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The Collapse of the 1940
Tacoma Narrows Bridge
Ao Lin (Daniel) Gong
L2C Blue
13-10: Concepts about Resonance
Video Introduction
• https://www.youtube.com/watch?v=xox9BVSu
7Ok&x-yt-cl=85114404&x-yt-ts=1422579428
Image retrieved from:
http://blackstoneedge.com/blog/wp-
content/uploads/2011/05/6-35-
Tacoma-Narrows-Bridge-
collapse_150dpi.jpg
Background Information
• The 1940 Tacoma Narrows Bridge was a
suspension bridge that opened on July 1st
1940 and collapse 4 months later in
Washington State.
• It collapsed on November 7 due to the 64
km/h wind conditions that day.
Bridge’s Collapse
Image retrieved from:
http://fineartamerica.com/featured/tacoma-narrows-
bridge-habs-p2-photo-researchers.html
Concept Behind the Collapse (1)
• The bridge’s collapse is an example of a
resonance disaster .
• The bridge was in resonance with the strong
wind that day (the externally applied force) as
the wind’s driving frequency matched the
natural frequency of the bridge.
• fdriving = f0 (resonance condition)
Concept Behind the Collapse (2)
• The mechanical resonance was reached
because in that case, the oscillator (the bridge)
vibrated at the frequency of the driving force
(the wind), which was equal to the bridge’s
natural frequency.
• As a result, the bridge starts oscillating and
the kinetic energy due to the vibration is
transferred and stored in the bridge.
Image retrieved from:
http://www.lib.washington.edu/specialcollections/collections
/exhibits/tnb/collapse
Concept Behind the Collapse (3)
• The energy is stored because the wind inserts
more energy than the bridge’s damping can
dissipate.
• This caused the bridge’s oscillation amplitude
to increase with each cycle of vibration.
• Eventually, the load limit of the bridge was
exceeded and ultimately collapsed.
Legacy and Possible Preventions
• Today, the incident is served as a lesson to all
engineering and physics students about the
importance of mechanical resonance.
• Today, many skyscrapers deal with this
problem by using a tuned-mass damper
(critically damped oscillator) that absorbs
energy from vibrations when resonance
condition is met.
References
• Nelson Physics for Scientists and Engineers
Revised Custom Volume 1 PHYS 101
• Wikipedia: Tacoma Narrows Bridge (1940)
http://en.wikipedia.org/wiki/Tacoma_Narrows_Bridge_%281940%29

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The collapse of the 1940

  • 1. The Collapse of the 1940 Tacoma Narrows Bridge Ao Lin (Daniel) Gong L2C Blue 13-10: Concepts about Resonance
  • 2. Video Introduction • https://www.youtube.com/watch?v=xox9BVSu 7Ok&x-yt-cl=85114404&x-yt-ts=1422579428 Image retrieved from: http://blackstoneedge.com/blog/wp- content/uploads/2011/05/6-35- Tacoma-Narrows-Bridge- collapse_150dpi.jpg
  • 3. Background Information • The 1940 Tacoma Narrows Bridge was a suspension bridge that opened on July 1st 1940 and collapse 4 months later in Washington State. • It collapsed on November 7 due to the 64 km/h wind conditions that day.
  • 4. Bridge’s Collapse Image retrieved from: http://fineartamerica.com/featured/tacoma-narrows- bridge-habs-p2-photo-researchers.html
  • 5. Concept Behind the Collapse (1) • The bridge’s collapse is an example of a resonance disaster . • The bridge was in resonance with the strong wind that day (the externally applied force) as the wind’s driving frequency matched the natural frequency of the bridge. • fdriving = f0 (resonance condition)
  • 6. Concept Behind the Collapse (2) • The mechanical resonance was reached because in that case, the oscillator (the bridge) vibrated at the frequency of the driving force (the wind), which was equal to the bridge’s natural frequency. • As a result, the bridge starts oscillating and the kinetic energy due to the vibration is transferred and stored in the bridge.
  • 8. Concept Behind the Collapse (3) • The energy is stored because the wind inserts more energy than the bridge’s damping can dissipate. • This caused the bridge’s oscillation amplitude to increase with each cycle of vibration. • Eventually, the load limit of the bridge was exceeded and ultimately collapsed.
  • 9. Legacy and Possible Preventions • Today, the incident is served as a lesson to all engineering and physics students about the importance of mechanical resonance. • Today, many skyscrapers deal with this problem by using a tuned-mass damper (critically damped oscillator) that absorbs energy from vibrations when resonance condition is met.
  • 10. References • Nelson Physics for Scientists and Engineers Revised Custom Volume 1 PHYS 101 • Wikipedia: Tacoma Narrows Bridge (1940) http://en.wikipedia.org/wiki/Tacoma_Narrows_Bridge_%281940%29