The analytical solution of a single pipe pile under axial and lateral loads is presented
when the lateral load is optional free load. As pile foundation is becoming a preferred foundation type in high buildings and wide-span bridges
piles usually work under simultaneous axial and lateral loads(inclined loads) in engineering
then increasing efforts is being focused on the behavior of piles under inclined loads. Semi-empirical formula and Zhang’s formula have been used to calculate pile’s behavior under inclined loads by scholars at home and abroad through practical and theoretical studies. To analyze the function of free loads to pipe piles under inclined load conditions
on the basis of m method
deformation differential equation of elastic piles under inclined loads is established first with analytical method. Differential equation has two parts according to the piles in the earth or in the air
and lateral deformation
obliquity
moment
shearing force of the piles can be gotten respectively by solving the equations. Finally
influences of the top axial loads
the top lateral loads and the free loads
on several parameters are analyzed; and their influence curves are given.