This paper gives the solutions of the transversely isotropic consolidation under both vertical and tangential traffic loadings. Based on Biot’s theory for transversely isotropic clay

the general solutions have been previously derived by applying the Laplace-Hankel transform. By using the inverse Laplace-Hankel transform

pore water pressure and settlement are obtained. The obtained numerical results demonstrate that at the early stage of the consolidation

the tangential loading will have the non- neglectable influence on the settlement. Moreover

the surface settlement under the time-dependent cyclic loading

which is used here to simulate the traffic loadings

always lags behind the loading period.