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a.) Prepare ground reaction curves (GRC) for elastic and elastic-plastic response in the above problem. Superimpose the two GRCs on the same x-y scale. Note the internal pressure below which plastic response occurs. b.) Now, assume a decision was made to excavate the tunnel opening using a pressure balance TBM that applies pi' and installs lining at a distance 2R back from the face. In your analysis, assume pi' = 100 kPa. Using the LDP and GRC, determine what the pre-convergence (convergence prior to lining placement) will be at x = 2R. c.) Using the LDP and GRC, determine what internal support pressure pi' is required to limit pre-convergence to 25 mm.

a.) Prepare ground reaction curves (GRC) for elastic and elastic-plastic response in the above problem. Superimpose the two GRCs on the same x-y scale. Note the internal pressure below which plastic response occurs. b.) Now, assume a decision was made to excavate the tunnel opening using a pressure balance TBM that applies pi' and installs lining at a distance 2R back from the face. In your analysis, assume pi' = 100 kPa. Using the LDP and GRC, determine what the pre-convergence (convergence prior to lining placement) will be at x = 2R. c.) Using the LDP and GRC, determine what internal support pressure pi' is required to limit pre-convergence to 25 mm.

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A 6 m diameter tunnel is to be excavated at a depth of 50 m in a dry, homogeneous soil (y=20 kN/m3, Ko = 1.0). The opening will have zero internal pressure, i.e., it will be excavated with an open mode TBM. When assuming isotropic elastic behaviour, use E = 150 MPa, v = 0.30. When assuming elastic-plastic ground behaviour, use E = 150 MPa, v = 0.30, p' = 35°, c'= 25 kPa, y = 20°. a.) Prepare ground reaction curves (GRC) for elastic and elastic-plastic response in the above problem. Superimpose the two GRCS on the same x-y scale. Note the internal pressure below which plastic response occurs. b.) Now, assume a decision was made to excavate the tunnel opening using a pressure balance TBM that applies pi' and installs lining at a distance 2R back from the face. In your analysis, assume pi' = 100 kPa. Using the LDP and GRC, determine what the pre-convergence (convergence prior to lining placement) will be at x = 2R. c.) Using the LDP and GRC, determine what internal support pressure pi' is required to limit pre-convergence to 25 mm.
Transcribed Image Text:A 6 m diameter tunnel is to be excavated at a depth of 50 m in a dry, homogeneous soil (y=20 kN/m3, Ko = 1.0). The opening will have zero internal pressure, i.e., it will be excavated with an open mode TBM. When assuming isotropic elastic behaviour, use E = 150 MPa, v = 0.30. When assuming elastic-plastic ground behaviour, use E = 150 MPa, v = 0.30, p' = 35°, c'= 25 kPa, y = 20°. a.) Prepare ground reaction curves (GRC) for elastic and elastic-plastic response in the above problem. Superimpose the two GRCS on the same x-y scale. Note the internal pressure below which plastic response occurs. b.) Now, assume a decision was made to excavate the tunnel opening using a pressure balance TBM that applies pi' and installs lining at a distance 2R back from the face. In your analysis, assume pi' = 100 kPa. Using the LDP and GRC, determine what the pre-convergence (convergence prior to lining placement) will be at x = 2R. c.) Using the LDP and GRC, determine what internal support pressure pi' is required to limit pre-convergence to 25 mm.
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