The
triumph of modern structural engineering led to tragedy when people
with evil inventions brought about unintended loading
The skyscraper
has fascinated me since I first saw watercolor paintings of office buildings
done by my father, a mechanical engineer with an artistic streak. The
beauty of the tall building can be seen not only in its impact on the
skyline but also in its structural efficiency to withstand lateral loads
from earthquake and wind, as well as vertical gravity loading.
For this
structural engineer, the tragedy of September 11 went beyond the horrific
loss of human life. The following question continually flowed through
my mind: How could the World Trade Center towers, two structures exhibiting
engineering genius and visual majesty, suddenly become tombs for so
many innocent people? The answer could give me and other individuals
some understanding of at least one part of the tragedy.
Each tower
contained about an acre of space per floor and rose 1,350 feet above
the street. The design and construction of the towers can be appreciated
when one considers that, combined, they contained 230 passenger elevators
to move people throughout their 110 floors. Planning for the structures
took nine years, and four years of demolition was required before they
could begin to rise above New York. Construction averaged three floors
on each tower every 10 days, and approximately 600 tons of structural
steel arrived daily at the site.
The tower's
structural efficiency can be seen when one examines the hollow pierced
tube system used in construction. The exterior steel columns (14 square
inches) were spaced very close together (3'3 apart), and
deep spandrel elements (horizontal members) formed the top and bottom
of the windows. Therefore, the exterior tube of the building was essentially
a solid piece of steel with holes punched in it for windows. This tube
was designed to be a Vierendeel truss to resist the lateral wind loading.
The hollow
pierced tube system also incorporated a central core composed of structural
steel columns that housed stairways, elevators, and other service elements.
The central core and exterior tube shared responsibility for supporting
the vertical gravity loading. This structural system resulted in large
column-free floor plans. Floor trusses supported and acted compositely
with four-inch concrete slabs. These trusses spanned from the central
core to the exterior tube.
The relatively
thin nature of the exterior tube (14 inches thick) can be thought of,
in a simplistic sense, as a soda can. One can stand on an unopened can
of soda because the liquid and pressure inside braces the
can's sides and prevents them from buckling. However, when the
liquid or pressure is removed, any small movement or slight tap on the
side of the empty can cause it to buckle and collapse. Likewise,
the exterior tubes of the WTC towers were braced by and
eventually buckled due to the failure of the floor framing system.
To understand
the collapse, one has to look at a replay of the tragic event. From
the video, the aircrafts appear to be swallowed by the buildings.
One can clearly see the flames (and most likely the wings, fuselage,
etc.) passing through the interior of the building and even exiting
the opposite side. Initial impact did not cause collapse of either tower
thanks to a structural principle called redundancy. In simple terms,
redundancy means that if a load-resisting path (in this case, the exterior
tube) is compromised, other load paths are available, and therefore,
collapse is prevented. When the aircraft penetrated the exterior tube,
it cut some of the load paths available for the floor framing. However,
the fact that the exterior tube contained many closely-spaced columns
ensured that other load paths were available for floor loads to get
to the foundation. Just as the exterior tube was designed as a Vierendeel
truss to resist horizontal wind loading, it acted like a Vierendeel
truss to span horizontally and carry the floor loading across the holes
in the outer wall created by the aircraft.
As the
WTC towers fought to redistribute their weight throughout the exterior
tube and interior core columns down to the foundation, a very sinister
element was at workfire. The extraordinarily high-temperature
fire that was burning throughout the floors adjacent to the impact zone
was creating a gradual and consistent weakening of the structural framing
system. It is a well-known fact that structural steel cannot survive
fires for extended periods of time. Therefore, all steel building components
are coated with fire-resistant materials to inhibit weakening of these
elements for a period of time sufficient to allow firefighters to put
out the flames. The main problem in the WTC collapse was that the fire
was fed by jet fuel and not the usual sources found in office towers
(e.g., paper and other combustible materials). Thus, the intensity of
the fire was far greater than anything considered by
the engineers.
The structural
efficiency that made the towers special may also have been one reason
why they collapsed. As the fire continued to burn, the interior core,
the exterior tube, and the critical connections of the floor trusses
were being incrementally weakened. It is conceivable that, at some point,
the floor truss connections to the exterior skin failed at one or multiple
floor levels. When these connections failed, it was like letting the
liquid or pressure out of the soda can. The fire-weakened exterior tube
began to lose its critical bracing, which could have led to the buckling
or bulging of the exterior tube. Thus, there were many floors above
the compromised level that now had no vertical support at the exterior
of the building. These floors then became a free falling load, which
initiated a progressive collapse mechanism in the towers. The towers
then collapsed in a manner similar to a controlled demolition.
The natural
question one might ask is: Why didn't the bombing in 1993 take
down the towers? A relatively simple answer to this question lies, once
again, within the structural system. The truck-bomb parked in the garage
below the tower was situated between the interior core and the exterior
skin. Fortunately, the bomb was unable to compromise these critical
elements.
One must
understand that all structural failures of catastrophic result require
many events to occur simultaneously. In the case of the WTC towers,
there was the unfortunate combination of aircraft impact to the critical
exterior tube with subsequent high-temperature and uncontrolled fire.
The engineers who designed the WTC towers included all conceivable loadings
to which the structures might be subjected. However, one can certainly
understand how a jet aircraft containing passengers and filled with
jet fuel flying into the upper stories of the building was not one of
their design criteria.
We can
always ask our engineers to design bunker-type building
structures. The Pentagon did not suffer the same catastrophic, progressive
collapse. However, would we as Americans like all our buildings to be
three-story bunkers or be built exclusively underground? What would
our great cities like Chicago, New York, and San Francisco look like
without the mixture of short buildings, tall buildings, stadiums, and
long-span bridges? Where is freedom expressed in concrete bunkers or
underground tunnels? Where would we be without tall buildings? We would
live in a very lifeless place, a place unworthy of being called the
United States of America.
Christopher
M. Foley is an assistant professor of civil and environmental engineering
at Marquette University in Milwaukee, Wis. He can be reached by e-mail
at cfoley@asee.org.