The cause of the collapse of the Tacoma Narrows Bridge has been a topic of much debate and confusion over the years. Many mischaracterizations of the observed phenomena have limited the understanding of the collapse even though there has always been an abundance of evidence in favor of a negative damping model. Negative damping, or positive feedback, is responsible for large amplitude oscillations in many systems, from musical instruments to the Tacoma Narrows Bridge failure. We discuss some of the more well known examples of positive feedback, and then show how the interaction of the wind with the oscillating bridge, especially the development of large scale vortices above and below the deck of the bridge, led to such a positive feedback instability. We support our model by computational, experimental, and historical data.

1.
Nevell H.
Fletcher
and
Thomas D.
Rossing
,
Physics of Musical Instruments
(
Springer
, New York,
1998
), 2nd ed. See especially Chaps. 10, 13, and 16.
2.
K. Y.
Billah
and
R. H.
Scanlan
, “
Resonance, Tacoma Narrows bridge failure and undergraduate physics textbooks
,”
Am. J. Phys.
59
(
2
),
118
124
(
1991
).
3.
O. H.
Ammann
,
T.
Von Karman
, and
G. B.
Woodruff
, “
The failure of the Tacoma Narrows Bridge
,” Report to the Honorable John M. Carmody, Administrator, Federal Works Agency, Washington, DC, 28 March 1941. This report is difficult to find. The Library of Congress does not have a copy, but apparently the Department of Transportation (http://dotlibrary.dot.gov/) has. It is also reprinted in Bulletin of the Agricultural and Mechanical College of Texas, Texas Engineering Experiment Station, College Station, TX, 4th Series, Vol. 15, No. 1, January 1, 1944. This issue may be equally difficult to find, although the Library of Congress does have a copy.
4.
See for example,
David
Newland
, “
Pedestrian excitation of bridges: Recent examples
,” in
Proceedings of the Tenth International Conference on Sound and Vibration
, Stockholm, July 2003, /www2.eng.cam.ac.uk/~den/pedestrian_excitation.pdf.
5.
Th.
von Karman
, “
Über den Mechanismus des Widerstandes, den ein bewegter Korper in einer Flüssigkeit erfahrt
,”
Göttinger Nachrichten Math. Phys. Klasse
509
,
547
(
1911
).
6.
P. J.
McKenna
, “
Large torsional oscillations in suspension bridges revisited: Fixing an old approximation
,”
Am. Math. Monthly
106
,
1
18
(
1999
).
7.
P. J.
McKenna
and
Cilliam
O'Tuama
, “
Large torsional oscillations in suspension bridges visited again: Vertical forcing creates torsional response
,”
Am. Math. Monthly
108
,
738
745
(
2001
).
8.
Barnet
Elliott
,
Harbine
Monroe
, and
Aug.
von Boecklin
, “
The collapse of the Tacoma Narrows Bridge
.” Film available from The Camera Shop, Tacoma, WA, www.camerashoptacoma.com/. Frames from the film are used with permission of The Camera Shop.
9.
Y.
Kubo
,
K.
Hirata
, and
K.
Mikawa
, “
Mechanism of aerodynamic vibration of shallow bridge girder section
,”
J. Wind. Eng. Ind. Aerodyn.
42
,
1297
1308
(
1992
).
10.
A.
Larsen
, “
Aerodynamics of the Tacoma Narrows Bridge – 60 years later
,”
Struc. Eng. Intern.
4
,
243
248
(
2000
).
11.
G.
Morgenthal
, “
Aerodynamic analysis of structures using high-resolution vortex particle methods
,” Ph.D. thesis,
Cambridge University
,
2002
.
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.