Let's make this nice and clear.
There is a falling mass, which we can call M1. Your claim is that the falling mass will become entangled with the lower structure, and friction will arrest its fall without bringing about column failures in the lower structure. You also claim to have proved this in your papers.
For the falling mass to be arrested, the force due to entanglement and friction, which we can call F1, must be greater than M1g. For the friction and entaglement forces not to bring about column failures in the lower structure, then the product of the critical strain S and the total column area A must be greater than F1. Therefore, using these definitions, your claim is that you have proven the inequalities:
A*S > F1 > M1g
for all possible physical systems.
Please present either a valid proof of these inequalities, for all possible systems or specifically for the WTC towers, or a link to such a proof. Anything else posted by you in this thread will constitute an admission that your claim is a lie.
Dave
Let's have a falling mass dropping on something. What happens at impact? Well, many things may occur! I am not lying, BTW. Just read carefully.
1. The dropping mass may bounce on something. It happens often. I have explained why earlier. Rubber ball dropping on floor.
2. The dropping mass may get damaged on something. It also happens often. I have described that, too. Crystal glass dropping om marble table top.
3. The dropping mass may damage something. It also happens. The solid steel sphere dropping on the floor.
You agree, so far? Good. NIST and Bazant forget to consider 1) and 2) and I wonder why. Haven't they heard of Newton's third law?
Let's consider 3.
The dropping mass initially just damages something
at the point of contact. The rest of something remains intact. It is quite obvious, n'est pas?
So what is the point of contact in WTC1? Is it 280+ points of contact - the upper columns hitting the lower columns? According Bazant, it is.
I have explained that, too. The upper columns, will miss or slip off the lower columns. So we have a fourth possibility.
4. At impact the dropping mass slips off the impacted body.
Back to 3.
3. The dropping mass may damage something.
So what is it damaging? A lower column! OK, the lower columns is then elastically compressed, it is overloaded and plastically deformed and fails - buckles. What happens then? Does the dropping mass slip off (alternative 4. above)? Probably.
But the dropping mass may then contact something else. We are back to alternative 3. with a difference - else is added to something. Thus
5. At impact the dropping mass may contact something else.
And else is not another column that makes up only 0.13% of the impact area.
So what happens then? Well, it might be 1, 2 or 4, of course, but also 3. But at every 3) energy is consumed and less and less destruction will follow. Collapse arrest has started and will soon be arrived at. A new equilibrium will be achieved.
Back to the question. Is A*S > F
1 > M
1g ?
Of course it is. A*S is the total load/force (N) that the Tower can carry. M
1g is the original force of the upper block on the intact lower structure before impact. As shown in my paper M
1g = 0.3 A*S < A*S. See
http://heiwaco.tripod.com.nist0.htm#3 .
F
1 is evidently = M
1g .
Thanks for asking a polite question to a person you accuse of lying.