Abstract:The rock mass in natural state is a discontinuous anisotropy mass,therefore,if rock mass is still regarded as isotropy mass,it will not agree with the actual situation. In general analysis of engineering cases,anisotropy material includes orthotropy material and transverse isotropy material. In order to study the interaction between transverse isotropy rock mass and supporting structure,engineering geology of the slope at an expressway project is considered. Then,the laboratory tests for rock samples from field were carried out;and the uniaxial compression tests for rock samples with different stratification planes are performed to determine the indices of describing elasticity characteristics of transverse isotropic rock. Based on the theory of stress-strain relationship of transverse isotropy rock mass,the analytical model of interaction between rock mass transverse isotropy of slope and prestressed anchor cable with frame beam is established;and the notion of the optimum anchorage angle in prestressed anchor cable is presented. The interaction between rock mass transverse isotropy of slope and prestressed anchor cable with frame beam was analyzed with finite element analysis. At the same time,the study on parameters of the interaction between rock mass transverse isotropy of slope and prestressed anchor cable with frame beam and the optimum anchorage angle in prestressed anchor cable is performed. The rules of the influence on directivity of stratification plane of supporting structure are determined. The results show that some reasonable and reliable references and actual engineering experiences on the design of prestressed anchor cable with frame beam supporting for transverse isotropy rock slope can be accepted.