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The surface area of a screw

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Summary

In this paper formulae are derived for the surface area of a right cylindrical screw having as cross-section edge straight lines and/or circular segments. These formulae involve the non-elementary functions of the incomplete elliptic integral of the first, second and third kinds. These integrals are tabulated in the literature.

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References

  1. Byrd, P. F. and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists, Springer, Berlin, 1954.

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  2. Jahnke, E. and F. Emde, Tables of Functions with Formulas and Curves, Dover, New York, 1945.

  3. Selfridge, R. G. and J. E. Maxfield, A Table of the Incomplete Elliptic Integral of the Third Kind, Dover, New York, 1958.

  4. Struik, D. J., Lectures on Classical Differential Geometry, Addison-Wesley Press, Cambridge, Mass., 1950.

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Authors and Affiliations

  1. Naval Ordnance Test Station, China Lake, California, USA

    John E. Maxfield & R. G. Selfridge

Authors
  1. John E. Maxfield
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  2. R. G. Selfridge
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Maxfield, J.E., Selfridge, R.G. The surface area of a screw. Appl. sci. Res. 8, 377–385 (1959). https://doi.org/10.1007/BF00411763

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  • DOI: https://doi.org/10.1007/BF00411763

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