Equilibrium of an elastic body pierced by horizontal thin elastic bars

A simple mathematical model of a structure consisting of a three-dimensional body and rigid carrying bars is proposed. The estimated characteristics are the deflections of the bars, their reactions averaged over the sections, and the subsidence parameters of the body. The problem formulated on the basis of asymptotic analysis comprises the bending equations of the bars, the equations of equilibrium of the body, and a relation between the reactions and the deflections of the bars. In this problem, in addition to the moment of inertia, another cross-sectional characteristic, namely, the outer conformal radius, is involved. The method of solving the problem and the ways of its generalization are discussed.