Jazz, how about page 202 of the report that BTL linked to:
On page 204:
So from the modelling, it seems that the core columns were severely damaged within the first few instants of impact.
Core Damage
The core had significant damage in the region close to the impact point. The columns in line with the aircraft fuselage failed on the impact side, and several of the core beams were also severely damaged or failed in the impact zone. The calculated damage to the core of WTC 1 consisted of three severed columns and four heavily damaged columns.
On page 204:
Core Damage
In the base case WTC 2 impact damage analysis, significant damage to the core was calculated in the region close to the impact point (the southeast corner of the core). The columns in line with the aircraft fuselage failed on the impact side of the tower, and several of the core beams were also severely damaged or failed in the impact zone. In some cases, failure of the column splices located on floors 77, 80 and 83 contributed significantly to the failure of the core columns. This was particularly true for the heavy column number 1001 at the southeast corner of the core that failed at three splice locations. A total of five columns were severed and four columns were heavily damaged
So from the modelling, it seems that the core columns were severely damaged within the first few instants of impact.