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RESEARCH PAPERS

Steady-State Responses of a Beam on Idealized Strain-Hardening Foundations for a Moving Load

[+] Author and Article Information
T. M. Mulcahy

Theoretical and Applied Mechanics Section, Argonne National Laboratory, Argonne, Ill.

J. Appl. Mech 40(4), 1040-1044 (Dec 01, 1973) (5 pages) doi:10.1115/1.3423122 History: Received August 01, 1972; Revised March 01, 1973; Online July 12, 2010

Abstract

The steady-state responses to a point load moving with constant velocity on an elastic beam which rests on two types of idealized strain-hardening foundations are considered. The one-dimensional elastic-rigid foundation problem is shown to be equivalent to an elastic foundation with two traveling point loads. The opposing loads produce deflections which remain bounded for all load velocities and less than the corresponding elastic foundation results. The deflections of a one-dimensional elastic-perfectly plastic foundation are shown to be bounded for all load velocities. However, deflections significantly larger than the corresponding elastic foundation results occur over a wide range of velocities which are less than the elastic foundation critical velocity.

Copyright © 1973 by ASME
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