It appears UKD misunderstood my statement about the floors below the impacts ability to support the floors above as literally meaning the floor spans. This is not the case. The reference is to the remaining structure below the floor levels of the impact. Perhaps I should have referred to the stories below the impact zone. So to answer all your questions. Yes I understand all your basic points about the construction of the building, so perhaps now we can get on with the discussion
OK so you understand that the structure dealing with transfer of the vertical loads to the foundations has to be capable of handling that load and presumeably at some point you will mention redundancy so we'll get that one out of the way now.
The redundancy of the design is based upon a best guess as to the amount of damage a building could suffer in a reasonably predictable event and results in over design of the structure to compensate for this possible damage scenario. However if the damage exceeds this design allowance then the building will be stressed beyond it's capacity and catastrophic failure will occur.
Now, you also claim to understand that a frame building works as a whole, but even with this understanding you appear to still require clarification as to why the lower structure was unable to support the structure above the damage zone.
Well in simple terms the impact damage suffered by the structure took it very close to the limit of it's redundancy. However, it did remain standing. The subsequent fires and their effect of this highly stressed structure was the tipping point which caused catastrophic failure.
The lower structure (below the impact zone) would be able to support the load as obviously no additional mass is being added to the building, though the momentum of falling material would make that mass impose a much greater load on the structure than if it had been static.
But you have to take into account that the steel inner and outer column structure was dependant on the internal floors for restraint. This is the point you seem to fail to grasp.
By collapsing the top of the tower down through the structure below the imapct zone we are taking out the floor assemblies which are most definately not designed to support the mass of the floors above them. As each storey fails the outward forces of this mass of collapsing material is forcing out the external columns causing the phenomena witnessed on the day.
The columns are now unable to support themselves let alone the rapidly falling mass of collapsing material which is increasing in velocity with every storey which fails and is tearing the columns apart as the floors pull the external columns inward and the falling material pushes them outward.
So, unless you accept that without internal floors those towers would never had stood, you will never understand how they collapsed.