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The Millennium Bridge, officially known as the London Millennium Footbridge, is a steel for pedestrians crossing the in , , linking with the . It is located between and . It is owned and maintained by , a charitable trust overseen by the . Construction began in 1998, and it initially opened in June 2000.

Londoners nicknamed the bridge the "Wobbly Bridge" after pedestrians experienced an alarming swaying motion. The bridge was closed later on opening day and, after two days of limited access, for almost two years while modifications were made to eliminate the motion. It reopened in February 2002.

The southern end of the bridge is near the , the , and , while the northern end of the bridge is next to the below . The bridge alignment is such that a clear view (i.e. a "") of St Paul's south façade is presented from across the river, framed by the bridge supports.

Contents

The design of the bridge was the subject of a organised in 1996 by and . The winning entry was an innovative "blade of light" effort from , , and Sir . Due to , and to improve the view, the bridge's suspension design had the supporting cables below the deck level, giving a very shallow profile. The bridge has two river piers and is made of three main sections of 81 m (266 ft), 144 m (472 ft), and 108 m (354 ft) (north to south) with a total structure length of 325 m (1,066 ft); the aluminium deck is 4 m (13 ft) wide. The eight suspension cables are tensioned to pull with a force of 2,000  against the piers set into each bank—enough to support a of 5,000 people on the bridge at one time.

Construction[edit]

London Millennium Bridge at night. This image shows the well known and much photographed illusion of St. Paul's Cathedral being supported by one of the bridge supports.

Ordinarily, bridges across the River Thames require an Act of Parliament. For this bridge, that was avoided by the granting a licence for the structure obtaining from the and . Construction began in late 1998 and the main works were started on 28 April 1999 by and . The bridge was completed at a cost of £18.2M (£2.2M over budget), primarily paid for by the and the London Bridge Trust. It opened on 10 June 2000 (two months late).

Unexpected lateral vibration (resonant structural response) caused the bridge to be closed on 12 June 2000 for modifications. Attempts were made to limit the number of people crossing the bridge. This led to long but was ineffective to dampen the vibrations. Closure of the bridge only two days after opening attracted public criticism of it as another high-profile British Millennium project that suffered an embarrassing setback, akin to how many saw the . Vibration was attributed to an under-researched phenomenon whereby pedestrians crossing a bridge that has a lateral sway have an unconscious tendency to match their footsteps to the sway, exacerbating it. The tendency of a suspension bridge to sway when troops march over it in step was well known, which is why troops are required to break step when crossing such a bridge.

The bridge was temporarily closed on 18 January 2007, during the due to strong winds and a risk of pedestrians being blown off the bridge.

Resonance[]

Underside of bridge from Southbank

The bridge's movements were caused by a 'positive feedback' phenomenon, known as synchronous lateral excitation. The natural sway motion of people walking caused small sideways in the bridge, which in turn caused people on the bridge to sway in step, increasing the of the bridge oscillations and continually reinforcing the effect. On the day of opening, the bridge was crossed by 90,000 people, with up to 2,000 on the bridge at any one time.

vibrational modes due to vertical loads (such as trains, traffic, pedestrians) and wind loads are well understood in bridge design. In the case of the Millennium Bridge, because the lateral motion caused the pedestrians loading the bridge to directly participate with the bridge, the vibrational modes had not been anticipated by the designers. The crucial point is that when the bridge lurches to one side, the pedestrians must adjust to keep from falling over, and they all do this at exactly the same time. Hence, the situation is similar to soldiers marching in lockstep, but horizontal instead of vertical.

The risks of lateral vibration problems in lightweight bridges are well known. Any bridge with lateral frequency modes of less than 1.3 Hz, and sufficiently low mass, could witness the same phenomenon with sufficient pedestrian loading. The greater the number of people, the greater the amplitude of the vibrations. For example, in London has a sign dating from 1873 warning ranks of soldiers to break step while crossing. Other bridges which have seen similar problems are:

  • , with a lateral frequency of 0.67 Hz, during a 1975 demonstration
  • Link bridge, with a lateral frequency of 0.7 Hz
  • Dockwray Footbridge, Cumbria built 1907 with a lateral frequency of about 2 Hz
  • Groves Suspension Bridge, Chester, in 1977 during the Jubilee river regatta
  • collapsed in wind. Frequency about 0.25 Hz

After extensive analysis by the engineers, the problem was fixed by the retrofitting of 37 fluid-viscous dampers (energy dissipating) to control horizontal movement and 52 (inertial) to control vertical movement. This took from May 2001 to January 2002 and cost £5M. After a period of testing, the bridge was successfully reopened on 22 February 2002. The bridge has not been subject to significant vibration since. In spite of the successful fix of the problem, the affectionate "wobbly bridge" epithet remains in common usage among Londoners.

An artistic expression of the higher-frequency resonances within the cables of the bridge were explored by Bill Fontana's 'Harmonic Bridge' exhibition at the Tate Modern museum in mid-2006. This used acoustic transducers placed at strategic locations on the cabling of the Millennium Bridge and the signals from those transducers were amplified and dynamically distributed throughout the Turbine Hall of the Tate by a programme which Fontana entered into the sound diffusion engine of the AudioBox.

In popular culture[]

Showing the cable suspension system. The view east from the Millennium Bridge

See also[]

References[]

Notes
  1. Thames Bridges – Neil Davenport
  2. Life: The Observer Magazine – A celebration of 500 years of British Art – 19 March 2000
  3. Jeans, James. Science and Music. Cambridge University Press. p. 56. 
  4. BBC news: 18 January 2007.
  5. Josephson, Brian (14 Jun 2000). . Guardian Letters. Retrieved 22 March 2018. 
  6. Strogatz, Steven et al. (2005). Nature, Vol. 438, pp, 43–44.
  7. Julavitz, Robert. Village Voice. 26 August 2003.
  8. Dallard, P. et al. Structural Engineer. 20 November 2001. 79:22, pp.17–35.
  9. in action
  10. . Urban75.org. Retrieved 26 March 2013. 
  11. Lydall, Ross (27 October 2009). . Thisislondon.co.uk. Archived from on 30 October 2009. Retrieved 26 March 2013. 
  12. Resoundings
  13. . Golondon.about.com. 5 March 2014. Retrieved 10 July 2014. 
  14. Shahid, Sharnaz (11 August 2013). . . Archived from on 30 June 2014. Retrieved 11 August 2013. 
Bibliography
  • Reaney, Patricia. (6 November 2005). "Why the Millennium Bridge wobbled". , p. F20.
  • Strogatz, Steven. (2003). Sync: The Emerging Science of Spontaneous Order. New York: .   (cloth) [2nd ed., Hyperion, 2004.   (paper)]

External links[]




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