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.