Skip to main content
Log in

Formal analysis of elastically supported beam-columns

  • Published:
Ingenieur-Archiv Aims and scope Submit manuscript

Übersicht

Es wird ein Verfahren zur systematischen Untersuchung von elastisch gelagerten Balken-Säulen oder Verbindungs-Stäben angegeben, wobei die Berücksichtigung komplizierter Querlasten durch einen besonderen Rechenformalismus erleichtert wird. Verschiedenartige Beziehungen zwischen der Längslast und der Bettungsziffer werden untersucht; drei Spezialfälle sind diskutiert, wobei die Enden fest-fest, gelenkiggelenkig bzw. frei-frei gelagert sind.

Summary

A method is presented for the systematic analysis of elastically supported beam-columns or tie-bars in which formal notational devices simplify the handling of complicated discontinuous lateral loads. Various relationships between axial load and support modulus are treated and three particular cases (fixed-fixed, pinned-pinned, and free-free ends) are exhibited.

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

Access this article

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

Instant access to the full article PDF.

Bibliography

  1. J. E. Brock, Compact formal analysis of beam columns, AIAA-Journal, 2 (October 1964).

  2. R. J. Brungraber, Singularity functions in the solution of beam-deflection problems, J. of Engineering Education 55 (May 1965).

  3. A. Clebsch, Theorie der Elastizität fester Körper, Leipzig 1862.

  4. M. Hetenyi, Beams on elastic foundation, Ann Arbor 1946.

  5. T. Iwinski, Theory of beams, New York 1958.

  6. G. B. Lowe, Digital computer program for the flexural analysis of beams, Thesis, U.S. Naval Postgraduate School, Monterey, California, 1963.

  7. W. H. Macauley, A note on the deflection of beams, Messenger of Mathematics 48 (January 1919) p. 129.

    Google Scholar 

  8. W. D. Pilkey, Clebsch's method for beam deflections, J. of Engineering Education 54 (January 1964).

  9. W. D. Pilkey, Some properties and applications of singularity functions based on the theory of distributions, J. Franklin Inst. 277 (May 1964).

  10. S. A. Urry, The use of Macauley's brackets in the analysis of laterally loaded struts and tie-bars, AIAA- Journal 1 (February 1963) p. 462.

    Google Scholar 

  11. J. T. Weissenburger, Integration of discontinuous expressions arising in beam theory, AIAA-Journal 2 (January 1946) p. 106.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brock, J.E. Formal analysis of elastically supported beam-columns. Ing. arch 35, 31–38 (1966). https://doi.org/10.1007/BF00532055

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00532055

Keywords

Navigation