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Bending of a partially clamped rectangular plate

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Summary

The present study deals with the bending of a rectangular plate with two opposite simply-supported edges and other two free edges having any portion, clamped in such a way that the slope is zero. The solution is obtained by means of a superposition proposed by Kurata and Hatano [3]. The case of a square plate under a uniform load or a point load has been studied in detail.

Übersicht

Es wird die Biegung einer rechteckigen Platte untersucht, von der zwei Ränder einfach unterstützt sind, während die anderen Ränder zum Teil frei sind, zum Teil so eingespannt, daß die Neigung verschwindet. Die Lösung wird mit Hilfe einer Superposition erhalten, die von Kurata und Hatano [3] vorgeschlagen wurde. Für den Fall einer quadratischen Platte unter einer gleichförmigen Last oder einer Einzellast werden die Berechnungen weiter ausgeführt.

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References

  1. A. Nadai, Elastische Platten, Berlin 1925, p. 162.

  2. S. Timoshenko and W. S. Krieger, Theory of plates and Shells, New York 1959.

  3. M. Kurata and S. Hatano, Proc. 6th Japan Nat. Congr. Appl. Mech., 1956, p. 57.

  4. M. Kurata, Ing.-Arch. 27 (1960) p. 385.

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  5. M. Kurata and H. Okamura, Z. Angew. Math. Mech. 40 (1960) p. 310.

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  6. M. Kurata and H. Okamura, Proc. ASCE., J. Eng. Mech. Div., 89 (1963) p. 169.

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Author notes

  1. N. Gajendar

    Present address: Department of Mathematics, Indian Institute of Technology, Kharagpur, India

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    1. N. Gajendar
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    Additional information

    This paper is a part of author's Ph. D. thesis submitted to the Indian Institute of Technology, Kharagpur in 1965.

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    Gajendar, N. Bending of a partially clamped rectangular plate. Ing. arch 37, 141–148 (1968). https://doi.org/10.1007/BF00532603

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    • DOI: https://doi.org/10.1007/BF00532603

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