Skip to main content
SpringerLink
Log in

Load transfer from a web to two parallel sheets

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

This paper deals with the elastostatic transfer of a tensile load from an infinite strip-shaped web of uniform rectangular cross section to two identical parallel sheets of infinite extent. The web is perpendicular to the sheets and is continuously bonded to the latter along finite portions of its “top” and “bottom” edges. The sheets are treated within the two-dimensional theory of generalized planes stress. On the other hand, two alternative models for the web are considered: (a) the web likewise is regarded as a two-dimensional continuum within the conventional theory of generalized plane stress and (b) the web is idealized as a one-dimensional elastic continuum. In either case, an integral equation with a Cauchy-type singular kernel is obtained for the density of the bond force between the web and the sheets. This equation, in turn, is reduced to a Fredholm integral equation of the second kind. Numerical results for the axial force in the web and the bond force are presented for several combinations of the governing material and geometrical parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Melan, E., Ingenieur Archiv. 3 (1932) 123.

    MATH  Google Scholar 

  2. Muki, R. and E. Sternberg, J. of Appl. Mechanics, 35 (1968) 737.

    Google Scholar 

  3. Bufler, H., Öst. Ingen. Arch., 18 (1964) 284.

    MATH  MathSciNet  Google Scholar 

  4. Muki, R. and E. Sternberg, J. of Appl. Mechanics, 34 (1967) 679.

    Google Scholar 

  5. Koiter, W. T., Quarterly J. of Mech. Appl. Math. 8 (1955) 164.

    MATH  MathSciNet  Google Scholar 

  6. Pflüger, A., Z. angew. Math. Mech., 25–27 (1947) 177.

    Google Scholar 

  7. Benscoter, S. U., J. of Appl. Mechanics, 16 (1949) 242.

    MATH  MathSciNet  Google Scholar 

  8. Bufler, H., VDI-Forschungsheft, 485 B, 27, (1961).

    MATH  Google Scholar 

  9. Timoshenko, S. P. and J. N. Goodier, Theory of Elasticity, 3rd Ed. McGraw-Hill, London-New York, 1969.

    Google Scholar 

  10. Muskhelishvili, N. I., Singular Integral Equations, translated from the Russian by J. R. M. Radok, P. Noordhoff N.V., Groningen, 1953.

  11. Tranter, C. J., Integral Transforms in Mathematical Physics, John Wiley, New York 1956.

    Google Scholar 

  12. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, NBS 1964.

Download references

Author information

Authors and Affiliations

  1. California State Polytechnic College, Pomona, Cal., USA

    H. Y. Fan

  2. University of California, Los Angeles, Cal., USA

    R. Muki

Authors
  1. H. Y. Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Muki
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fan, H.Y., Muki, R. Load transfer from a web to two parallel sheets. Appl. Sci. Res. 25, 1–25 (1972). https://doi.org/10.1007/BF00382281

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00382281

Keywords

Search

Navigation