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.