Abstract：Rock bolts have been extensively used as an effective reinforcement means of tunnels and mining engineering projects. The existing analytical method is only available for the mechanical analysis of the point anchored rockbolt in a circular tunnel. Based on the analytical function of a concentrated force at an arbitrary point in the surrounding rock of a deep buried elliptical tunnel，explicit solutions of stress and displacement were deduced and explicit expressions of stress and displacement subjected to multiple concentrated forces were also obtained based on the superposition principle. Considering the displacement caused by tunnel excavation，the linear equations for solving the axial force of the point anchored rockbolt were established according to deformation coordination conditions，and the axial force distribution of each bolt with or without a pre-tightening force was obtained. The analytical solution obtained was verified by ANSYS software. Finally，the influences of the stiffness，anchor length and pre-tightening force on the axial forces were discussed.
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2019, Vol. 38 
