In my last post I showed 3 examples of Bazant applying his concept of crush down, then crush up to WTC1 and 2. We agree that he is wrong when he does this, no?
if so, we have at least 3 examples of incorrect arguments in the Bazant papers.
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If we understand under what conditions Bazant claims crush down happens before crush up, we will see if and how it can be applied to real buildings.
In Bazant and Verdure (BV) Bazant first introduces his crush down, crush up mechanics. he did so by deriving equations of motion for a 1-D stick model which undergoers repeated axial column impacts downwards and upwards from the collapse initiation point.
He first introduced the idea that significant crush up will not occur before crush down is complete because, according to his reasoning, there is insufficient upward force to buckle the columns upwards.
In the real world we would think the upper columns simply stab and puncture the lower flooring like spears and there is no reason to believe that the column buckling strength of the upper portion will allow it to escape destruction.
If we try to claim that for WTC1 the upper portion was not destroyed because there was insufficient upward force to buckle the upper columns, we would rightly be called crazy. YET THAT IS WHAT WE ARE DOING IF WE BELIEVE THE CONCEPT OF CRUSH DOWN, THEN CRUSH UP APPLIES TO REAL BUILDINGS.
In truth, Bazant is claiming that significant crush up cannot occur until crush down is complete because the strength of the columns of the upper portion cannot be overcome until it makes contact with the earth.
Bazant makes a mistake when he applies the 1-D model to claim that crush down, then crush up applies to WTC1 and 2.
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There is no doubt that Bazant uses the concept of crush down, then crush up when describing WTC1 and 2.
This is a mistake and it would be nice if at least one regular poster at JREF would be honest enough to admit it.