Calculation of Precast Prestressed Beam with Variable Cross-Sections on Pasternak Foundation under Anchoring Force

The precast prestressed frame beams with variable cross-sections and anchor cables are a novel support system in slope reinforcement. To design and construct the novel support system requires calculating internal forces and displacements for precast prestressed frame beams with variable cross-sections under anchoring force, but the relevant method lags behind engineering practice. The interaction problem between precast prestressed frame beams with variable cross-sections and soil can be idealized as a problem of prestressed foundation beams with variable cross-sections. In this article, a method for calculating internal forces and displacements of prestressed beams with variable cross-sections on Pasternak foundation was proposed by the finite difference theory. Field tests and numerical simulations were conducted based on the slope reinforcement project using precast prestressed frame beams with variable cross-sections and anchor cables on the Mengping highway. Bending moments obtained from analytical method, field tests and numerical simulations are basically consistent, which proves the feasibility of the derived calculation method.