Weaver wrote:psikeyhackr wrote:Wasn't supporting the static what the columns in the WTC did?
psik
Not in the same way your paper loops did.
The columns supported the static load of the entire structure - but each floor (the washers, in the case of your model) was supported via the brackets. When those failed (through fire weakness, added weight load, or whatever) the columns were bypassed.
Absolutely true and this is the overriding consideration. If there was not full involvement of supports in crushing, and there wasn't, a model which requires full involvement is not expected to act in accordance with the real collapses. Both psikeyhackr's model and the model Bazant used are full accretion crushing. Because of this, psikeyhackr can counter that Bazant's model must also be worthless if this is the only discriminator. It's necessary to dig one layer deeper to distinguish between the two and understand how one successfully demonstrates the intended principle while the other completely fails to demonstrate anything of value.
As noted above, "a model which requires full involvement is not expected to act in accordance with the real collapses" but, if such a model does show some commonality with the real collapses, it may be useful and interesting to understand
why it does. Bazant's intent was to examine the extreme limiting case of all vertical supports crushed under ideal axial loading to see if collapse was the result, given certain initial conditions. Indeed, collapse was the result, and by a wide margin. One can argue whether all of the assumptions were really conservative towards survival but it's apparent more extreme scenarios could be constructed. Doesn't matter; the scenario Bazant used was heavily biased towards survival compared to the actual collapse mode which you described.
Yet it collapsed.The Bazant model had a static factor of safety greater than psikeyhackr's model, approximately 250%. But it also incorporated the well-established properties of steel columns buckling under an axial load and, because of that, arrived at a valid result of total collapse. Steel columns need only be compressed axially to a few percent of their unloaded length before they are a mere fraction of their original maximum static capacity. Paper loops, on the other hand, hover very close to their original static capacity during the early phase of crush, then likely ramp UP in capacity when approaching full compression unless the loop disconnects.
Energy dissipated in crushing is
average force (capacity) times distance crushed. "As weak as possible"
statically is not the determining factor, since the average force can be much higher than much stronger supports which fail decisively over a relatively small displacement.
This is what you don't get, and why your model is worthless when compared to the WTC.
psikeyhackr did an excellent model of an automobile crumple zone. Exactly the opposite of a structure which would progressively collapse. He built something
which could barely stand yet absorbed impact kinetic energy with tremendous efficiency. Worthless when compared to the WTC.