Abstract：Firstly anchoring body of prestressed cable is discretized，and prestressed cable system is decomposed into two parts，anchoring body and rock，which are investigated separately. Secondly，the 3D stress of arbitrary point of rock is calculated based on Mindlin stress solution and stress superposition principle. The deformation of arbitrary point of rock under prestress loading is determined according to modified layered summation, and the deformation of anchoring body is obtained according to loading transfer differential equation. Then，the compatibility equation group of loading and deformation is established. Lateral resistance distribution and deformation character of prestressed cable is obtained with iterative method. A case calculation with comparison with test results shows that the presented methodology is reasonable.
