“DECEPTION = MOST POWERFUL ” Since: Jul 11 11,194 POLITICAL FORCE ON THE PLANET 
#4439
May 12, 2013
D dt (Z z(t) 0 μ(S)s˙(S)dS ) − g Z z(t) 0 μ(S)dS = − Fc(z, z˙)(1) 3 where t = time, z = vertical (Lagrangian) coordinate = distance of the current crushing front from the initial position of the tower top; the superior dots denote time derivatives; μ(S)= initial specific mass of tower (mass of a story divided by its height) at point of initial coordinate S; s˙(S)= velocity of material point with initial coordinate S. It will suffice to consider the velocity, as well as the momentum density, to be distributed throughout the compacted layer linearly. With these approximations, the crushdown differential equation of motion becomes: d dt ( m0[1 − (z)] dz
dt + μcl 2 [2 − (z)] dz dt ) − m(z)g = −Fc(z, z˙)(crushdown)(2) while the crushup differential equation of motion has the same form as Eq. 17 of Bazant and Verdure (2007): m(y)( d dt " [1 − (y)] dy dt #+ g )= Fc(y, y˙)(crushup)(3) Here Eq.(2) represents a refinement of Eq. 12 of Bazant and Verdure (2007), while Eq.(3) is identical to their Eq. 17 because the compacted layer is stationary during crushup. Furthermore, l = height of compacted layer B, μc = specific mass of compacted layer B per unit height, which is considered to be constant and equal to the maximum possible density of compacted debris; m(z)= cumulative mass of the tower above level z of the crushing front (m(z)= m0 + μcl); and Fc = resisting force = energy dissipation per unit height; Fc(z, z˙)= Fb + Fs + Fa + Fe, Fb = Wd/(1 − )h (4) where Wd(z)= total energy dissipation up to level z, which was assumed by Bazant and Verdure (2007) to consist only of energy Fb (per unit height) consumed by buckling of steel columns. In calculations, the large fluctuations of Fb as a function of z or y (evident in Figs. 3 and 4 of Baˇzant and Verdure, 2007) are neglected, i.e., Fb is smoothly homogenized. As a refinement of previous analysis, we introduce here a generalization in which we add energy Fs (per unit height) consumed by continuated bifurcation of concrete floor slabs, energy Fa required to expel air from the tower, and energy Fe required to accelerate the mass of dust and larger fragments Ejected from the tower during the impact of upper part; Furthermore, in contrast to previous studies, the compaction ratio will not be assumed as a constant but will be more accurately calculated as (z)=(1− out)	 56;(z)/μc, and out = mass shedding fraction = fraction of mass that escapes outside tower perimeter before the end of crushdown (not afterwards). Note that Eq.(2) may be rewritten as Plethora of Prolific Paid Professionals Parroting Puppetmaster Program Purporting Prepared Pronouncement of Perfunctorily Planted Plane Pieces and Parts Positively Proven Propaganda Paints a Picture of [m0(1− )+μc l(1−0.5 )]z¨W 22;mg = −Fm& #8722;Fc, Fm =[m0(1− )+μ cl(1−0.5 )]˙ ; z˙ = &# 956;¯z& #729;2 (5) where Fm = force required to accelerate to velocity z˙ the stationary mass accreting at the crushing front, and ¯μ = d[m0(1 − )+ &# 956;cl(1 − 0.5 )]/dz = part of the impacted mass per unit height that remains within the tower perimeter. This force causes a greater difference from free fall than do forces Fb, Fs, Fa and Fe combined. which were then integrated numerically with high accuracy using the RungeKutta algorithm (note that, for the idealized special case of = Fc = out = 0 and constant μ = dm/dz, Eq.(2) reduces to the differential equation (zz˙)˙ = gz, which was formulated and solved by finite differences by Kausel, 2001). As the initial conditions, it is considered that the crushing front initiates at the 96th story in the North Tower, and at the 81st story in the South Tower (NIST 2005). Yeah dat's wat i'm talking bout 
“DECEPTION = MOST POWERFUL ” Since: Jul 11 11,194 POLITICAL FORCE ON THE PLANET 
#4440
May 12, 2013
D dt (Z z(t) 0 μ(S)s˙(S)dS ) − g Z z(t) 0 μ(S)dS = − Fc(z, z˙)(1) 3 where t = time, z = vertical (Lagrangian) coordinate = distance of the current crushing front from the initial position of the tower top; the superior dots denote time derivatives; μ(S)= initial specific mass of tower (mass of a story divided by its height) at point of initial coordinate S; s˙(S)= velocity of material point with initial coordinate S. It will suffice to consider the velocity, as well as the momentum density, to be distributed throughout the compacted layer linearly. With these approximations, the crushdown differential equation of motion becomes: d dt ( m0[1 − (z)] dz
dt + μcl 2 [2 − (z)] dz dt ) − m(z)g = −Fc(z, z˙)(crushdown)(2) while the crushup differential equation of motion has the same form as Eq. 17 of Bazant and Verdure (2007): m(y)( d dt " [1 − (y)] dy dt #+ g )= Fc(y, y˙)(crushup)(3) Here Eq.(2) represents a refinement of Eq. 12 of Bazant and Verdure (2007), while Eq.(3) is identical to their Eq. 17 because the compacted layer is stationary during crushup. Furthermore, l = height of compacted layer B, μc = specific mass of compacted layer B per unit height, which is considered to be constant and equal to the maximum possible density of compacted debris; m(z)= cumulative mass of the tower above level z of the crushing front (m(z)= m0 + μcl); and Fc = resisting force = energy dissipation per unit height; Fc(z, z˙)= Fb + Fs + Fa + Fe, Fb = Wd/(1 − )h (4) where Wd(z)= total energy dissipation up to level z, which was assumed by Bazant and Verdure (2007) to consist only of energy Fb (per unit height) consumed by buckling of steel columns. In calculations, the large fluctuations of Fb as a function of z or y (evident in Figs. 3 and 4 of Baˇzant and Verdure, 2007) are neglected, i.e., Fb is smoothly homogenized. As a refinement of previous analysis, we introduce here a generalization in which we add energy Fs (per unit height) consumed by continuated bifurcation of concrete floor slabs, energy Fa required to expel air from the tower, and energy Fe required to accelerate the mass of dust and larger fragments Ejected from the tower during the impact of upper part; Furthermore, in contrast to previous studies, the compaction ratio will not be assumed as a constant but will be more accurately calculated as (z)=(1− out)	 56;(z)/μc, and out = mass shedding fraction = fraction of mass that escapes outside tower perimeter before the end of crushdown (not afterwards). Note that Eq.(2) may be rewritten as Plethora of Prolific Paid Professionals Parroting Puppetmaster Program Purporting Prepared Pronouncement of Perfunctorily Planted Plane Pieces and Parts Positively Proven Propaganda Paints a Picture of [m0(1− )+μc l(1−0.5 )]z¨W 22;mg = −Fm& #8722;Fc, Fm =[m0(1− )+μ cl(1−0.5 )]˙ ; z˙ = &# 956;¯z& #729;2 (5) where Fm = force required to accelerate to velocity z˙ the stationary mass accreting at the crushing front, and ¯μ = d[m0(1 − )+ &# 956;cl(1 − 0.5 )]/dz. This force causes a greater difference from free fall than do forces Fb, Fs, Fa and Fe combined. Upon setting v = z˙, Eq.(2) or (5) was converted to a system of two nonlinear firstorder differential equations for unknowns v(t) and z(t), which were then integrated numerically with high accuracy using the RungeKutta algorithm (note that, for the idealized special case of = Fc = out = 0 and constant μ = dm/dz, Eq.(2) reduces to the differential equation (zz˙)˙ = gz, which was formulated and solved by finite differences by Kausel, 2001). As the initial conditions, it is considered that the crushing front initiates at the 96th story in the North Tower, and at the 81st story in the South Tower (NIST 2005). Dat's wat I'm talking bout 
“DECEPTION = MOST POWERFUL ” Since: Jul 11 11,194 POLITICAL FORCE ON THE PLANET 
#4441
May 12, 2013
Dat's why dose buildings fell down.
LOL . It wern't magik atall !?!?!? LOL 
Since: Jan 11 288 
#4442
May 12, 2013
maybe you can explian how not a single explosive detonation registered on any seismograph ..... or should we just ignore that little fact

Since: Jan 11 288 
#4443
May 12, 2013
or with another Sock Puppet with a hidden location

Since: Jan 11 288 
#4444
May 12, 2013
everybody with half a brain knows the buildings fell at free fall Speed

Since: May 10 2,100 YOUR MOM'S HOUSE 
#4445
May 12, 2013
And with your Face Please do not reproduce. Really... I mean it...

“DECEPTION = MOST POWERFUL ” Since: Jul 11 11,194 POLITICAL FORCE ON THE PLANET 
#4446
May 12, 2013
Ignore it cause it ain't true!?!?!?!?!? . There was lots of seismograph evidence. The govie interprets the data one way, unbiased scientists interpret it another. . Snot Magik either Huh Eh ! 
Since: Aug 11 33,300 Location hidden 
#4447
May 12, 2013
Nonsense. It would be impossible to do such a demolition. The chunks are expelled by air being squeezed out by the pancaking floors. 
#4448
May 12, 2013
I would have never imagined that pancakes could fart chunks 

“ reality, what a concept” Since: Nov 07 30,663 this one 
#4449
May 12, 2013
Oh come on, you're telling us that you're the only one who hasn't heard the story of your unplanned birth? 
“Twoof, a true act of ignorance” Since: Jun 09 30,657 Edmonton, Canada 
#4450
May 13, 2013
So proxy sock, post the plethora of evidence that must exist which proves free fall=cd. Oh, you don't have evidence. Just some stupid twoofer meme. 
“Twoof, a true act of ignorance” Since: Jun 09 30,657 Edmonton, Canada 
#4451
May 13, 2013
Jeez, why would a building with multifloor fires have smoke coming out of it? HVAC, how the hell does it work! 
“Twoof, a true act of ignorance” Since: Jun 09 30,657 Edmonton, Canada 
#4452
May 13, 2013
Math that's accepted by the vast majority of structural experts all over the world... Math that twoofers can only hope to hand wave away... Math that goes over the little heads of 99.9999% of all twoofers.... Math, how the hell does it work...eh? 
“Twoof, a true act of ignorance” Since: Jun 09 30,657 Edmonton, Canada 
#4453
May 13, 2013
No it isn't. You're so stupid you though sealed elevators sounded good. THAT'S what you're talking about. 
“DECEPTION = MOST POWERFUL ” Since: Jul 11 11,194 POLITICAL FORCE ON THE PLANET 
#4454
May 13, 2013
Whatsamatter pig, you trying desperately to catch up?
. You got some bwunking to do here. Get on it!?!?!? . Let's see you explain your acidic persona via mathematics. . Maybe getcher buddy Bazant to help you. 
“9/11 Twoof = STUPID ” Since: Jun 07 16,788 Manhattan, New York 
#4455
May 13, 2013
WOW ..... just when you think Twoofer Stupidity has hit rock bottom a post like this comes along !?!??!?!?!

#4456
May 13, 2013
LMFAO, One of the new leading intellects is in love with a girl from a Disney show for 13 year old girls.
http://www.topix.com/forum/topstories/TPN4BI7... I think the authorities need to check out his basement and crawlspace. 

“9/11 Twoof = STUPID ” Since: Jun 07 16,788 Manhattan, New York 
#4457
May 13, 2013
That's very disturbing !!!!

#4458
May 13, 2013
Oh my God, Different thread! http://www.topix.com/forum/who/mirandacosgro... And the other one! http://www.topix.com/forum/topstories/TPN4BI7... Where is this guy when you need him! 

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