Meshless Analysis of a box culvert resting on Modified Vlasov Foundation

In this paper, we compare computational design of box culverts using Kleinlogel’s formulas and three-dimensional models based on Winkler and Modified Vlasov Foundation (MVF) by Radial Point Interpolation method (RPIM) . In order to extend the RPIM to the study of box culverts, a method of decomposition by subdomain and a creation of a fictitious rotation is made. Similar results are observed between the RPIM_Winkler and STAAD PRO (FEM software) with fewer nodes in the case study. The Kleinlogel’s formulas or the Winkler model gives a maximal increase in stresses at the middle of the raft of 5%, and a 12 times increased displacement. Finally, it emerges that for the same type of soil and a single structure, the reaction and shear modulus of the soil are highly dependent on the distribution of loads on the structure.