Stuart Doole was a fomer postdoc working with John Hogan on the dynamics of a peicewise linear model of a suspension bridge. An early preprint is available online . Contact John Hogan for more recent work , including a model that supports the transition between purely vertical oscillations and torsional modes, a feature that was observed in the collapse of the bridge. Also Alan Champneys has collaborated with Joe McKenna now of the University of Cork on the propensity of such simple models to support solitary waves; preprint 1 , preprint 2
Part of the motivation for this work was to provide a simple dynamical-systems explanation of the bi-stability and transition between modes observed in the famous collapse of the Tacoma Narrows suspension bridge.
The rest of this page provides a mirror to the information held at Carleton University Civil Engineering Exhibits Centre about the failure of the Bridge at Tacoma Narrows in May 1940.
On November 7, 1940, at approximately 11:00 AM, the first Tacoma Narrows suspension bridge collapsed due to wind-induced vibrations. Situated on the Tacoma Narrows in Puget Sound, near the city of Tacoma, Washington, the bridge had only been open for traffic a few months.
The following images and captions were taken from the report:
A Case Study and Analysis of the Tacoma Narrows Bridge Failure
99.497 Engineering Project,
Department of Mechanical Engineering, Carleton University, Ottawa, Canada, March 29, 1974.
Supervised by Professor G. Kardos.
The full size images are generally 500x360 (approx.) 256-level grey scale images, of about 130 KBytes each.
This photograph shows the twisting motion of the center span just prior to failure.
The nature and severity of the torsional movement is revealed in this picture taken from the Tacoma end of the suspension span. When the twisting motion was at the maximum, elevation of the sidewalk at the right was 28 feet (8.5m) higher than the sidewalk at the left. Note the target at the left used by Professor Farquharson in making his observations.
This photograph actually caught the first failure shortly before 11 o'clock, as the first concrete dropped out of the roadway. Also note bulges in the stiffening girder near the far tower and also in the immediate foreground.
A few minutes after the first piece of concrete fell, this 600 foot section broke out of the suspension span, turning upside down as it crashed in Puget Sound. Note how the floor assembly and the solid girders have been twisted and warped. The square object in mid air (near the centre of the photograph) is a 25 foot (7.6m) section of concrete pavement. Notice the car in the top right corner.
This photograph shows the sag in the east span after the failure. With the centre span gone there was nothing to counter balance the weight of the side spans. The sag was 45 feet (13.7m). Also the immense size of the anchorages is illustrated.
This picture was taken shortly after the failure. Note the nature of the twists in the dangling remainder of the south stiffening girder and the tangled remains of the north stiffening girder.
The top left picture shows the center span diagonal ties and their connections. The top right picture shows the slackening of the tie due to twisting. The bottom left picture shows the frayed main cable after failure. About 600 (sic) wires are cut. The bottom right shot shows the diagonal ties after the failure.
This picture shows the buckling of the suspended floor system near the centre of the side spans. The top right picture shows the suspender connections and the type of cables used for this connection.
This picture shows the size of the towers and the type of construction used. There is a slight buckling of the tower as a result of the additional strain caused after the centre span collapsed. The towers were made out of structural carbon steel.
Back to contents
This downloadable video clip is an excerpt from the famous black and white movie. It is a short (250 frames) but biggish (684K) MPEG format clip. It shows maximum torsional motion shortly before failure.
Back to contents
The official source for video tapes about the Tacoma Narrows Bridge Collapse (1940) is available from:
Ed Elliot, The Camera Shop
1007 Pacific Avenue, Tacoma, Washington
ph: (253) 627-4159 fax: (253) 627-6107
The video is about 8 minutes in colour, with lots of good pictures of actual bridge bouncing away and collapsing, as well as scale model tests.
Back to contents
Back to Applied Nonlinear Mathematics
Back to Engineering MathematicsThis page was originally created by Stuart Doole and is currently maintained by Alan Champneys