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Abstract

A thin spherical shell is a very effective pressure container because the nominal stress is the same in all directions. Furthermore, it need be only half as thick as a cylinder of the same diameter. Unfortunately a spherical shell is rather ineffective when subjected to loads normal to the surface and high bending stresses are induced by this type of load. For the usual forms of surface loading, the bending behaviour of spherical shells is only significant near a boundary, so the analysis follows the procedure used in Chapter 5 for cylindrical shells.

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References

  1. Reissner H. Spannungen in Kugelschalen (Müller-Breslau, 1912).

    Google Scholar 

  2. Havers A. ‘Asymptotische Biegetheorie der unbelasteten Kugelschale’ Ingen-Arch. 6 (1935).

    Google Scholar 

  3. Geckeler J. W. Forschungarb. 276 (1926).

    Google Scholar 

  4. Hetényi M. Bull. Int. Assoc. Bridge Eng. 5 (1938).

    Google Scholar 

  5. Reissner E. J. Math. Phys. 25 (1946).

    Google Scholar 

  6. Langer R. E. Trans. Amer. Math. Soc. 37 (1935).

    Google Scholar 

  7. Jacobsen A. ‘Beitrag zur Theorie der Kugelschale auf Einzelstutzen’ Ingen-Arch. 8 (1937).

    Google Scholar 

  8. Leckie F. A. & Penny R. K. Welding Res. Council Bulletin No. 90 (1963).

    Google Scholar 

  9. Lowell H. H. N.A.S.A. Tech. Rep. No. R-32.

    Google Scholar 

  10. Leckie F. A. J. Mech. Eng. Sci. 3 (1961).

    Google Scholar 

  11. Rose R. T. ‘New Design Method for Pressure Vessel Nozzles’, The Engineer 214 (1962) 90.

    Google Scholar 

  12. Peterson R. E. Stress Concentration Design Factors (Wiley, 1959).

    Google Scholar 

  13. Flügge W. Stresses in Shells (Springer-Verlag, 1960).

    Book  Google Scholar 

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© 1967 M. B. Bickell and C. Ruiz

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Bickell, M.B., Ruiz, C. (1967). Spherical Shells. In: Pressure Vessel Design and Analysis. Palgrave, London. https://doi.org/10.1007/978-1-349-00129-3_6

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  • DOI: https://doi.org/10.1007/978-1-349-00129-3_6

  • Publisher Name: Palgrave, London

  • Print ISBN: 978-1-349-00131-6

  • Online ISBN: 978-1-349-00129-3

  • eBook Packages: EngineeringEngineering (R0)

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