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Seismic Design of Tunnels - Parsons Brinckerhoff

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general, flexibility can be achieved by using ductile reinforcement at critical joints. In<br />

contrast, increasing the thickness <strong>of</strong> the members makes the structure less flexible. The<br />

special structural details suggested by Kuesel and the plastic-hinge design specified by<br />

Monsees and Merritt are in fact based on this philosophy.<br />

Another design concept that can increase the flexibility <strong>of</strong> the cut-and-cover box<br />

structure is to specify pinned connections at walls/slabs joints. This design detail<br />

becomes attractive when c<strong>of</strong>ferdam retaining structures are used as permanent walls<br />

because pinned connections are less difficult to build than fixed connections in this case.<br />

Applicability <strong>of</strong> the Free-Field Racking Method<br />

The free-field deformation method serves as a simple and effective design tool when<br />

the seismically induced ground distortion is small, for example when the shaking intensity<br />

is low or the ground is very stiff. Given these conditions, most practical structural<br />

configurations can easily absorb the ground distortion without being distressed. The<br />

method is also a realistic one when the structure, compared to its surrounding medium, is<br />

flexible.<br />

Cases arise, however, when this simple procedure leads to overly conservative<br />

design for box structures. These situations generally occur in s<strong>of</strong>t soils. <strong>Seismic</strong>ally<br />

induced free-field ground distortions are generally large in s<strong>of</strong>t soils, particularly when they<br />

are subjected to amplification effects. Ironically, rectangular box structures in s<strong>of</strong>t soils are<br />

generally designed with stiff configurations to resist the static loads, making them less<br />

tolerant to racking distortions. Imposing free-field deformations on a structure in this<br />

situation is likely to result in unnecessary conservatism, as the stiff structure may actually<br />

deform less than the s<strong>of</strong>t ground. An example to demonstrate the effect <strong>of</strong> structure<br />

stiffness on racking deformation is given below.<br />

Examples<br />

Soil Parameters. In this example a simplified subsurface pr<strong>of</strong>ile is used in the free-field<br />

deformation analysis and the soil-structure interaction analysis. Figure 22 shows the soil<br />

stratigraphy <strong>of</strong> this pr<strong>of</strong>ile. Shear wave velocities are used to represent the stiffness <strong>of</strong> the<br />

soil layers overlying the bedrock. For parametric study purposes, the analysis is<br />

performed for two cases with the silty clay layer being represented by a shear wave<br />

velocity <strong>of</strong>:<br />

92

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