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.