Generalized Vesic solutions for interaction of buried beams and transversely isotropic layered soils

According to the transversely isotropic elasticity theory and the transfer matrix method, the generalized Vesic solutions for the coefficient of subgrade reaction are obtained by considering the buried depth of beams and the transverse isotropy and layered properties of soils. The rationality and accuracy of the proposed method are validated by numerical examples, and the influences of variation of some parameters on the coefficient of subgrade reaction are analyzed. The results show that the coefficient of subgrade reaction k increases with the increase of the buried depth h to the maximum value, about 2.05 ~ 2.25 times the surface. It decreases with the increase of total soil thickness H and increases with the increase of the transversely isotropic parameter r. When h is 0 or H exceeds 100b or r is 1, the proposed solutions are degenerated to the Vesic solution. In the condition that the weighted-average elastic moduli of soils are the same, the harder the top soil layer is, the larger k is, and the smaller the deviation is when the generalized Vesic solution is used to analyze the finite beams.