The statistical approach to the verification of the beam structures buckling
Britvin E.I., Site Selenasys.com, 2012.
Abstract: According to the current understanding of the loss of stability nature of rod systems, the reason that the rod elements of structures lose stability under the longitudinal forces smaller than Euler's theory predicts, is the presence of small initial random bends and eccentricities when attaching rods. Therefore, even if the rod is centrally compressed, bending moments appear in it and if the fiber stresses at some point exceed the yield strength of the material, the process of buckling begins to develop at a catastrophic rate. In this paper, we propose a statistical approach to verifying the buckling of rod structures - several random samples of irregularities are superimposed on the rod elements, and several calculations are performed for a given load by a P-Delta analysis. After that, by statistical processing of the results for each rod, a conclusion is made about the probability of exceeding the yield strength of the material by the fiber stress.