WTC 1 inner core construction photo:
 The core of WTC 1 was designed to
support the entire weight of the buildings several times over.Far more than a mere "service core", it
comprised of 47 steel box columns tied together at each floor by steel plates, similar to the 52" deep
spandrel plates that tied the perimeter columns together. The largest of these core columns were 18"x36", with
steel walls 4" thick near the base and tapering in thickness toward the top, and was anchored directly to the
bedrock.
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The lower part of the core was the most solid piece of WTC 1, but
this RealMedia video download shows it comes down several seconds
after the building's collapse:. 
This structural failure cannot be attributed to the fires which were in the building - this
part of the core survived the collapse so it should have remained standing.
 | Firefighter
in the stairwell of WTC 1 during the collapse: "As I turned the corner on the third floor landing the
stairwell erupted into a hurricane. This huge incredible force of wind and debris actually came up the stairs,
knocked my helmet off, knocked me to the ground. |
| It was pitch black, large amounts of dust in the stairwell. So as I was
crawling around to start down the next set of stairs the landings collapsed underneath me so I dropped
pretty much a full floor." WMV video download (959kB) |
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The above interview documents that the core of WTC 1 failed below the third floor. The core of WTC 2
also briefly stood after the building's collapse: 
The collapsing cores are consistent with a
thermite reaction pooling molten iron into the central area of the
WTC basement, this subsequently melted the core columns and caused the structural failures several seconds
later. |