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doi:10.1016/0020-7403(91)90078-H 
Copyright © 1991 Published by Elsevier Science Ltd.
Limit load analysis of a semi-infinite beam on rigid foundation
Received 30 May 1990;
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Abstract
The limit load response of a semi-infinitely long elastic beam resting on a rigid foundation is investigated based on a small strain, large displacement formulation. Three applied loading conditions on the free end are considered, namely, a concentric fixed force and a moment, an eccentric fixed force, and an eccentric follower force. It is found that the results for the two fixed force cases can be taken as equivalent and will differ in general from the follower force case. For the follower force case, the limit loads are obtained only for negative eccentricity (i.e. point of force application displaced towards the rigid foundation). For the fixed force cases, with large upward inclination of the applied load, the limit load corresponding to the lowest mode of deformation does not exist. The limit load is larger for the case of positive eccentricity than negative eccentricity. A slight change in the angle of inclination of the applied load has a more significant effect on the limit load than a slight change in the eccentricity of the load. An increase in the superimposed uniformly distributed load on the beam increases the limit load substantially and has the effect of reducing the uplift length.
