On the history of suspension bridge theory

T. Malcolm Charlton; Placido Cicala

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1991)

  • Volume: 2, Issue: 4, page 345-351
  • ISSN: 1120-6330

Abstract

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A linearized formulation of the elastic theory of suspension bridges is confronted with early investigations in the field. For decades, the structure was schematized as a beam (deck or girder) relieved by a one parameter distribution of forces exerted by the cable, disregarding the influence of beam deflection on that distribution as given by the linearized approach. An anonymous note presented the essential conclusions of this theory anticipating results of investigations following the methods started by Cotterill and Castigliano. Cotterill's approach is applied to a hyperstatic scheme.

How to cite

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Charlton, T. Malcolm, and Cicala, Placido. "On the history of suspension bridge theory." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.4 (1991): 345-351. <http://eudml.org/doc/244255>.

@article{Charlton1991,
abstract = {A linearized formulation of the elastic theory of suspension bridges is confronted with early investigations in the field. For decades, the structure was schematized as a beam (deck or girder) relieved by a one parameter distribution of forces exerted by the cable, disregarding the influence of beam deflection on that distribution as given by the linearized approach. An anonymous note presented the essential conclusions of this theory anticipating results of investigations following the methods started by Cotterill and Castigliano. Cotterill's approach is applied to a hyperstatic scheme.},
author = {Charlton, T. Malcolm, Cicala, Placido},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Suspension bridges; Structural analysis history; Elastic structures},
language = {eng},
month = {12},
number = {4},
pages = {345-351},
publisher = {Accademia Nazionale dei Lincei},
title = {On the history of suspension bridge theory},
url = {http://eudml.org/doc/244255},
volume = {2},
year = {1991},
}

TY - JOUR
AU - Charlton, T. Malcolm
AU - Cicala, Placido
TI - On the history of suspension bridge theory
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/12//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 4
SP - 345
EP - 351
AB - A linearized formulation of the elastic theory of suspension bridges is confronted with early investigations in the field. For decades, the structure was schematized as a beam (deck or girder) relieved by a one parameter distribution of forces exerted by the cable, disregarding the influence of beam deflection on that distribution as given by the linearized approach. An anonymous note presented the essential conclusions of this theory anticipating results of investigations following the methods started by Cotterill and Castigliano. Cotterill's approach is applied to a hyperstatic scheme.
LA - eng
KW - Suspension bridges; Structural analysis history; Elastic structures
UR - http://eudml.org/doc/244255
ER -

References

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  1. RANKINE, W. J. M., Applied Mechanics. Griffin, London1858. JFM35.0693.08
  2. ANON, , Suspension girder bridges for railway traffic. The Civil Engin. Arch. J., 23, 1860, 317-319, 352-356. 
  3. BARLOW, P. W., On the mechanical effects of combining girder and supension chains. The Civil Engin. Arch. J., 23, 1860, 225-230. 
  4. LEVY, M., Mémoire sur le calcul des ponts suspendus rigides. Annales des Ponts et Chaussées, s.2, 12, 1886, 179-246. 
  5. COTTERILL, J. H., On an extension of the dynamical principle of least action. London-Edinburgh-Dublin, Phil. Magaz., 29, 1865, 299-303. 
  6. RITTER, W., Versteifungsfachwerke bei Bogen- und Hängebrücken. Zeitschrift für Bauwesen, 27, 1877, 80-104. 
  7. RITTER, W., Statische Berechnung der Versteifungsfachwerke. Schweitzerische Bauzeitung, 1, 1883, 6-36. 
  8. MÜLLER-BRESLAU, H. F. B., Théorie der durch einen Balken versteiften Kette. Zeit. des Arch. u. Ing. Vereins Hannover, 27, 1881, 30-36. 
  9. FRANKEL, W., Das Prinzip der kleinsten Arbeit der inneren Kräfte elastischer Système. Zeit. des Arch. u. Ing. Vereins Hannover, 28, 1882, 31-38. 
  10. CHARLTON, T. M., A history of theory of structures in the nineteenth century. Cambridge University Press, 1982. 
  11. ANON, , The statics of bridges. The Chain-Disturbances. The Civil Engin. Arch. J., 25, 1862, 171-173, 236-237. 
  12. ANON, , The statics of bridges (Continuation). The Civil Engin. Arch. J., 26, 1863, 128-130. 
  13. PUGSLEY, A., The theory of suspension bridges. Arnold, London1957. Zbl0083.19001

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