The Study on Differential Equations Method for Solving Column-Pile Structural System Internal Forces

Abstract

Based on material mechanics theory that loads-internal force-deformation relationship of rod, this paper establish elastic foundation beam model, and establish loads-internal force-deformation differential equation of piles and columns, and identified boundary conditions according to mechanical analysis of piles and columns, Based on the boundary conditions, deformation coordination and internal force equilibrium conditions, solving differential equations, then obtain column - pile components’ internal forces. This method has good mechanical model support, and using mathematical computing software can derive the analytical expressions.