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Design formulas for flexible plates not clamped at the contour

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Conclusions

  1. 1.

    The method of subregions. first used for the design of circular flexible plates free at the contour, yields results sufficiently accurate for practical purposes.

  2. 2.

    Formula (6) is recommended for use instead of the formulas given in design handbooks.

  3. 3.

    Stresses must be calculated not only at section ξ=0, and ξ=1, but also at section ξ=ξ0 where the positive flexural stress is maximal. For this one may use the coefficients γ found on the graph in Fig. 1.

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Literature Cited

  1. 1.

    B. M. Broude, “Nonlinear problems in the theory of plates and their role in structural design,” in: Summer-Session Study Course on Physical and Geometrical Problems in the Theory of Plates and Shells [in Russian]. Izd. Akad. Nauk ÉstSSR. Tartu (1966), pp. 42–46.

  2. 2.

    L. Collatz, Numerical Treatment of Differential Equations, 3rd ed., Springer-Verlag (1966).

  3. 3.

    M. S. Kornishin, Nonlinear Problems in the Theory of Plates and Shallow Shells and Methods of Their Solution [in Russian], Izd. Nauka, Moscow (1964).

  4. 4.

    I. A. Birger and Ya. G. Panovko (editors), Strength-Stability-Vibrations [in Russian], Vol. 1, Izd. Mashinostroenie, Moscow (1968).

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Additional information

Ukrainian Institute of Hydraulic Engineers, Rovno. Translated from Prikladnaya Mekhanika, Vol. 12, No. 7, pp. 106–109, July, 1976.

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Kraiterman, B.L., Maksimova, I.I. Design formulas for flexible plates not clamped at the contour. Soviet Applied Mechanics 12, 719–721 (1976). https://doi.org/10.1007/BF00882757

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Keywords

  • Practical Purpose
  • Design Formula
  • Flexural Stress
  • Flexible Plate
  • Design Handbook