Calculation of Internal Force and Displacement of Lattice Beam Considering Slope Friction

Abstract The existing calculation methods of internal force and displacement of lattice beams do not consider the frictional resistance between beams and slopes, which leads to the large cross‐section and reinforcement of beams and unnecessary waste. In this paper, based on the mechanical characteristics of slope lattice anchor supporting structure, based on the Winkler elastic foundation model, the mechanical analysis model of lattice beam is established, and the basic differential equations are given. The differentiator series method is used to solve the equations, and the analytical solutions of displacement and internal force of lattice beam are obtained. The theoretical calculation method and formula of internal force and deflection of lattice beam are proposed, which can consider the frictional resistance between lattice beam and slope surface and the influence of load distribution of lattice beam node. Through the analysis and comparison of the calculation results of engineering examples, its correctness is verified. The research results have important guiding significance for the optimization design of lattice anchor supporting structure and the reduction of engineering cost.