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Fig. 12.19. Compatibility between the computed embankment slide massdisplacements
and the equivalent constant restrainingforce from the pile foundation
These and other results suggest that the recommended pinning analysis procedures pro-
vide a reasonable design approach for estimating the relative effect that pinning forces
can have on embankment displacements. Despite the approximations and uncertainties
involved,themethodologycanbeusedtobrackettherangeoflikelypinningeffectswith
sufficient accuracy for decision making in many situations. In other situations, dynamic
numericalanalysesmayprovideinsightsintothesystemresponsecharacteristicsthatare
valuable enough to warrant the additional engineering costs. For either analysis method,
the final design must account for the significant uncertainties involved in predicting
liquefaction-induced ground displacements, as previously discussed forlateral spreads.
4. Other issues and considerations
The response of the global bridge system for the liquefaction case needs to be evalu-
ated after the individual bents and abutments have been evaluated as local systems. A
dynamic analysis of the global bridge system is often performed for the nonliquefac-
tion case (e.g., Caltrans, 2006), in which the soil is often represented by spring elements
attached to the structure model. A dynamic analysis of the global bridge system for the
liquefaction case is far more complicated because the inclusion of dynamic ground dis-
placements requires some type of continuum modeling for the soil profile. Alternatively,
an equivalent static analysis of the global bridge system for the liquefaction case may be
performed wherein a number of different possible loading combinations would need to
be considered; for example, liquefaction effects at one or more locations in combination
withinertiademandsindifferentdirections.Thedevelopmentofimprovedguidelinesfor
analysesofglobalbridgesystemsfortheliquefactioncaseisanareaofongoingresearch.
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