume that classical mechanics is just a type of tool for for us to understand fall times of buildings.
The only way to really test it is to do the experiment and see what happens.
he estimate of a fall time of a WTC7 sized building given by Dr G when comparing with known demolitions is much more than some estimates using classical mechanics.
Why do you think that is so?
Which way, observing known demolitions or estimating using simplified classical mechanics, seems more valid to you?
(I would think observing known demos would provide a reality check to fall time estimates derived from classical mechanics.)
Perhaps steel office furniture greatly accelerates collapse, versus particle board, versus none at all as in a demo. Or maybe it's the reverse.
newton wrote:steel furniture or particle board would slow the collapse, not accelerate it, wouldn't it?
MT:(I would think observing known demos would provide a reality check to fall time estimates derived from classical mechanics.)
OWE replies: Yes, if the mechanics were sophisticated enough to make predictions. Right now, I think it's probably way more than reality checks, it's just plain reality, like Newton experimenting with collisions to find restitution. Demos should be used to discover and calibrate the parametric input to computations.
Major_Tom wrote:So the big question is do you think this is technically true?
The WTC7 speed of collapse, particularly the first 3 seconds, is too rapid to be the result of natural causes.
This will be high on the WTC7 list (very high)...
I can't agree because I don't know, but it's not that I strongly disagree. It is very curious.




Mechanics can put a box around at least part of the problem and also provide insight. Unfortunately, there aren't many interesting systems that can be solved analytically. Bearing in mind that most analytical solutions use tricks like series and small angle approximations, etc, it's a wonder they have much validity in the real world, but they do.
Classical mechanics does alright with points or rigid bodies of simple shape, moving through a vacuum under the influence of a conservative potential, and not making contact with anything else. Once bodies start making contact, the situation becomes intractable quickly (see this pendulum app) and gets worse until it gets better, when the law of large numbers starts to kick in. With enough bodies and enough collisions, different properties emerge. Then there's deformation and breakage.
Check out granular material, multi-phase flow, power law, rheopecty, and non-newtonian fluids as a sampler.
In some sense, granular materials do not constitute a single phase of matter but have flow characteristics that roughly resemble those of ordinary Newtonian fluids. However, granular materials dissipate energy quickly, so techniques of statistical mechanics that assume conservation of energy are of limited use.
Major_Tom wrote:I'll tell you what my gut feeling is about the discrepancy between 1-D results and real buildings.
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