Analytical solution of segment joint model for segmented tunnel lining

To explore the nonlinear behavior and the crush history of the segment joint (without packing materials and with bolts) for the segmented tunnel lining under high load level, a simplified analysis model for the segment joint is introduced. The stress distribution and rotation angle of the joint are deduced at different stages of linear rotation, tension-induced opening and compression-induced yielding. In terms of the bending moment-rotation angle curve and the limit bending moment, the results of the analytic solution of the segment joint are verified through the full-scale tests. It is demonstrated that the nonlinear behaviors of segment joint are captured exactly by the model formula, and the analytical solution can be utilized to trace the initiation and development of opening and crush of the segment joint.