Abstract: The Flamant solution is improved through a symmetric treatment to obtain accurate displacement fields of a rigid foundation with a frictionless base subjected to uniformly distributed loads. The modified version of the Flamant solution gives results in good agreement with the results obtained by the finite element simulation. It is shown that the original and modified Flamant solutions provide different horizontal and vertical displacements. However, both solutions give similar magnitudes and spatial patterns of the relative settlements when the zero-displacement-point is near the region where the loads are applied.