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Large deflections of an end supported beam subjected to a point load. (English) Zbl 0886.73022
Summary: We investigate a class of large deflection beam problems where one end of the beam is being held while the other end portion is allowed to slide freely over a frictionless support fixed at a distance from this end. The elastic beam is subjected to a point load. This highly nonlinear problem is solved using both the elliptic integral method and the shooting-optimization technique, thus providing independent checks on the solutions. This kind of problem has the following features: (1) possibility of two equilibrium solutions for a given load magnitude; and (2) a maximum (or critical) load and a maximum deformed arc-length for equilibrium.

MSC:
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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