Abstract
Trees are commonly guyed and used as spars to increase the capacity of cable logging systems in mountainous terrain. Spar response to loading is complex because of nonlinearities due to cable behavior, beam-column loading of the spar, and the geometric effects of large spar deflections. A numerical procedure has been developed to determine spar deformation and the resulting state of stress in the spar and the guylines due to the application of static loads. The Newton-Raphson algorithm is utilized to determine spar position which is denned by force equilibrium. A numerical damper is required to assure convergence. The problem is formulated using the finite element procedures where the spar is treated as an assemblage of three-dimensional beam elements, the guylines are modeled as nonlinear springs, and spar base fixity is provided by a linear rotational spring. The details of the solution method and an example problem are presented.
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