The effect of underlying tunneling on existing tunnel is of great concern because the newly built tunnel can induce longitudinal deformation of existing tunnels. A prediction model based on the method of beam on Kerr elastic foundation is proposed. The existing tunnel is simplified as Euler-Bernoulli beam and Timoshenko beam
respectively
to consider the effect of the tunnel shear stiffness on the longitudinal settlement caused by the underlying tunneling. The impact of underlying tunneling on the existing tunnel is taken as Gauss-distributed loading. The proposed prediction method is then verified with the centrifuge results from the reference. The effects of volume loss
load distribution
relative bending rigidity between shield tunnel and ground and tunnel shear strength on the longitudinal settlement of existing tunnel caused by underlying tunneling are investigated
respectively. The results of Timoshenko beam are consistent with those of Euler-Bernoulli beam when the tunnel shear strength is big enough. The proposed method is more feasible for the tunnel with the bending rigidity greater than 7.54×106kN?m2. The effect of tunnel shear strength is very significant when the equivalent shear strength ratio is less than 1/4. The proposed method is finally validated using the field monitoring in Shanghai.