Abstract

Using the mechanics of layered composite materials, a model and an analytical solution of the equilibrium equations for the reinforcement elements of a cable-stayed cable used in special structures for overlapping building structures are constructed. The dependence of its stress-strain state on the error in the location of the connection unit to the structure is investigated. It is taken into account that the rope is composed of a system of regularly spaced, rectilinear, linearly elastic elements in tension, pressed into a rubber sheath. Reinforcement elements are pivotally attached to the structure. Defects in cable-stayed rope attachment cause local disturbance of the stress-strain state. Extreme stress values are reached in the section of the action of the factor that caused the disturbance. Such a factor is the elongation of the cables, due to the deviation from the design location of the node for connecting the cable to the structure. The stress state of the rope depends on the combination of the angles of rotation of the nodes of its connection. The opposite directions of turns of the rope sections are more dangerous. Strength conditions for reinforcement elements and elastic material are formulated. The conditions take into account the likelihood of combinations of permissible rotations of the rope attachment nodes relative to the design ones. The results obtained reveal the mechanism of influence of errors in the connection of the rope of structures on its stress-strain state. They make it possible to determine the permissible error of connecting the ends of the rope to the structure and to increase the safety of its use.

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