GROUP 4 TACOMA NARROWS BRIDGE FAILURE REBECCA DENTON DAVID DRAPER OMOSOLA FIFO GERARD DUFFY MICHEAL METAIS Group 4 - 4A6 - Tacoma narrows collapse Twist of the bridge Summary When it was inaugurated, on the 1st of July 1940, the suspended bridge of Tacoma was the 3rd largest suspension bridge in the world. A thin and slender structure, the bridge was very aesthetically pleasing. Four months later, on the 7th of November 1940, nothing remained of this masterpiece. Between those two dates a wind, of about 65 km per hour, caused the bridge to vibrate and ultimately collapse. The structure which was too light buckled and twisted, first slightly, but then more and more furiously. The movement of the bridge, continually amplified by the wind, caused one of the suspension cables to break. The load became too much for the others cables, which caused them to break also, and made the bridge collapse. Former state description The Tacoma Bridge was a suspended bridge of total length 1810 metres. Its intermediate range, the most important, was 853 metres long. Designed to support two road lanes (one in each direction), the bridge deck was only 12 metres in width, and had a height of 2.45 metres. Indeed, its slenderness was very detrimental to its failure since the height to range ratio was 1 / 350 (2.45 / 853m) for the main span. Its main defect was its flexibility and its weakness allowing it to twist and buckle. Post collapse state Nothing remains of the slender bridge. One of the main suspension cables broke due to the increased load put on it and this caused a 600 foot long span of the bridge to collapse into the water. Causes The theory is presented as an example of elementary resonance with the wind providing an external periodic frequency that matched the natural frequency of the structure, amplifying continually the movement of the bridge, until its collapse. However it has since been proven that the bridge failed due to aerostatic flutter. Flutter is when aerodynamic forces coupled with an objects natural mode of vibration act to cause periodic vibrations of the object. The wind was not that excessive; it was because the structure was not designed to resist them the created the problem. Written reports, by the Department of highways, advised to make the bridge deck bigger but the engineer Moiseiff was able to justify using the shallower girders by claiming that the main cables would be able to take half the static wind load. This was favourable for the project as they had financial troubles and these shallower girders significantly reduced the cost. Another problem was that rigid plate girders were used to support the road bed as opposed to the common practice of a truss design. The problem is that for a truss design the wind passes through the deck whereas the plate girder method provides resistance to the wind and the wind was designed to travel above and below the bridge deck. Finally, engineers at this time were ignorant in their knowledge of aerodynamics, which prevented them from seeing how the problems related to the wind would have acted, in spite of the fact that they tried to consolidate the bridge when they noticed oscillations by tying the trusses to 50 tons blocs located on the riversides and making holes in the steel trusses to make the wind resistance smaller. Consequences There are several consequences to this accident. Most importantly there were no human casualties since the phenomenon began one hour before the collapse, so that the area was able to be evacuated. On the economic and material side however, the bridge had to be rebuilt parallel and slightly south of the original bridge. During the 2 nd world war there was a shortage of both steel and wire so the decision was made to try and salvage as much of the material that collapsed from the first bridge but ironically this ended up costing the state $350,000 more. On the knowledge side, the failure impeded the ardour of the engineers who wanted to build thinner and thinner, more and more slender structures. One of the most important consequences was to focus engineers on aerodynamic phenomenon. Since this event, computer simulations and aerodynamic tests are carried out in wind tunnels before the erection of suspension bridges throughout the world. Engineers understood their mistakes since when the new bridge was built at the same place; the deck was changed to a deeper deck as originally advised (see illustration below). Therefore, rigidity of the new bridge is greater than before. Furthermore, the new bridge has a truss deck which, explained before has less resistance to wind. Before After