The available closed-form solutions for vertically loaded piles have been,
strictly speaking, limited to homogeneous soil, or nonhomogeneous soil with
the shear modulus as a power of depth. The latter solutions-based on a zer
o shear modulus at ground surface-are generally sufficiently accurate for n
ormally consolidated soil. For overconsolidated soil, however, there is gen
erally a nonzero shear modulus at the surface, which may affect pile respon
se. In this note, rigorous closed-form solutions are established to account
for the nonhomogeneity of soil profile with nonzero shear modulus at groun
d surface. The solutions are developed using a load transfer approach, and
are shown to give satisfactory results in comparison with a more rigorous c
ontinuum-based numerical approach, when the proposed load transfer factors
are adopted.