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Originally posted by DrinkYourDrug
Free petrol saving tips (from NIST):
-Look for a large mass on the side of a highway.
-Collide with the large mass hard enough that it gets stuck to your car.
-Congratulations, you now have extra momentum.
-Turn off engine and repeat for duration of journey.
After distance x, increase in velocity is vx.
That is an incorrect analogy. A car on the highway is not powered by the force of gravity. Instead you have to use engine power to increase momentum, costing additional energy.
Originally posted by DrinkYourDrug
reply to post by -PLB-
After distance x, increase in velocity is vx.
What is v? Some sort of non-linear function? Or has there been a mix-up with time and distance?
Whatever it is is also besides the point because any increase in velocity is due to gravity. You can't then perform an equation involving additional mass and claim this is what caused the momentum increase...
Originally posted by DrinkYourDrug
Substitute engine power for gravity then read what I have been saying the whole time. Engine power (gravity ) is responsible for increasing momentum, not additional mass.
In my opinion you are paying a game of semantics.
NIST didn't say that the additional mass was responsible, they said it was "due to".
but you agree that momentum indeed increased more because there was more mass
Originally posted by DrinkYourDrug
And you are saying v_x is a standard variable, not a non-linear function?
Not out of this world, it is rather simple physics.
And you can create an equation involving additional mass that represents increase in momentum. In fact, I just did.
Acceleration as result of gravity is a given constant.
In situation two the momentum is larger than in situation one after a fall of distance x.
We seem to agree on the actual physics, so thats good.
Lets just leave it at that.
Originally posted by DrinkYourDrug
As a result of a net downwards force accelerating the mass. It is the increase in velocity, NOT the increase in mass which causes an increase in momentum.
Originally posted by DrinkYourDrug
reply to post by wmd_2008
The majority of energy went into destroying a lot more than just angles and bolts. This would be of no relevance.
Originally posted by ANOK
I know what 'initiation' means thank you, you seem to be confused about what a 'pancake collapse' actually is, and what NIST says.
You claimed NIST rejected 'pancake collapse' as the initiator of the collapse, which is illogical nonsense because 'pancake collapse' is the result of collapse initiation, not something that initiates a collapse. NIST rejected the hypothesis that the collapse, after initiation, was a pancake collapse and instead ONLY covered the collapse initiation, choosing to ignore the actual collapse.
Pancake collapse was never anything to do with what initiated the collapse. The only people still claiming pancake collapse are you lot, against all known physics that shows pancake collapse did not happen.
The truss failure theory, a key ingredient of the better known floor pancake theory, was endorsed by FEMA in its 2002 World Trade Center Building Performance Study . It invites us to imagine the floors assemblies detaching from their connections to the columns of the core and perimeter walls, precipitating a chain reaction of floors falling on one another. Without the lateral support of the floors, the columns, FEMA tells us, buckled and precipitated total building collapse.
As the temperature of floor slabs and support framing increases, these elements can lose rigidity and sag into catenary action. As catenary action progresses, horizontal framing elements and floor slabs become tensile elements, which can cause failure of end connections (Figure 2-21) and allow supported floors to collapse onto the floors below. The presence of large amounts of debris on some floors of WTC 1 would have made them even more susceptible to this behavior. In addition to overloading the floors below, and potentially resulting in a pancake-type collapse of successive floors, local floor collapse would also immediately increase the laterally unsupported length of columns, permitting buckling to begin. As indicated in Appendix B, the propensity of exterior columns to buckle would have been governed by the relatively weak bolted column splices between the vertically stacked prefabricated exterior wall units. This effect would be even more likely to occur in a fire that involves several adjacent floor levels simultaneously, because the columns could effectively lose lateral support over several stories (Figure 2-22).
...........................
Construction of WTC 1 resulted in the storage of more than 4 x 1011 joules of potential energy over the 1,368-foot height of the structure. Of this, approximately 8 x 109 joules of potential energy were stored in the upper part of the structure, above the impact floors, relative to the lowest point of impact. Once collapse initiated, much of this potential energy was rapidly converted into kinetic energy. As the large mass of the collapsing floors above accelerated and impacted on the floors below, it caused an immediate progressive series of floor failures, punching each in turn onto the floor below, accelerating as the sequence progressed. As the floors collapsed, this left tall freestanding portions of the exterior wall and possibly central core columns. As the unsupported height of these freestanding exterior wall elements increased, they buckled at the bolted column splice connections, and also collapsed. Perimeter walls of the building seem to have peeled off and fallen directly away from the building face, while portions of the core fell in a somewhat random manner. The perimeter walls broke apart at the bolted connections, allowing individual prefabricated units that formed the wall or, in some cases, large assemblies of these units to fall to the street and onto neighboring buildings below.
www.fema.gov...
NIST’s findings do not support the “pancake theory” of collapse, which is premised on a progressive failure of the floor systems in the WTC towers (the composite floor system—that connected the core columns and the perimeter columns—consisted of a grid of steel “trusses” integrated with a concrete slab; see diagram below). Instead, the NIST investigation showed conclusively that the failure of the inwardly bowed perimeter columns initiated collapse and that the occurrence of this inward bowing required the sagging floors to remain connected to the columns and pull the columns inwards. Thus, the floors did not fail progressively to cause a pancaking phenomenon.
As the temperature of floor slabs and support framing increases, these elements can lose rigidity and sag into catenary action. As catenary action progresses, horizontal framing elements and floor slabs become tensile elements, which can cause failure of end connections (Figure 2-21) and allow supported floors to collapse onto the floors below. The presence of large amounts of debris on some floors of WTC 1 would have made them even more susceptible to this behavior. In addition to overloading the floors below, and potentially resulting in a pancake-type collapse of successive floors, local floor collapse would also immediately increase the laterally unsupported length of columns, permitting buckling to begin.
Instead, the NIST investigation showed conclusively that the failure of the inwardly bowed perimeter columns initiated collapse and that the occurrence of this inward bowing required the sagging floors to remain connected to the columns and pull the columns inwards.
I would say it is both increase in velocity and increase in mass.
If the increase in velocity (vx) would have been the same in situation 1 and situation 2, you still have increase in momentum.
Momentum is directly related to mass.
But what does it all matter?
You agree that in the scenario where mass is added, the momentum is larger after distance x, despite of what wording you use or how you call it, right? And that is what is relevant.
Well since the bulk of the falling mass would hit the floor slab it is relevant, and if the floor slab fails that would cause problems for the stability of the walls.
Also if we know a ballpark figure of what a connection could hold we know the number of connections we can work out what a floor could hold.
So do you have any idea of the top of your head what load a 5/8" bolt would take before failure?
As a structural engineer you will have easy access (or should) to such data so quote everyone some figures I mean what harm could that do.
You agree that momentum is higher when mass is added
You just disagree with the exact wording, not with the end conclusion.
It is a bit like saying "He died because he was hit by a car" and then you coming along saying "No you are deceiving everyone, he died because internal organs failed".