Right, WTC Weight
Right Jazz, lets start holding your latest reply up to the cold light of scrutiny and see how it fares.
The first issue I want to look at is the weight of the towers. If we search for published values of the mass of WTC 1 or 2, the number quoted is often close to 500,000,000 kg or 500,000 tonnes. Some US sources quote tons rather than tonnes, however as 1 ton = 1.016 tonnes the difference is not particularly relevant.
But where does this number come from?
It's certainly quoted frequently; the University of Sydney piece which I linked to several posts ago says:
Since the mass of the combined towers is close to 1000000 tons, finding evidence will be an enormous task.
I have never seen a detailed calculation of the mass of WTC 1 or 2, although the design engineers would undoubtedly have made such calculations. There are plenty of references on the web for the weight of the materials used in the construction of the WTC Towers. For example, the weight of structural steel used in each Tower is generally reported to be 96,000,000 kg and the weight of concrete is said to be 48,000,000 kg per Tower. I have also seen the weight of aluminum cladding reported to be 2,000,000 kg, and the weight of wallboard quoted at 8,000,000 kg per Tower, giving a total weight of structural materials of 154,000,000 kg per Tower.
Now let’s add in reasonable “guesstimates” for plumbing fixtures (5,000,000, kg), air conditioning (5,000,000 kg), electrical and telecommunication wiring (5,000,000 kg) and we have an additional 15,000,000 kg of structural mass that civil engineers always include as part of the “dead load” of a building. Thus combining all these contributions, we arrive at a weight, or dead load, of 169,000,000 kg for one WTC Tower. Surprisingly this accounts for only about 1/3rd of the oft-quoted 500,000,000 kg, so where is the missing mass?
The answer would appear to be in what we call the live load of the building, which in the case of one WTC Tower would have to be (500,000,000 - 169,000,000) kg or 331,000,000 kg, i.e., twice the dead load! We will show that this result leads to major problems …..
But first, let’s convert our load data in to more familiar engineering units based on floor areas. Building regulations usually express loads in kilograms per square meter (kg/m^2) or Newtons. For example, the specification for a high live load capacity floor is typically about 750 kg/m^2.
From the dimensions of a WTC Tower we estimate the available floor area per Tower was about 320,000 square metres. Hence, the live load was 331,000,000 kg divided by 320,000 m^2 which is equal to 1034 kg/m^2. We see from the live load example given in the previous paragraph represents a very high live loading. But let’s look at just how high this load is…..
If the live loading within one WTC Tower really was 331,000,000 kg (more or less), that equals 3,009,091 kg per floor or about 3000 tonnes per floor!! If we say that each WTC Tower employed about 15,000 people so we have an average of 136 people per floor. This means that each person working in the Twin Towers contributed about 22 tonnes of live load!!! That's an awful lot of office furniture, computers, printers, telephones..... or am I missing something?
Now if we look on the web, we find the following weights for other tall buildings - note, in passing, that these employed pro-rata heavier traditional structures than WTC:
Empire State Building, NYC = 365,000,000 kg
Woolworth Building, NYC = 223,000,000 kg
John Hancock Tower, Chicago = 174,500,000 kg
By now, Jazz, you will be wondering why I'm pointing this out. There are three reasons:
1. To show you why it is inappropriate to simply take a figure from the web and, with absolutely no understanding of building structures, simply take it as read. It is important to look at the figure, consider it critically, and come to a educated view on its likely accuracy.
2. To demonstrate why "gut reactions" or "common sense" views are a particularly poor way to approach any technical issue, never mind one as complex as the structural design of some of the tallest buildings in the world.
3. To show that even if we accept the 500,000 tonnes as a working figure this is going to represent the entire of each tower above foundation level; outer skin, floors, floor loadings, inner core, and any rooftop structures.
You'll see where this is going in a minute.