Implementation of the Weak Link Problem for Trusses

This article examines the application of theory critical strain energy levels to determination limiting states rod systems. A redundant truss is chosen illustrate peculiarities changes in self-stressing structure at levels. The removal ties when they reach their stress or limits leads a change state self-stress structure, which illustrated by rods trusses. matrix notation governing equations for allows us visualize both formulation problem and course its solution. We present algorithm solving weak link example five-core truss. basic structural mechanics are given, allowing implement determine unknown parameters form method displacements forces. mathematical model presented an eigenvalues problem, investigate extreme properties structure’s whole area admissible parameter values, including boundaries. eigenvectors make it possible values nodal reactive forces displacements, depending on problem. internal deformations depend vectors external influences. applied design load balanced system remains unchanged. follows from equality work part potential structure. remaining find limit response actions. Additional actions can lead bearing capacity lost if exceed response. Examples show finding identifying that will be first fail under loads. matrices stiffness flexibility formed, found, allow construction surface allowable influences