Static calculation and analysis of spatial rod system

Structural mechanics

An analytical solution of the spatial elastic statically determinate truss is given.

The Maple mathematical system with the inductive method of obtaining solutions for an arbitrary number of rods is used. It allows to estimate the limiting construction properties and to find the characteristic features of truss. The stress and deflection are determined.

The solutions of the problem on the rack-truss and the beam-truss are given. It is shown that in some cases due to the constructive design errors the increase in the number of rods under constant load does not lead to a decrease in deflection. The analytical solution reveals this feature.