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On the dynamic behaviour of an elastically supported beam of infinite length, loaded by a concentrated force

  • W. L. Esmeijer
Article

Summary

An elastically supported beam of infinite length, initially at rest, carries a variable concentrated force\(\overline K (\overline t )\) at a prescribed point A. General expressions are given for the deflection and the bending moment at A (6.3 and 6.4). Three special cases are considered; the first one is defined by\(\overline K (\overline t )\)=0 for\(\overline t \) and\(\overline K (\overline t )\)=K=const. for\(\overline t \); the second one by\(\overline K (\overline t )\)=0 for 0 >\(\overline t \)>\(\overline t _s \),\(\overline K (\overline t )\) given function of\(\overline t \) for 0⩽\(\overline t \)\(\overline t _s \); the third one applies to problems in which, during the period of impact,\(\overline K (\overline t )\) itself is an unknown. The results given here may be of use in those railway-engineering problems in which a rail can be considered as a beam of infinite length, and in which the supporting ground has the required properties.

Keywords

Elastic Foundation Concentrate Force Infinite Length Impact Problem Railway Wheel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© The Hague Martinus Nijhoff 1949

Authors and Affiliations

  • W. L. Esmeijer
    • 1
  1. 1.Nijverheidsorganisatie T.N.O.Werkgroep TrillingsonderzoekDelft

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