Abstract The deformation of the longitudinal joint with a complex structure in shield tunnel is closely related to its internal force and highly nonlinear under eccentric compression. A reasonable value of the bending stiffness of joint is vital for the design of the segment ring of shield tunnels with the beam-spring model. The analytical formulas of calculating the deformations at different deforming modes based on the existed model were presented for the double-padded longitudinal joints under a constant axial force. The angles of rotations measured in the joint bending tests were compared with the calculated results with a good agreement. A non-linear equation system for the joints stiffness was derived considering the stiffness difference between the joints and the segment and using the formulas for the internal force of the segment ring and the one for different deformation modes of the joints. The non-linear equation system was solved with the fix-point iteration programme utilizing the software Maple. Reasonable stiffness values of the joints were obtained after several trial calculations with the iteration programme.
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Received: 16 August 2013
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