Dave Rogers
Bandaged ice that stampedes inexpensively through
If 29,000,000 pounds is the carrying capacity of 1 floor (not doubting you)...
Is this why the floor could not support the weight of the collapsing top section? Because the top section weighed more than 29,000,000 pounds?
That is the essential NIST theory boiled down in a nutshell is it not?
No, there's a good deal more to it than that. For a start, there's the difference between static and dynamic loading. Everything has some elasticity, and hence will deform under load. If a weight is placed on top of an undeformed object, that object will be compressed by the load. However, that compression means that the weight moves downwards, so, at the point where the object has deformed enough to bear the weight, the weight is moving. The object then has to exert a force to stop it moving, and it can be shown that the maximum force exerted is twice that of the static weight. Therefore, the top section not only weighed more than 29,000,000 pounds, but also it exerted at least twice that force on the lower section. "At least", because it wasn't placed gently on the top of the lower block - in which case it would have exerted exactly twice its weight at maximum deflection - but rather it fell on the lower block, which means that even more force was required to decelerate it to a standstill. Therefore, the floors wouldn't have been able to resist the static loading of the upper section, the dynamic loading was twice that, and the actual loading was even higher; estimates of the actual loading indicate that it was enough to collapse not only the floors, but the support columns as well. However, that wasn't necessary for collapse propagation; the columns were only able to stand when braced by the floor trusses, and were too slender to stand unsupported.
Dave