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This
next paper appeared in the journal JOM, issue 53, December
2001, pp. 8-11. You may read the article here.
The
paper was written by Thomas W. Eagar, the Thomas Lord
Professor of Materials Engineering and Engineering Systems,
and Christopher Musso, a graduate research student.
Both are from the Massachusetts Institute of Technology
(MIT).
For
the most part the paper is very good, however, the speculative
aspects are used by some as evidence that the fire-induced
collapse scenario is authorative. As before my comments
will appear in black and the author's material will
appear in blue italics.
Let's
begin...
In
order to separate the fact from the fiction, we have
attempted to quantify various details of the collapse.
The
major events include the following:
The
airplane impact with damage to the columns.
The ensuing fire with loss of steel strength and distortion
(Figure 1).
The collapse, which generally occurred inward without
significant tipping (Figure 2).
In
order to separate the fact from the fiction, it is important
to note that the degree of strength loss and distortion
is unknown and never will be known. We do not know if
this played a factor in the collapse at all.
The
authors then refer to the visual nature of the collapse
as being "generally...inward without significant
tipping". That's a politically correct term for
describing an implosion.
Let's
continue...
Of
equal or even greater significance during this initial
impact was the explosion when 90,000 L gallons of jet
fuel, comprising nearly 1/3 of the aircrafts weight,
ignited. The ensuing fire was clearly the principal
cause of the collapse
According
to Boeing,
a 767 carries 23,980 U.S. gal (90,770 l). The authors
are assuming that the planes had full fuel loads. According
to FEMA's
assessment, each aircraft was carrying around 10,000
gallons (37,854 l).
We
are then told that "fire was clearly the principle
cause of the collapse" without any corroborating
physical evidence. Not to mention the fact that no skyscraper,
in the history of the US, before or since, has ever
collapsed from fire.
This
statement is really a shot in the dark and complete
speculation.
It
is known that the WTC fire was a fuel-rich, diffuse
flame as evidenced by the copious black smoke. Soot
is generated by incompletely burned fuel; hence, the
WTC fire was fuel richhardly surprising with 90,000
L of jet fuel available.
Firstly,
this black smoke was observed for over an hour, which
according to NIST's report, would indicate that it was
not due to jet fuel, but rather, burning office contents:
"The
jet fuel, which ignited the fires, was mostly consumed
within the first few minutes after impact. The fires
that burned for almost the entire time that the buildings
remained standing were due mainly
to burning building contents and, to a lesser
extent, aircraft contents, not
jet fuel."
Key
Findings of NISTs June 2004 Progress Report on
the Federal Building and Fire Safety Investigation of
the World Trade Center Disaster
Secondly,
as we noted earlier, the amount of jet fuel was over-estimated
by at 50,000L. Thus, reducing burning time of the fuel
and the maximum coverage by 5/9ths the origonal estimate.
It would not, however, impact the burning temperature
as noted by the authors. It simply reduced the initial
scale and slow the long term progression of the subsequent
fire.
Let's
continue...
It
is known that structural steel begins to soften around
425°C and loses about half of its strength at 650°C.4
This is why steel is stress relieved in this temperature
range. But even a 50% loss of strength is still insufficient,
by itself, to explain the WTC collapse. It was noted
above that the wind load controlled the design allowables.
The WTC, on this low-wind day, was likely not stressed
more than a third of the design allowable, which is
roughly one-fifth of the yield strength of the steel.
Even with its strength halved, the steel could still
support two to three times the stresses imposed by a
650°C fire.
So,
it is noted that structural integrity was not compromised
by the impacts and that even a 50% loss of strength
would not have induced the collapse.
The
additional problem was distortion of the steel in the
fire. The temperature of the fire was not uniform everywhere,
and the temperature on the outside of the box columns
was clearly lower than on the side facing the fire.
The temperature along the 18 m long joists was certainly
not uniform. Given the thermal expansion of steel, a
150°C temperature difference from one location to
another will produce yield-level residual stresses.
This produced distortions in the slender structural
steel, which resulted in buckling failures. Thus, the
failure of the steel was due to two factors: loss of
strength due to the temperature of the fire, and loss
of structural integrity due to distortion of the steel
from the non-uniform temperatures in the fire.
This
notion has since been demonstrated to be false. In tests
conducted by NIST the trusses did not fail, even though
they were tested to their maximum design load, which
is some 1,300 tons greater than the weight of the floor
itself and nowhere near the loads that were on the floors
at the time of the collapse.
"Tests
were conducted in both the restrained and unrestrained
condition to provide bounds on the expected performance
of the floor system under the standard fire exposure.
The restrained full-scale WTC floor system obtained
a fire resistance rating of 1½ h while the unrestrained
floor system achieved a 2 h rating. For the unrestrained
test condition, specimens protected with ¾ in.
thick sprayed fire resistive material were able to sustain
the maximum design load for approximately 2 h without
collapsing; in the unrestrained test, the load was maintained
without collapsing for 3½ h."
Fire
Resistance Tests of Floor Truss Systems (Draft)
So,
once again, we have another paper that is irrelevent
to any factual discussion on the collapse of the WTC.
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