The truth is many people apply the concept of crush down, then crush up to 3-D situations. Consider a great example from BLGB. Bazant writes:
From BLGB, pg 894,5: “Generalization of Differential Equation
of Progressive Collapse
The gravity-driven progressive collapse of a tower consists of two
phases—the crush-down, followed by crush-up (Fig. 2 bottom)—
each of which is governed by a different differential equation
(Bažant and Verdure 2007, 312–313). During the crush-down
phase, the falling upper part of the tower (C in Fig. 2 bottom),
having a compacted layer of debris at its bottom (zone B), crushes
the lower part (zone A) with negligible damage to itself. During
the crush-up, the moving upper part C of the tower is crushed at
the bottom by the compacted debris B resting on the ground.
The fact that the crush-up of entire stories cannot occur simultaneously
with the crush-down is demonstrated by the condition
of the dynamic equilibrium of compacted layer B, along with an
estimate of the inertia force of this layer due to vertical deceleration
or acceleration; [see Eq. (10) and Fig. 2(f) of Bažant and
Verdure (2007)]. This previous demonstration, however, was only
approximate since it did not take into account the variation of
crushing forces Fc and Fc ‘ during the collapse of a story. An accurate
analysis of simultaneous (deterministic) crush-up and
crush-down is reported in Bažant and Le (2008) and is reviewed
in the Appendix, where the differential equations and the initial
conditions for a two-way crush are formulated. It is found that,
immediately after the first critical story collapses, crush fronts
will propagate both downward and upward. However, the
crush-up front will advance into the overlying story by only about
1% of its original height h and then stop. Consequently, the effect
of the initial two-way crush is imperceptible and the original hypothesis
that the crush-down and crush-up cannot occur simultaneously
is almost exact.”
Fig. 2. (Top)Scenario of collapse; (bottom) crush-down and crush-up phases of collapse; (A) intact stationary (lower) part; (B) dense layer of crushed debris; and (C) intact moving (upper) part
Is Bazant applying his crush down, then crush up model to the WTC towers in this quote and in the figures, or is he only describing and and illustrating the theoretical scenario best able to survive as an extreme case (which we do not expect to match the actual towers)?
I see no mention of this only as a theoretical case most optimal for survival. Are we to assume so?
He never refers to the diagrams as only an extreme, theoretical case based on assumptions most optimal for survival.
Myriad or others, should we assume this is only the case most optimal for survival?