I'd suggest you read the bazant and verdure paper:
Abstract:
Progressive collapse is a failure mode of great concern for tall buildings, and is also
typical of building demolitions. The most infamous paradigm is the collapse of World Trade Center
towers. After reviewing the mechanics of their collapse, the motion during the crushing of one floor
(or group of floors) and its energetics are analyzed, and a dynamic one-dimensional continuum model
of progressive collapse is developed. Rather than using classical homogenization, it is found more
effective to characterize the continuum by an energetically equivalent snap-through. The collapse,
in which two phases-crush-down followed by crush-up-must be distinguished, is described in each
phase by a nonlinear second-order differential equation for the propagation of the crushing front of
a compacted block of accreting mass. Expressions for consistent energy potentials are formulated
and an exact analytical solution of a special case is given. It is shown that progressive collapse will
be triggered if the total (internal) energy loss during the crushing of one story (equal to the energy
dissipated by the complete crushing and compaction of one story, minus the loss of gravity potential
during the crushing of that story) exceeds the kinetic energy impacted to that story. Regardless of
the load capacity of the columns, there is no way to deny the inevitability of progressive collapse
driven by gravity alone if this criterion is satisfied (for the World Trade Center it is, with an order-
of-magnitude margin). The parameters are the compaction ratio of a crushed story, the fracture of
mass ejected outside the tower perimeter, and the energy dissipation per unit height. The last is the
most important, yet the hardest to predict theoretically. Using inverse analysis, one could identify
these parameters from a precise record of the motion of floors of a collapsing building. Due to a
shroud of dust and smoke, the videos of WTC are useless here. It is proposed to obtain such records
by monitoring the precise time history of displacements in different modes of building demolitions.
The monitoring could be accomplished by real-time telemetry from sacrifcial accelerometers, or
by high-speed optical camera. The resulting information on energy absorption capability would be
valuable for the rating of various structural systems and for inferring their collapse mode under
extreme fire, internal explosion, external blast, impact or other kinds of terrorist attack,
as well as earthquake and foundation movements.
http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/ProgressiveCollapseWTC-6-23-2006.pdf