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Report - Oregon State Library: State Employee Information Center ...

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7.0 DEFORMATION ANALYSIS OF EMBANKMENTS<br />

7.1 INTRODUCTION<br />

The application of performance-based seismic design specifications is becoming routine for<br />

transportation applications. Requisite input for this method design includes the definition of limit<br />

states for the structure and/or components being evaluated (allowable force-deformation limits).<br />

As applied to embankments and approach fills tolerable permanent deformations are defined.<br />

Therefore, engineers require practice-oriented design tools for evaluating earthquake-induced<br />

deformations of earth structures. Simplified procedures for estimating deformations of slopes in<br />

competent soils have been well developed over the past three decades. However, equivalent<br />

methods are still in development for estimating displacements of earth structures built with or on<br />

soils that lose appreciable strength during earthquake shaking. Also, at many bridge sites the<br />

prevalence of weak soils necessitates the application of soil improvement for mitigating seismic<br />

and geologic hazards.<br />

In order to effectively retrofit a bridge foundation sited on or adjacent to liquefiable soil deposits,<br />

it is necessary to determine the location and lateral extent of the soil that should be treated by<br />

ground improvement techniques. Clearly, the cost and effectiveness of the ground treatment will<br />

depend on the volume of soil to be improved. There are currently few guidelines for relating the<br />

volume of soil treatment to the anticipated seismic performance of earth structures. Predicting<br />

the amount of deformation at a site and the extent and effectiveness of the soil improvement<br />

requires a method for evaluating the deformation produced by the earthquake before and after<br />

ground treatment. Since acceptable performance is usually defined in terms of limiting<br />

deformations below some critical value, assessment of ground improvement strategies depends<br />

on the engineer’s ability to analyze likely deformations of deposits including liquefiable soils.<br />

Guidelines for evaluating both the magnitude and pattern of deformations of earth structures<br />

caused by strong ground motions are limited. Traditionally, the static factor of safety (FS)<br />

computed using limit equilibrium procedures has been used as an indicator of the anticipated<br />

seismic slope stability. These analyses often employ a lateral inertial force intended to represent<br />

the effects of the earthquake motions on the stability of the slope. The pseudostatic methods of<br />

analysis and the associated sliding-block deformation procedures have been described in the<br />

literature (Kramer 1996) and will not be thoroughly addressed here. Primary limitations of the<br />

pseudostatic method of analysis for performance-based design are that: (1) the influence of<br />

excess pore pressure generation on the strength of the soil can only be handled in a de-coupled<br />

manner; (2) the relative motion of the slide mass is confined to a single slip plane therefore the<br />

pattern of deformations cannot be assessed directly; (3) the sliding block method cannot be<br />

applied for cases with static and/or dynamic FS < 1; and (4) the sliding block method can result<br />

in negligible permanent displacements for cases where the yield acceleration has not been<br />

exceeded, despite evidence that soil yielding prior to reaching the limit state can result in<br />

significant deformations. The latter two topics will be addressed in subsequent sections of this<br />

chapter. These limitations can be overcome with the use of numerical modeling procedures.<br />

117

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