Abstract: It is assumed that bedding value has a longitudinal relationship with depth in single layer of soil with well consideration to the inhomogeneous soils in the engineering practice. And power series solutions, with well consideration to P-Δ effect, are derived respectively for displacement and stress calculation of the pile section above the ground and that of pile section in a homogeneous layer of soil. And matrix methods are incorporated in the derivation of such solutions. Procedures of how to calculate the horizontal placement and stress of piles in layered soils under eccentric and inclined loads, moment of force, gravity of pile, pile-soil friction and distributed load, are presented. Finally, case analysis is done and power series solutions is proved good and practical.

Key words: pile foundation, single pile, eccentric and inclined loads, layered soils, power series solutions, P-&Delta, effect