Solving Internal Forces of Piles of Jointless Bridges under the Action of Temperature Using Ordinary Differential Systems

Abstract

Temperature effect has a great effect on the force and deformation of bridge abutments, piles and filling at back abutment of jointless bridges. It’s necessary to definitude calculation model when using the finite element method to analyze these matter, but there is still no scientific approach to design jointless bridges. A method that solving internal forces of piles of jointless bridges under the action of temperature using ordinary differential equations is advanced in this paper. Differential equation of each rod of jointless bridges is established based on material mechanic, and then all differential equations form a differential systems. The internal force and deformation of the bridge are getted by solving differential equations based on boundary conditions, deformation coordination of rod coupling points and internal force equilibrium conditions, which is clear and definite.