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A semianalytic solution for radially supported curved plates in bending

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Abstract

By substituting the basic function in the circumferential direction satisfying the boundary conditions of the radial edges in the plate bending equation of the curved plate and performing a suitable transformation, an ordinary differential equation is resulted. The resulting equation is solved by finite difference technique using a small number of discrete variables. The method takes into account the orthotropy of the plate as well as the variation of its thickness. Examples have been presented for a variety of radially supported curved plates of different boundary conditions under uniform load and point loads. Excellent accuracy has been obtained wherever comparisons have been possible.

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References

  1. Timoshenko, S., andS. Woinsky-Krieger: Theory of plates and shells, New York, London: McGraw Hill 1959.

    Google Scholar 

  2. Bhattacharya, A. P.: Bending of a sector plate having clamped straight edges. J. Appl. Mech., Trans. ASME Vol. 42 (1975) p. 229/30.

    Google Scholar 

  3. Coull, A., andP. C. Das: Analysis of curved bridge decks. The Inst. of Civ. Engrs., London Vol. 37 (1965) p. 75/85.

    Google Scholar 

  4. Coull, A., andA. S. Ergin: Analysis of bridge slabs curved in plan. Civ. Engng. and Public Works Rev. Vol. 60 (1965) p. 1745/49.

    Google Scholar 

  5. Heins, C. P., andR. L. Hails: Behaviour of stiffened curved plate models. J. of Strl. Divn., ASCE Vol. 95 (1969) p. 2353/70.

    Google Scholar 

  6. Dey, S. S.: Numerical and experimental analysis of curved slabs radially supported. Doctoral Thesis, Indian Inst. of Tech., Kharagpur 1971.

    Google Scholar 

  7. Lee, H. W. L., andC. P. Heins Jr.: Local loading on curved reinforced concrete slabs. Progress Report, Civ. Engr. Dept., Univ. of Maryland 1970.

  8. Hrudey, T. M.: A finite element procedure for plates with curved boundaries. Computers & Structures Vol. 7 (1977) p. 553/64.

    Article  Google Scholar 

  9. Mukhopadhyay, M.: A semianalytical solution for rectangular plate bending. Computers & Structures (accepted for publication).

  10. Mukhopadhyay, M.: A semianalytical solution for free vibration of rectangular plate. J. of Sound and Vibration Bd. 60 (1978) Nr. 1, S. 1/15.

    Google Scholar 

  11. Ramaiah, G. K., andK. Vijaykumar: Natural frequencies of circumferentially truncated sector plates with simply supported straight edges. J. of Sound and Vibration Vol. 34 (1974) p. 53/61.

    Google Scholar 

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Authors and Affiliations

  1. Naval Architecture Department Indian Institute of Technology, Kharagpur, West Bengal, India

    Madhujit Mukhopadhyay

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  1. Madhujit Mukhopadhyay
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Mukhopadhyay, M. A semianalytic solution for radially supported curved plates in bending. Forsch Ing-Wes 44, 187–196 (1978). https://doi.org/10.1007/BF02560902

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  • DOI: https://doi.org/10.1007/BF02560902

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