Nice picture of WTC2 that proves my point 100%. No alignment at all of upper block with lower intact structure.
No, it completely disproves your point. You said it fell OUTSIDE. Stop trying to squirm away and admit that you made a
small goof.
No free fall, no impact columns against columns. What you see on the photo is part of an unusual CD of WTC2. A second later the upper block disintegrates completely ... no load acting on it so you should wonder why! ... and long before it hits the ground. Where did the upper block of WTC2 go? It is supposed to drive the global collapse of the lower structure by falling straight down on it; impacts, crush front, etc.
This is complete B.S. The upper block does not disintegrate. It is heavily damaged, but so is the upper floors of the lower block, imagine! And then it travels inside of the tower and causing more damage to the floors below.
Read my article, the math is not too difficult, it is peer reviewed but have a try to find something wrong. Just copy/paste the erroneous part.
As a test I have hidden one minor error in my article.
From your paper
The major problem is that the authorities suggest that the top part, the upper block of WTC1 with mean density 0.18 tons/m3 above the alleged buckled columns in the initiation zone - no such damaged, buckled, columns have been retrieved from the rubble - drops free fall (!) as a rigid mass and releases potential energy, PE, and then destroys the weak steel structure below due to lack of strain energy, SE, there after an impact between the upper rigid part and the lower non-rigid part, while all videos of the collapse show that the upper block in fact telescopes into itself for 2-4 seconds, while the steel structure below is still intact! WTC2 is similar. The whole upper part of WTC2 tips over and disappears soon after. No free fall or impact occurs ... and cannot occur!
False. The upper block obviously falls at NEAR free-fall, otherwise we wouldn't have seen it fall. You can't say something didn't happen when there's video recording that it did.
Gravity is a force of attraction between any two objects. WTC1 and 2 consisted of many objects and, when WTC1 and 2 were intact and all objects were attached to each other, gravity resulted in compressive stresses in the primary load bearing columns that were <30% of the yield stress as will be shown in 3. below.
Inaccurate. You cannot take the entire cross-section of the tower and the entire load and say all columns were below a certain stress. This is because columns near severed and damaged columns are primary to resolving the loss of nearby strength. Furthermore, this ignores simple concepts such as a cantilever (ONE example) developing after a column is severed/damaged. This will multiply the vertical loads, easily overloading columns.
A floor is not a primary load bearing object. It just transmits its weight to the primary load bearing objects. It will also be clarified in 3. below.
False, the floors are necessary to provide bracing against buckling.
If you cut a primary load bearing vertical column in one location, it cannot transmit any load and the stress in it at the cut becomes zero. If you then cut the same object a bit away, the lose part will evidently drop out and fall down. If it is located in the wall, it is likely it drops down to the ground outside the structure. A core column may fall on a floor or down a lift shaft.
WTF. Obviously there is no stress in a column just above a cut. But the force that used to exist in that column has to be TRANSFERED SOMEWHERE ELSE. And it will not do that in a pure vertical fashion. You cannot understand the simple fact that the vertical forces will apply more than just a compressive force to the structure. This is BASIC statics.
In WTC1 and 2 we are told that 280+ primary load bearing vertical columns simultaneously failed in two locations in an initiation zone ... and disappeared allowing free fall. Fair enough! I do not believe it, because it is a crazy idea, but let's assume it anyway so this article can describe the madness.
Strawman. No one ever said that the columns failed simultaneously. Nor is this implied by the phyiscal evidence. The fact that both towers leaned noticeably during collapse shows that the towers collapsed linearly (roughly) from one side to another. This makes sense from how the tower actually resists core column failures.
Well, if the upper block above the initiation zone was then hanging in a crane and slowly lowered down and placed on the lower structure, the lower structure would evidently carry the upper block ... as before. The columns would again be stressed to <30% yield stress.
WTF? The upper block wasn't lowered, it collapsed. That's the entire point. Dynamic forces are much higher than static forces. That's why we design framing below corridors for 100psf live load, even though they will never expierence that amount of load statically. They will expierence something close to that dynamically.
These are the first six of your paragraphs. They are all complete crap. I'm just going to randomly select a few more.
How is the yield stress of steel affected by heat? In this writer's opinion it is not affected very much at about 500°C. This is confirmed by any fire test - the test chamber and what's in it never collapses due to the heat inside up to 1000°C. The heat inside is normally by kerosene set on fire.
Complete crap. I recommend you do a little research rather than relying on your own "opinion".
The total strain energy our wall and core columns and attached spandrels and floors can absorb is evidently the energy required to first strain them to 100% yield - the elastic strain energy - and second to buckle or rip them apart - the buckle or rupture strain energy. In order to rip a column apart, the stresses in the structure must exceed the rupture/break stress of the steel that is much higher than the yield or buckling stress.
Uneducated in engineering. The column will buckle before 100%, energy is absorbed when the column rotated about a plastic hinge (buckling), and THEN there will be a small amount of energy in rupture. Buckling is not the same rupture strain energy.
Reason why a steel building cannot collapse due to release of potential energy is, in simple terms, that the potential energy will mainly be applied to secondary structure - the floors - that will be overloaded and detached from the primary structure - the columns! The potential energy will then not be applied to the primary structure ... that will remain intact!
The floors are necessary to support the columns, otherwise they will just fall over and outwards (which is what happened) under smallish forces.
You also seem to be of the opinion that the entire upper block should disintegrate. But that doesn't make any sense. If the upper block can disintegrate from the striking the lower block, shouldn't the lower block (made of the same material, same craptacular uniform density measurement that you use) also be able to take damage from the upper block? You can't have it both ways.
Now then, you said something about calculations in your paper. The only thing I saw was inaccurately calculating weight and compressive stresses. Was there something else that I missed?