At 5.11 m/s2, an object moves 1.25 m in 0.7 s.
The span from NE to SW is 89 meters.
arctan(1.25/89) = 0.8°
If we assume the tilt pivots about the center of mass of the top 12 floors, 6 floors = 22.6 m above the 98th floor which gave way, then the lower column ends would move laterally by
sin(0.8°) * 22.6 m = 0.32 m = 12.5 inches for you USAsians.
Of course I am aware that at that point, not all columns are necessarily severed yet (it's just as the NE corner is about to descend) and so the building can't rotate freely and the pivot wouldn't be where I assume it to be.
Merely illustrating that this little tilt, that corresponds to a 0.7 s delay in horizontal collapse progression, makes for very substantial lateral shifts and forces - has to.
To pretend that essentially all columns could descend any substantial distance strictly vertically is foolish.
Oystein, you’re on the right track. TS has been Whistling Past the Graveyard (WPG) on this.
The pivot point of the top section however was at the base and center of the top section according to Bazant. Bazant explained what caused the lateral motion of the top section and columns:
[FONT="]The pivoting of the upper part must have started by an asymmetric failure of the columns on one side of building, but already at this very small angle the dynamic horizontal reaction at the base of the upper part must have reduced the vertical load capacity of the remaining columns of the critical floor (even if those were not heated[/FONT][FONT="])[/FONT][FONT="]. That must have started the downward motion of the top part of the South Tower, and afterwards its motion must have become predominantly vertical [/FONT][FONT="]([/FONT][FONT="]Fig. 4). [/FONT]
[FONT="] [/FONT]
[FONT="]You can see a fuller 2D description of this horizontal force at the end of Bazant’s first paper.[/FONT]
[FONT="]
http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/405.pdf[/FONT]
[FONT="] [/FONT]
[FONT="]Calculating the offset of the upper and lower perimeter columns after the first 12 foot drop:[/FONT]
[FONT="] [/FONT]
[FONT="]For time between collapse of southwest corner to northwest corner of 0.7 sec.[/FONT]
[FONT="]For time between collapse of southwest corner to center of top section pivot = 0.35 sec.[/FONT]
[FONT="]For distance southwest corner dropped in 0.7 sec. at .64 FFA = 5.1 feet.[/FONT]
[FONT="]For distance center pivot halfway though initial collapse dropped in 0.35 sec. at .64 FFA = 1.3 feet.[/FONT]
[FONT="]For time it took for southwest corner to drop 12 feet at .64 FFA = 1.08 sec.[/FONT]
[FONT="]For distance the center pivot dropped in 0.73 sec (1.08 -0.35 sec) at .64 FFA = 5.8 feet.[/FONT]
[FONT="]For net distance drop from center pivot to 12 foot perimeter drop = (12-5.8 feet) 6.2 feet[/FONT]
[FONT="]For distance 103 feet from the tilt pivot and net drop of 6.2 feet the tilt angle at the 12 foot floor to floor drop is 3.4 deg.[/FONT]
[FONT="]For a 3.4 deg. tilt and a 12 foot drop the horizontal displacement = 8.6 inches.[/FONT]
[FONT="] [/FONT]
[FONT="]Since the perimeter columns were 14” x 14” x 0.25” (14 sq. inches) , at most at the first story drop the column cross sectional area impacted was 2.7 sq. inches or 19%.[/FONT]
[FONT="] [/FONT]
[FONT="]This doesn’t account for the tilt observed in the other direction, or the required simultaneous and axial impact of all the surface column areas required to produce the expected jolt.[/FONT]
[FONT="]
[/FONT]
[FONT="]From Bazant’s first paper:[/FONT]
[FONT="]For our purpose, we may assume that all the impact forces go[/FONT]
[FONT="]into the columns and are distributed among them equally. Un-[/FONT]
[FONT="]likely though such a distribution may be, it is nevertheless the[/FONT]
[FONT="]most optimistic hypothesis to make because the resistance of the[/FONT]
[FONT="]building to the impact is, for such a distribution, the highest.[/FONT]
[FONT="] [/FONT]
[FONT="]The tilt at WTC1 produced greater forces to the columns south of the pivot and reduced the forces north of the pivot, at the northwest corner where the jolt measurements were taken. [/FONT]
[FONT="] [/FONT]
[FONT="]W.D.Clinger also proved the existence of mini jolts in TS’ data.[/FONT]
[FONT="]
http://www.internationalskeptics.com/forums/showthread.php?t=140639&page=38[/FONT]
[FONT="]
http://www.internationalskeptics.com/forums/showthread.php?p=5544701#post5544701[/FONT]
[FONT="] [/FONT]
……………..
How would the lower structure be compromised to the point where it could no longer support the load above it?
There is a big difference between core led vs. perimeter led collapse and it is important to get it right. It isn't very hard, as only core led is possible and it then explains inward bowing and buckling of the perimeter due to its pull-in by the core through the floors.
NIST needs to redo the analysis to show core led collapse and also explain how the horizontal propagation across the entire building could occur in less than a second.
[FONT="]TS still pretends that there is no explanation for the horizontal propagation across the entire building. It’s the asymmetric failure of the columns on one side of the building as explained by Bazant in his link above:[/FONT]
[FONT="]I've said this numerous times:
[/FONT]
[FONT="]October 2009[/FONT]
[FONT="]
http://www.internationalskeptics.com/forums/showthread.php?postid=5191721#post5191721[/FONT]
[FONT="]May 2010[/FONT]
[FONT="]
http://www.internationalskeptics.com/forums/showthread.php?postid=5929084#post5929084[/FONT]
[FONT="]August 2012[/FONT]
[FONT="]
http://www.internationalskeptics.com/forums/showthread.php?postid=8525228#post8525228[/FONT]
[FONT="]April 2015[/FONT]
[FONT="]
http://www.internationalskeptics.com/forums/showthread.php?postid=10615877#post10615877[/FONT]
[FONT="]And so on. [/FONT]
[FONT="] [/FONT]
[FONT="]The first time one is wrong it’s a mistake, thereafter when one continues asserting this mistake, it’s a lie. TS has never stopped repeating this no explanation for the "[/FONT][FONT="]horizontal propagation across the entire building" lie.[/FONT]
TS’ MJ hypothesis is wrong. Will this rational evidence convince TS to retract his MJ hypothesis?
Of course not!