Abstract
Abstract. The paper presents the theoretical results of improving and refining the general methodology for selecting the cross section of a flexible elastic thread for cable-stayed using the capabilities of computer programs. A technique is proposed for finding the optimal curvature of the cable in the middle of the span by compiling the target function of the cable cost and coverage and determining its minimum. The hanging coating of the building is considered, consisting of parallel-located flexible cables. Coating elements are laid on them. It is assumed that the load is evenly distributed over the curved surface of the coating. With this application of load, the sag curve is adopted as a chain line. In the calculation, two states of the thread are considered. In the first state, it is loaded with a linear load uniformly distributed along its length from its own weight. In the second state, the thread is loaded with the total calculated linear load evenly distributed along its length. To select the cross section of the thread, the maximum longitudinal force arising in it in the second state is determined, which depends on the curvature in the middle of the span. This curvature is determined on the basis that the difference between the lengths of the thread in the first and second states is equal to the elastic elongation according to Hooke's law. Using ordinary algebraic methods, solving the problem is quite complicated. Therefore, it was proposed to solve it using the MathCAD computer system. With the found value of the curvature in the middle of the span, the required cross-sectional area of the thread is calculated. After that, the appropriate rope is selected according to the assortment. To optimize the cable-stayed coating, the optimal curvature in the middle of the span is determined in the first state, at which the total cost of cable-stayed and coating will be minimal. For this purpose, the objective function of the cost of the cable and the coverage that lies on this cable has been compiled. To determine the optimal curvature, it is proposed to accept a series of values of this curvature with some step in a certain range. For each curvature, the value of the objective function is calculated. Using the MathCAD computer system, it is proposed to build the graph of the objective function and find the value of the optimal curvature at which this function has a minimum. After that, it is proposed to find the corresponding optimal sagging arrow. The proposed method allows us to determine the optimal parameters of the hanging coating with parallel cables on the basis of the minimum cost, as well as to calculate the necessary cross-sectional parameters of the flexible cable from the strength condition.
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