Simple statically indeterminate truss (linear, nonlinear and stochastic approach)

Abstract

This contribution deals with simple planar and statically indeterminate pin-connected truss. This truss contains 3 members. The ways and methods of derivations and solutions according to theories of 1st and 2nd order are shown. There are applied linear and nonlinear approaches and their simplifications via Maclaurin's series. Programming connected with stochastic Simulation-Based Reliability Assessment Method (i.e. direct Monte Carlo Method) is used for determination of probabilistic reliability assessment (i.e. calculation the probability that plastic deformation occur in members of truss). Finally, the errors of all approaches are evaluated and compared.