Well, while we're waiting, we could discuss your reasoning for wanting a column-spacing factor in the model. Shouldn't the total floor shear capacity be the total floor load plus a factor of safety, regardless of column spacing? Or, we could discuss whether or not the perimeter wall would have more of a "funnel" effect with wider column spacing. Or, whether any such "funnel" would make much difference in a 200-foot-wide building.
OK let's take the first step - remember that I said:
It forces me to think seriously.
....And I think it will be exploratory thinking
.... it is an issue I've been taking for granted .
My starting premises are the two extremes of a vector range of possibilities:
1)
At one extreme progression collapses can be legitimately explained by buckling or column crushing energetics as per the Bazant "Limit Case" and the valid extension of those into the generic Model that Bazant was pursuing in BV. Plus any other real event collapse where column buckling/"crushing" is the primary factor. (And this bit of disclaimer to show I'm not overlooking it -
and other factors are a lower order of magnitude).
2)
At the other extreme the WTC Twin Towers collapses progression stages were dominated by floor joist shear failure energetics. NOT column buckling/crushing. The same would apply to any other similar collapse - excuse the circularity i.e. any collapse which like WTC did not crush/buckle columns. (
and other factors are a lower order of magnitude).
I think we are agreed those two as premises. If not please ask for more clarification/justification.
Now from here my reasoning goes in two stages. In Stage #1 I'm seeking to establish agreed premises for debate/explanation of your topic "
we could discuss your reasoning for wanting a column-spacing factor in the model."
Here goes - Stage #1: The two scenarios in those two premises set the extremes of what I will regard for discussion purposes as a single vector. (Yes real life will be more complicated...save for later) And I'll restate it complete with the two almost circular arguments.
A) At the extreme where column crushing/buckling dominates THEN column crushing energetics are appropriate. << That also should be agreed - say if not so. And it is the premise under much of Bazant's work.
B) At the other extreme - where WTC Twins are two real event examples - floor joist shearing dominates (should be agreed) THEN joist shearing energetics are appropriate. << Not sure we are agreed on that aspect yet.
AND -in my earlier posts I suggested that the equations from Bazant's series of papers could be prima facie valid for application to WTC real event
IF joist shearing energetics factors were substituted in the maths replacing column crush energetics. That is the point I first made either 2010 or 2008 and have never followed up myself and I'm not aware of anyone other than you go close to suggesting it or similar. Are you comfortable with that first step of pushing forward with the logic?
At this stage I am bypassing the issue down the other track - whether of not column crush energetics are a close enough approximation for a Twin Towers scenario. And I suggest the joist shear energetics would naturally be a better approximation.
Those are the two extremes. If we can agree those basics of the range of options - or we discuss them further to reach agreement - modifying if necessary - in a subsequent post I can then address the topic that you raised:
That topic being: "we could discuss your reasoning for wanting a column-spacing factor in the model. Because my reasoning is intended to bridge the gap between the two extremes.