Your concept is false. You DON'T have the whole mass below to consider. All that has to be overcome is the floor truss bearing points and the columns buckle as the building comes down. The first occurance of impact load is somewhere near the explosive force the as the bomb that destroyed the exterior face of the Murrow Building in Oklahoma City.
The way it occured is that the collapse is incremental and cumulative. One floor at a time. And each floor adds mass as it is absorbed into the falling structure.
Look, Click this link to download an initial analysis. It is very much as I describe because this is what any competant engineer would arrive at. I won't argue with a stump. I bet neither will the ASCE.
Why Did the World Trade Center Collapse?Simple Analysis
By Zdenˇek P. Baˇzant1, Fellow ASCE, and Yong Zhou2
http://www-math.mit.edu/~bazant/WTC/WTC-asce.pdf
But hey, ignore it. Go ahead, scratch each others ignorance and find the and reptilianssss who are taking over. Be fun to watch. But this is craziness. I got better things to do. I'm an old man and I should be sleeping at 3:20 in the middle of the night.
By the way. I have either designed, planned, and/or constructed steel components for:
Several petroleum cracking furnaces.
Three coal fired steam plants
Many structures at all the plants (X-10, Y-12, & K-25) in the Oak Ridge DOE complex.
Four dams
Four nuclear plants.
And that is only heavy industrial and doesn't include commercial or institutional.