Abstract
The paper describes general calculation theory and elasticplastic behavior of cables - bearing elements of suspension structural systems. It is mentioned that this theory is based almost on the same assumptions as the theory of cable calculation at behavior of material in elastic range, excluding additional supposition in the part of idealization of real dependence between stresses and deformations on account of difficulties with using the latter in actual structures design. For that reason, this dependence is replaced with a model in the form of analytic curve or, as it is accepted to say in this case, a diagram, which is built according to some simple mathematic rule, reflecting element behavior conditions and characteristics of its material. It is stated that four main models of material behavior are used in practice: elastic-plastic, elastic-plastic with linear hardening, rigid-plastic and rigid-plastic with linear hardening. Conditions of occurrence of plastic deformations in all behavior stages of cable cross section are determined. Interrelations for geometrically and physically nonlinear task of the cable at active loading are provided. Methods are given and limit values of loads acting on the cable are determined. Equations defining parameters of cable deflected mode in all deformation phases and conditions of changing phases of cable behavior are given.
Highlights
The paper describes general calculation theory and elastic-plastic behavior of cables – bearing elements of suspension structural systems
The only additional premise is connected with idealization of the stress-strain diagram of real materials, which in reality turns out to be quite complicated for direct application in design calculation
For example, to form a diagram consisting of two inclined straight lines, the first of which corresponds to the elastic part of the behavior of material, and the other, usually having a smaller slope − to plastic one (Fig. 1b)
Summary
It is known that the theory of deformation of plastic cables is based almost on the same assumptions as the theory of calculation of cables during behavior of material within elastic range. Calculated justification of hardening is carried out by appropriate selection of the material behavior diagram It is possible, for example, to form a diagram consisting of two inclined straight lines, the first of which corresponds to the elastic part of the behavior of material, and the other, usually having a smaller slope − to plastic one (Fig. 1b). When the load is reduced, the behavior of the material that has received plastic deformation is described by a law that is fundamentally different from the loading law, namely: when unloading, the material behaves like an elastic body In this case it is customary to extrude the curve of its (material’s) deformation by an inclined straight line parallel to the section of the stretching diagram.
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