Abstract
A variety of cable structures are supposed to be analyzed in the displacement method. In this study, the elastic catenary is considered to be utilized as a displacement-method element. The flexibility relations are studied, in relation with its potential, and especially on the singularity exhibited in a veritically hanging state. A counter treatment of those singular states is presented to deal with any configurations of a cable structure. In the solution procedure, one iteration method is introduced to obtain the tension components in each of the elements at any nodal positions, both theoretically and in numerical examples.