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Static Parameters of Beams on Elastic Foundation / Paramètres statiques pour des poutres sur fondation élastique / Statische Parameter von Balken auf elastischer Unterlage pp 247–264Cite as

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Static Parameters of Beams on Elastic Foundation

Paramètres statiques pour des poutres sur fondation élastique

Statische Parameter von Balken auf elastischer Unterlage

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Part of the book series: Institut für Baustatik und Konstruktion ((IBK,volume 33))

Abstract

The analysis of beams resting on elastic foundation has been developed during the second half of the past century by Winkler [1], Zimmermann [2], and Schwedler [3]. Hayashi [4] extended this type of analysis to frames and prepared a set of tables [5] facilitating the numerical calculations. New developments in this area have been initiated by Umansky [6], Filonenko-Borodic [7], and Heteneyi [8], designated as the method of initial parameters, and the method of end conditioning, respectively.

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Bibliographie

  1. Winkler, E.: Die Lehre von Elastizität und Festigkeit, Prag 1867.

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  2. Zimmermann, H.: Die Berechnung des Eisenbahnoberbaues, Berlin 1888.

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  3. Scxwedler, J. W.: Beiträge zur Theorie des Eisenbahnoberbaues, Z. Bauverw., 1889, p. 86.

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  4. Hayashi, K.: Theorie des Trägers auf elastischer Unterlage, Berlin 1921, p. 21.

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  5. Hayashi, K.: Sieben- und mehrstellige Tafeln der Kreis-und Hyperbelfunktionen und deren Produkte sowie der Gammafunktionen, Berlin 1926.

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  6. Umansky, A. A.: Analysis of Beams on Elastic Foundation, Central Research Institute of Auto-Transportation (Leningrad, 1933). Idem: Special Course in Structural Mechanics, General Redaction of Literature of Building ( Leningrad-Moscow, 1935 ), Part I. (These publications contain also bibliographies of earlier Russian works. )

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  7. Filcnenko-Borodic, M. M.: Soprotivlenije materialov (2. vyd., 1940, p. 540–554).

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  8. Heteney, M.: Beam on Elastic Foundation, University of Michigan Press, Ann Arbor, 1946.

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  9. Pestel, E. and Leckie, F.: Matrix Methods in Elasto-Statics, New York, 1963.

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  10. Kersten, R. and Falk, S.: Reduktionsverfahren der Baustatik, Berlin 1962.

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  11. Petersen, C.: Das Verfahren der übertragungsmatrizen (Reduktionsverfahren) für den kontinuierlich elastisch gebetteten Träger, Bautechnik 3/1965, p. 87–89.

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  12. Bazant, Z.: Nauka o Pruznosti a Pevnosti, Technickÿ Pruvodce, Vol. 3, Prague 1955, p. 112.

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  13. Miranda C. and Nair K.: Finite Beams on Elastic Foundation, Journ. of the Struct. Div., Asce, Vol. 92, St. 2, Proc. Paper 4778, April 1966, p. 131–142.

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Author information

Authors and Affiliations

  1. Oklahoma State University, Stillwater, Oklahoma, USA

    J. J. Tuma (Prof. of Civil Engineering)

  2. Institut für Baustatik, Federal Institute of Technology, Zürich, Switzerland

    G. Alberti (Research Associate)

Authors
  1. J. J. Tuma
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  2. G. Alberti
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© 1970 Springer Basel AG

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Tuma, J.J., Alberti, G. (1970). Static Parameters of Beams on Elastic Foundation. In: Static Parameters of Beams on Elastic Foundation / Paramètres statiques pour des poutres sur fondation élastique / Statische Parameter von Balken auf elastischer Unterlage. Institut für Baustatik und Konstruktion, vol 33. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6892-1_1

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  • DOI: https://doi.org/10.1007/978-3-0348-6892-1_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-0614-4

  • Online ISBN: 978-3-0348-6892-1

  • eBook Packages: Springer Book Archive

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