Analytical study of the limiting properties of a suspended cable system with a rigid beam

Abstract

Analytical model of a cable-stayed fan designed bridge is examined. The statically indeterminate cantilever beam suspended on k elastic cables is revealed. The law of distribution of forces in the cables is identified. The obtained dependence of solutions on the number of cables can identify the asymptotic properties of the deflection of the structure and determine the optimal ratio of the size of the system under which the deflection becomes minimum. The algorithm for solving recurrence equations, method of induction and the gamma function are used in the analytic transformations. The exact solutions are obtained by means of computer algebra system Maple.