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Assessment of the Bill Emerson Memorial Bridge - FTP Directory ...

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4.4.4. Connection bearings between towers and decksThe connection <strong>of</strong> <strong>the</strong> deck to <strong>the</strong> towers presents a special challenge to <strong>the</strong> development<strong>of</strong> <strong>the</strong> FE model. Generally, two approaches exist to model bridge bearings as discussed inSAP2000 Manual. One approach is to attach elements to separate joints at <strong>the</strong> samelocation and constrain <strong>the</strong>ir degrees <strong>of</strong> freedom using an “Equal” or “Local Constraint.”The o<strong>the</strong>r approach is to attach several elements to a common joint and use frame elementend releases to free <strong>the</strong> unconnected degrees <strong>of</strong> freedom. The first approach was adopted inthis study. The pot bearings used between steel girders and pier cap beams at Piers 2 and 3were modeled to allow for <strong>the</strong> longitudinal translation and free rotation about any axis. Theearthquake lateral restrainers at <strong>the</strong> center <strong>of</strong> <strong>the</strong> floor beam at Piers 1 to 4 were modeled toprovide lateral restraints between <strong>the</strong> floor beam and <strong>the</strong> cap beam. Two earthquake shocktransmission devices were installed next to each pot bearing, which will limit <strong>the</strong>longitudinal movement in <strong>the</strong> event <strong>of</strong> a strong earthquake but leave it nearly free to moveunder slowly varying conditions such as <strong>the</strong>rmal effects. As such, <strong>the</strong> devices weremodeled in this study as a hinge in <strong>the</strong> longitudinal direction for seismic analysis. Effectivemodeling <strong>of</strong> support conditions at bearings and expansion joints requires carefulconsiderations on <strong>the</strong> continuity <strong>of</strong> displacement components in horizontal, longitudinal,and vertical directions.4.4.5. Foundations in main and approach spansIn <strong>the</strong> <strong>Bill</strong> <strong>Emerson</strong> <strong>Memorial</strong> Cable-stayed <strong>Bridge</strong>, Pier 2 is based on rock. Piers 3 and 4are supported on caissons, which is sufficiently rigid to be modeled as a fixed support.Soil-pile interaction effects can be neglected in <strong>the</strong> cable-stay span. On <strong>the</strong> o<strong>the</strong>r hand,Piers from 5 to 14 in <strong>the</strong> Illinois approach are supported on pedestal pile-groupfoundations. Each pier has two columns and each column is supported by 5 round piles <strong>of</strong>1.83 m (6 ft) in diameter. The length <strong>of</strong> piles varies from 24.1 m to 30.5 m (79 ft to 100 ft).In <strong>the</strong> FE model, <strong>the</strong> soil-pile interaction was simulated by linear dampers and springs invertical, longitudinal, and traffic directions, respectively, as illustrated in Figure 4.3 forsprings. The linear dampers, not shown in <strong>the</strong> figure, were modeled similarly withLink/Damper elements. The spring and damping coefficients <strong>of</strong> soils were listed in Table4.4. Their calculations are detailed in Appendix A.TrafficLongitudinalVerticalFigure 4.3Modeling <strong>of</strong> pile-group foundation for <strong>the</strong> base <strong>of</strong> <strong>the</strong> piers46

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