This document discusses the 1940 collapse of the Tacoma Narrows Bridge in Washington state. Known as "Galloping Gertie" due to its violent vertical oscillations in windy conditions, the suspension bridge collapsed just four months after opening when winds of 64 km/h caused it to display both vertical and torsional oscillations. The vertical oscillations were an example of forced harmonic motion where the deck motion matched the sinusoidal force of the wind, with frequency and amplitude increasing as the wind speed matched the bridge's natural frequency. The oscillations then suddenly changed to a torsional twisting motion that persisted for 45 minutes before the bridge collapsed.
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Institution:
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Abstract:
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Methodology:
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Results:
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Phys LO
1.
2. This suspension bridge, nicknamed “Galloping Gertie”, was
known for its vertical oscillations in windy conditions. It
collapsed four months after it opened, on November 7,
1940, a day with winds of 64 km/h.
3. Video
In this video you can observe two different types of bridge
oscillation that happened in the collapse: vertical and
torsional oscillation.
https://www.youtube.com/watch?x-yt-cl=84503534&x-yt-
ts=1421914688&feature=player_detailpage&v=j-
zczJXSxnw
I will focus on the vertical oscillation of the Tacoma
Narrows Bridge.
4. Vertical oscillation in the bridge
This kind of oscillation is an example of forced harmonic
oscillations, where the sinusoidal motion of the deck is due to
an external sinusoidal force (wind).
The vertical oscillations of the bridge displayed two defining
characteristics of forced harmonic motion:
1. The vertical oscillations’ frequency varies linearly with the
wind velocity.
2. The amplitude of the oscillation has a maximum when the
angular frequency of the external sinusoidal force is equal
to the natural angular frequency of the bridge deck
5. When the nature of the motion changed suddenly from
vertical to torsional, the result was a violent twisting
motion that persisted during 45 minutes. Then the bridge
collapsed.
