Read the Adendum to Bazant's 2002 paper.
I have. It doesn't say that. Looks like you lied again, chum.
You will find the axial spring constant or stiffness of the columns in the towers calculated in Appendix C of the Missing Jolt paper. Why haven't you noticed that? The energy of deformation estimate we make in the paper in Appendix D is based on the elastic deformation, the plastic deformation, and the classes of the columns and their ability to sustain a plastic moment in buckling. If you think it is inaccurate please show why. Don't just make a claim that it is higher than others have estimated.
Thanks for clarifying that. Now that I know what you did, I am absolutely certain your calculation is complete idiocy. You are calculating the spring constant of the
entire 110-story stack, assuming "average dimensions" at the 55th story, to compute a single overall spring constant -- and then applying that constant at the impact floors.
Nonsense. The actual behavior will be of a series of coupled springs, where the spring constant varies radically with height. At the collapse zone, the 97th and 98th floors, the actual spring constant will be considerably lower, as the steel is considerably thinner.
As a result, you grossly overestimated the absorption by structure, and you did so because you applied a totally inane method of estimation. Fail, Tony.
However unlikely your scenario of no observable jolt being necessary, your sceario is still shown to be non-explanatory due to the lack of velocity loss necessitated due to the kinetic energy losses needed by the energy of deformation.
So you still fail to recognize that the collapse is smooth, and there's no "jolt."
Figures.
If you noticed at the bottom of page 10 we state
"It should also be noted that the energy losses and conservation of momentum we have calculated and used here, to determine the velocity loss, are a minimum. We do not consider energy losses due to vibration of the building, heat, and sound, during the initiating impulse, all of which would have required energy from the impulse to produce and thus have an additional effect on velocity loss.
This would also apply to your theoretical multitude of smaller impulses. The fact that 76% of the energy of the upper block is drained by just the deformation of the columns on either side of the first two colliding floors implies that had the other significant energy sinks been considered, the total would most probably show the collapse would arrest.
So, in other words, you can't calculate that the collapse would arrest, even by artificially inflating your energy sinks, but it's "only" 24% so you just handwave it away as trivial.
That's called
Destroying the Exception, Tony. Classic fallacy.
Mackey, you really need to at least attempt show some figures and calculations to back up what you are claiming. Your position has no credibility without it.
There are, once again, a multitude of published and accepted papers that demonstrate it. I don't need to rederive these papers to prove you're wrong. The burden of proof is on your side, and all I'm getting from you is double-talk.
I am talking about 300% stronger than the static load at just yield. You won't even be anywhere near 3% strain at yield. The load needed to get to 3% strain is significantly higher than 300% of the static load.
You write the above, and then you write this..?
You are really confused. Or is it just that you want to confuse things here?
What do you think "yield" means, Tony? That's the highest stress that member will ever see. At yield it deforms. So you're saying "the load needed to get to 3% strain is significantly higher than 300% of the static load" -- so the structure had
more than a safety factor of 3 built in?
Who's confused, again?
Also irrelevant. Again, what
you wrote was you trying to apply the static strength over an entire range of motion. That's cherry-picking. You're applying the maximum strength, as-built, and then assuming that it won't weaken at all even after it buckles, even after it snaps, all the way to the ground. Complete lunacy.
Mackey, if you feel this strongly about this write a rebuttal to the paper to which I can respond. I am done talking to you about it until you do so. Show your numbers in a full discussion.
Emphasis added. Originally I laughed at this, but then I realized that if I read the above literally, you're in fact saying that you
can't respond to my rebuttals, and you're going quiet until I dumb it down enough that you can...
So, to recap:
- You lied about the tilting of the upper block
- You lied about saying that it wasn't tilted
- You claimed the tilt was not "germane" and focused on energy absorption
- You lie and say Dr. Bazant also says that without a "jolt" the collapse could not occur "naturally," viz. without explosives
- You suggest that the static strength of the lower structure can be multiplied by the distance of collapse to get the true energy absorption
- You call attention to your whitepaper, in which the above is not claimed, but instead you treat the columns as uniform springs, thereby vastly overestimating the energy sink on the collapse floors
- You whine about me producing numbers, ignorant of the fact that you are indeed challenging a published, quantified result
ETA: Oh, one more I forgot:
- When backed against the wall, you suggest that I am "wittingly" part of the coverup
You're not doing well, Tony. Even you must realize this.