|
|
| Design:Suspension |
Longest span
853.4
m |
Total length
1810.2
m |
Opening date
July 1,1940 |
Collapse date
Nov 7 1,1940 |
|
The
original Tacoma
Narrows Bridge opened on July 1, 1940 and dramatically collapsed on
November 7
of the same year. At the time of its
construction (and destruction) it was the third longest suspension
bridge in the world, behind the Golden Gate Bridge
and George Washington Bridge.
The
bridge was solidly built, with girders of carbon steel anchored in huge
blocks
of concrete. Preceding designs typically had open lattice beam trusses
underneath the roadbed. This bridge
was the first of its type to employ plate
girders (pairs of deep I beams) to support the roadbed. With the
earlier
designs any wind would simply pass through the truss, but in the new
design the
wind would be diverted above and below the structure.
Shortly
after construction finished at the end of June (opened to
traffic on July 1,
1940), it was discovered that the
bridge would sway and buckle dangerously in
relatively mild windy conditions for the area. This vibration
was transverse,
meaning the bridge buckled along its length, with the roadbed
alternately
raised and depressed in certain locations—one half of the central
span would
rise while the other lowered. Drivers would see cars approaching from
the other
direction disappear into valleys that dynamically appeared and
disappeared.
Because
of this behavior, a local humorist gave the bridge the nickname Galloping Gertie
from its rolling,
undulating behavior. Motorists crossing the 2,800-foot center span
sometimes
felt as though they were traveling on a giant roller coaster, watching
the cars
ahead disappear completely for a few moments as if they had been
dropped into
the trough of a large wave.
However,
the mass of the bridge was considered sufficient to keep it
structurally sound.
Cause
of collapse: The
failure of the bridge occurred when a never-before-seen twisting mode occurred,
from winds at a mild 40 miles per hour (64 km/h). This is a
so-called torsional
vibration mode (which is different from the transversal or
longitudinal
vibration mode), whereby when the left side of the roadway went down,
the right
side would rise, and vice versa, with the centerline of the road
remaining
still.
Specifically,
it was the second
torsional mode, in which the midpoint of
the bridge remained motionless while the two halves of the bridge
twisted in
opposite directions. Two men proved this point by walking along the
center
line, unaffected by the flapping of the roadway rising and falling to
each
side. This vibration was caused by aeroelastic fluttering.
Fluttering
is a physical phenomenon in which several degrees of freedom of a
structure
become coupled in an unstable oscillation driven by the wind. This movement
inserts energy to the bridge during each cycle so that it neutralizes
the
natural damping of the structure; the composed system
(bridge-fluid) therefore
behaves as if it had an effective negative damping (or had positive
feedback),
leading to a exponentially growing
response. In other words, the oscillations
increase in amplitude with each cycle because the wind pumps in more
energy
than the flexing of the structure can dissipate, and finally drives the
bridge
toward failure due to excessive deflection and stresses. The wind speed
that
causes the beginning of the fluttering phenomenon (when the effective
damping
becomes zero) is known as the flutter velocity.
Fluttering occurs even in low
velocity winds with steady flow. Hence, bridge design must ensure that flutter
velocity will be higher than the maximum mean wind speed present at the
site.
Eventually,
the amplitude of the motion produced by the fluttering increased beyond
the
strength of a vital part, in this case the suspender cables. Once
several
cables failed, the weight of the deck transferred to the adjacent
cables that
broke in turn until almost all of the central deck fell into the water
below
the span.
Effect of
collapse on Bridge Engineering:
The
bridge's collapse had a lasting effect on science and engineering. In
many physics
textbooks the event is presented as an example of elementary forced
resonance
with the wind providing an external periodic frequency that matched the
natural
structural frequency, even though its real cause of failure was
aeroelastic
flutter. Its failure also boosted research in the field of bridge
aerodynamics/aeroelastics,
the study of which has influenced the designs of all the world's great
long-span bridges built since 1940.
End
Note: No human life was lost in this accident. Tubby, a black male dog, was the
only fatality of the Tacoma Narrows Bridge
disaster. Leonard Coatsworth, a Tacoma News Tribune editor, was
driving with
the dog over the bridge when the bridge started to vibrate violently.
Coatsworth was forced to flee his car, leaving Tubby behind. Professor
Farquharson and a news photographer attempted to rescue Tubby during a
lull, but the dog was too
terrified to leave the car and bit one of the rescuers. Tubby died when
the
bridge fell, and neither his body nor the car were ever recovered.
Coatsworth
had been driving Tubby back to his daughter, who owned the dog.
The replacement
of this bridge was opened in
the same location in 1950, and a second, parallel bridge opened in 2007