I'm not a structural engineer but IMHO the collapse of WTC7 as portrayed in the video cannot be explained by the failure of one column.
I'm not a structural engineer either but I can guess why intuition built from the breakage of objects on a scale of several feet, as we more typically encounter, cannot apply to the demolition of a skyscraper.
First, the entire column of the skyscraper should have a lot of inertia -- why would it tip horizontally in one direction or another without a significant continued force to do so?
You're probably underestimating the cohesion of the floors, one to another. Maybe they're not like layers of cake balanced on toothpicks. Just a few internal structures connecting the floors (like concrete staircases?) make a vertical crumbling fall seem much more reasonable.
An impact that is strong enough to break a hole in an exterior wall doesn't just affect that wall, presumably the whole building would be agitated, shaking and wobbling at various sonic and supersonic frequencies. (Thunder during a storm is enough to cause my house to resonate and rattle the mirrors on my wall.)
I'm not saying that I would have predicted that the building would fall vertically rather than tip over. I'm just saying that I would expect that the fall of an enormous building with lots of external and internal structure to be more complex than my intuition could accommodate.
If I was worried about there being a conspiracy, and it was because the fall of this building was nagging at me, what I would do -- because I know from experience this is what I do when I worry -- is I would go to youtube and google "building collapse" and see if buildings typically fall in ways that I expect, and if there's a lot of variation, etc. I would see if after watching a few buildings collapse at that scale, if my brain could extract enough information to really feel comfortable one way or another about the likelihood of identifying a 'false' collapse..
(Seeing what structural engineers have to say about it is not the first thing I would do, because I expect demolition models are like climate models -- you have enough free parameters and undetermined assumptions to get out anything.)
When I first started back to school in 2006, I was studying Engineering. I was in a materials class when they did strength testing of various materials. I remember the noise that the breaking I-Beam made when it snapped. It did not just go "Ping" like many people think, but rather sounded like a combination of an explosion and a breaking mirror (a BIG mirror).
We had a short discussion at this point about 9/11 and the reported "explosions" hear within the building. The professor asked what those noises might have been (nodding at the tin...
Date: September 11th, 2001.
Personnel: Unknown [designate A], Unknown [designate B], Unknown [designate C].
A: It's done. The plane targeted at Congress was crashed by those on-board, but the Pentagon and Trade Center attacks occurred just as scheduled.
B: Congress seems sufficiently angry in any case. I don't think the further steps of the plan will meet with any opposition. We should gain the governmental powers we need, and the stock market should move as expected.
A: Good. Have you prepared the conspiracy theorists to accuse us?
B: Yes. All is in readiness. The first accusations will fly within the hour.
C: Er...
A: What is it?
C: Sorry, I know I'm a bit new to this sort of thing, but why are we sponsoring conspiracy theorists? Aren't they our arch-nemeses, tenaciously hunting down and exposing our lies?
A: No, my young apprentice, just the opposite. As soon as you pull off a conspiracy, the first thing you do is start a conspiracy theory about it. Day one.
C: What? We want to be accused of deliberately ignoring intelligence and assassinating that one agent who tried to forward specific information -
A: No, of course not! What you do in a case like this is start an accusation so ridiculous that nobody else wants to be associated with the accusers. You create a low-prestige conspiracy theory and staff it with as many vocal lunatics as you can. That way no one wants to be seen as affiliating with the conspiracy theorists by making a similar accusation.
C: That works? I know I'm not the brightest fish in the barrel - sometimes, hanging around you guys, I feel almost as dumb as I pretend to be - but even I know that "The world's stupidest man may say the sun is shining, but that doesn't make it dark out."
B: Works like a charm, in my experience. Like that business with the Section Magenta aircraft. All you need is a bunch of lunatics screaming about aliens and no one respectable will dream of reporting a "flying saucer" after that.
C: So what did you plan for the 9/11 cover conspiracy theory, by the way? Are the conspiracy theorists going to say the Jews were behind it? Can't get much lower-prestige than anti-Semitism!
B: You've got the right general idea, but you're not thinking creatively enough. Israel does have a clear motive here - even though they weren't in fact behind it - and if the conspiracy theorists cast a wide enough net, they're bound to turn up a handful of facts that seem to support their theory. The public doesn't understand how to discount that sort of "evidence", though, so they might actually be convinced.
C: So... the Illuminati planned the whole operation?
B: You know, for someone who reads as much science fiction as you do, you sure don't think outside the box.
C: ...okay, seriously, man. I don't see how a theory could get any more ridiculous than that and still acquire followers.
(A and B crack up laughing.)
B: Hah! What would you have done to cover up the Section Magenta aircraft, I wonder? Blamed it on Russia? To this day there are still people on the lookout for hidden aliens who overfly populated areas in gigantic non-nanotechnological aircraft with their lights on.
A: So what did we pick for the 9/11 cover conspiracy, by the way?
B: Hm? Oh, the World Trade Center wasn't brought down by planes crashing into it. It was pre-planted explosives.
C: You're kidding me.
B: Seriously, that's the cover conspiracy.
C: There are videos already on the Internet of the planes flying into the World Trade Center. It was on live television. There are thousands of witnesses on the ground who saw it with their own eyes -
B: Right, but the conspiracy theory is, the planes wouldn't have done it on their own - it took pre-planted explosives too.
C: No one is going to buy that. I don't care who you bought out in the conspiracy-theoretic community. This attack would've had the same political effect whether the buildings came down entirely or just the top floors burned. It's not like we spent a lot of time worrying about at what angle the planes would hit the building. The whole point was to keep our hands clean! That's why the al Qaeda plot was such a godsend compared to the original anthrax plan. All we had to do was let it happen. Once we arranged for the attack to go through, we were done, we had no conceivable motive to risk exposure by planting explosives on top of that -
B: Don't take this the wrong way. But one, you don't understand conspiracy theorists at all. Two, they bought the aliens, didn't they? And three, it's already online and the usual crowd of anti-establishment types are already snapping it up.
C: Are you joking?
B: Honest to Betsy. People are claiming that the buildings fell too quickly and that the video showed ejecta corresponding to controlled demolitions.
C: Wow. I don't suppose we actually planted some explosives, just to make sure that -
A: Oh, hell no, son. That sort of thing is never necessary. They'll turn up what looks to them like evidence. They always do.
C: Aren't they going to, um, suspect they're pawns?
A: Human nature 101. Once they've staked their identity on being part of the defiant elect who know the Hidden Truth, there's no way it'll occur to them that they're our catspaws.
B: One reason our fine fraternity has controlled the world for hundreds of years is that we've managed to make "conspiracy theories" look stupid. You know how often you've ever heard someone suggest that possibility? None. You know why? Because it would be a conspiracy theory.
A: Not to mention that the story would be too recursive to catch on. To conceal the truth, one need only make the reality complicated enough to exceed the stack depth of the average newspaper reader.
B: And I've saved the dessert for last.
C: Really?
B: Yeah. You can go totally overboard with these guys. They never notice and they never suspect they're being used.
C: Hit me.
B: We've arranged for them to be called "truthers".
I hereby dub any believers in this theory 9/11 meta-truthers.
I, Eliezer Yudkowsky, do now publicly announce that I am not planning to commit suicide, at any time ever, but particularly not in the next couple of weeks; and moreover, I don't take this possibility seriously myself at the moment, so you would merely be drawing attention to yourselves by assassinating me. However, I also hereby vow that if the Singularity Institute happens to receive donations from any sources totaling at least $3M in 2010, I will take down this post and never publicly speak of the subject again; and if anyone asks, I'll tell them honestly that it was probably a coincidence.