Skip to main content
SpringerLink
Log in

Closed-form solutions for funicular cables and arches

  • Note
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Abstract

The analytical solutions for the cable (or arch) of uniform selfweight and uniform vertical load are presented. The solution for the constant stress cable (or arch) is discussed.

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

References

  1. Heyman J.: The Masonry Arch. Horwood, Chichester, England (1982)

    Google Scholar 

  2. Osserman R.: How the gateway arch got its shape. Nexus Net. J. 12, 167–189 (2010)

    Article  MATH  Google Scholar 

  3. Marano G.C., Trentadue F., Petrone F.: Optimal arch shape solution under static vertical loads. Acta Mech. 225, 679–686 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  4. Hill R.D., Rozvany G.I.N., Wang C.M., Leong K.H.: Optimization, spanning capacity, and cost sensitivity of fully stressed arches. J. Struct. Mech. 7, 375–410 (1979)

    Article  Google Scholar 

  5. Tadjbakhsh I.G.: Stability and optimum design of arch-type structures. Int. J. Solids Struct. 17, 565–574 (1981)

    Article  MATH  Google Scholar 

  6. Wang C.M., Rozvany G.I.N.: On plane Prager structures II-non parallel external loads and allowances for selfweight. Int. J. Mech. Sci. 25, 529–541 (1983)

    Article  MATH  Google Scholar 

  7. Serra M.: Optimal arch: approximate analytical and numerical solutions. Comput. Struct. 52, 1213–1220 (1994)

    Article  MATH  Google Scholar 

  8. Wang C.M., Pulmano V.A., Lee S.L.: Cable optimization under selfweight and concentrated loads. J. Struct. Mech. 14, 191–208 (1986)

    Article  Google Scholar 

  9. Teo K.L., Ang B.W., Wang C.M.: Least weight cables: optimal parameter selection approach. Eng. Opt. 9, 249–263 (1986)

    Article  Google Scholar 

  10. Wang C.M., Wang C.Y.: Funicular shapes for submerged arches. J. Struct. Eng. 128, 266–270 (2002)

    Article  Google Scholar 

  11. Fung T.C.: Shapes of submerged funicular arches. J. Eng. Mech. 129, 120–125 (2003)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA

    C. Y. Wang

  2. Department of Civil and Environmental Engineering, National University of Singapore, Kent Ridge, Singapore, 119260, Singapore

    C. M. Wang

Authors
  1. C. Y. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. M. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. Y. Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, C.Y., Wang, C.M. Closed-form solutions for funicular cables and arches. Acta Mech 226, 1641–1645 (2015). https://doi.org/10.1007/s00707-014-1250-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-014-1250-x

Keywords

Search

Navigation