A. Layman's terms. Energy (Nm) is just Force (N) displacing a Distance (m).
I probably would have defined it in more mathematical terms to be precise (like talking about work and force and potential/kinetic energy and their respective definitions) but I'll let it stand as is cause I'm really not trying to nitpick here....
C. Yes, the forces (!) are transmitted through both structures C and A. If anything breaks you have to consider it; the force will be transmitted somewhere else.
I think this is where you go wrong...I don't think you are correctly considering "if anything breaks".....
If something "breaks" I would assume the force would not only break it but also "push" (i.e. accelerate) the piece it "broke". We can get nitpicky here about how much of the force goes into "breaking" the piece, accelerating it, heating it up, producing sound waves, etc...
But I think (hope) you see my point....you don't seem to be taking the "breaking" aspect into account here...
D. Correct. Same applies to C and the forces A applies on C.
Sure...but keep in mind that one section (C) is falling due to gravity while the other section (A) is not. This is very significant.
E. Hm! Mackey assumes part C is only one material point M and forgets that C is an assembly of material points/elements/connections.
Could you show me where Mackey assumes this? So far I haven't noticed any conceptual or mathematical errors in anything I have seen from Mackey...
F. No! How can you suggest that? A is similar to C - just bigger and stronger! Remember A carried C before impact. C could never carry A..
I am hesitant to use the word "stronger" since it seems too "loose" of a term...by "loose" I mean inexact.
I agree that the structure "C" could not "carry" the structure "A", but I fail to see how that implies that C could not destroy A while it is falling and impacting A.....
G. A will suffer local failures like C. Plenty of energy applied is absorbed that way.
I agree that C will suffer some local failures as well.....but C is no longer connected to the ground and is falling through the air...
I would think some of the energy would also be absorbed by breaking parts of A and pushing them down....
H. ??? Unclear. Very unclear. Do you suggest that C knocks off a piece of A and that this piece of A starts to destroy the remainder of A. Please clarify.
I'm suggesting that the pieces that get knocked off start accelerating due to gravity (and possibly due to the 'push' from C when they were broken off) and add to the destructive force of C....
So it's a progressive collapse....progressive destruction....
I. Free? C is in contact with A and A is in contact with C. It is similar to intercourse ... or wrestling.
I believe I clarified what I meant when I wrote "free"...
1. Not structurally connected
2. In free fall due to gravity
J. Whatever. A and C apply forces on one another.
Sure they do.....but to repeat what I said (and this is relevant to my previous comment)....
"Just because A exerts some force on C as C destroys parts of A doesn't mean that we can say that C is now structurally connected to A."
K. Of course. C could not drop on A or ground without gravity. Ground!! What would happen if C missed A and dropped on ground? Wouldn't C get damaged? Or would C one-way crush down ground? Actually, when C impacts A, C impacts ground as A is connected to ground.
I never implied that C doesn't get damaged during the collapse....
L. Just check JREF! I have demonstrated many cases/structures; pizza boxes, lemons, rubber balls, ships, sponges, &c.
WHAT THE HELL?
WHAT THE F*&^ DID YOU JUST SAY?
PIZZA BOXES? LEMONS? RUBBER BALLS? SHIPS? SPONGES?
You "demonstrated" that pizza boxes, lemons, rubber balls, or sponges can't fall due to a progressive collapse after being hit with an airliner and catching on fire?
Really? Cmon man......the structures you use for an engineering anaylsis and comparison are cardboard and fruit? Are you freaking serious?
It's good to know that if I'm ever in a building made out of lemons or pizza boxes that I am safe from a progressive collapse...
M. None! WTC 1, 2 and 7 were all destroyed by controlled demolitions.
None is right...
You used fruit and cardboard.....
N. Of course. My paper debunking Bazant is, I am told (by ASCE + editor Ross Corotis), getting published in ASCE Journal of Engineering Mechanics soon.
O. See N.
I will be interested to see what responses it receives....
Thanks for your post. It seems you have missed a lot, e.g. that a part C of a structure A cannot one-way crush down A (C = 1/10 A) under any circumstances. So the 911 WTC destructions could not have been produced by an upper part (C) dropping on a lower part (A) connected to ground.
Well I have to admit...I was unconvinced of your conclusions until you mentioned the lemons....
One can't refute a structural analysis using fruit....