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

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significant vibration at approximately 3.187 Hz. The approach spans is muchstiffer than <strong>the</strong> cable-stayed span. Their interaction during earthquakes is weak.7. Based on sensitivity analysis, <strong>the</strong> key parameters affecting <strong>the</strong> modal properties <strong>of</strong><strong>the</strong> bridge are <strong>the</strong> mass density <strong>of</strong> concrete and boundary conditions. The massdensity <strong>of</strong> concrete, specified in bridge drawings, appear underestimated by 6.7%.They need to be increased in order to match <strong>the</strong> natural frequencies <strong>of</strong> <strong>the</strong> 3-Dmodel with <strong>the</strong>ir respective measured data. Except for expansion conditions, <strong>the</strong>use <strong>of</strong> o<strong>the</strong>r boundary conditions at bases <strong>of</strong> all piers changes <strong>the</strong> naturalfrequency <strong>of</strong> <strong>the</strong> main bridge by less than 5%.8. The computed natural frequencies <strong>of</strong> <strong>the</strong> 3-D FE model agree well with thosefrom field measured data. The maximum error <strong>of</strong> <strong>the</strong> first 31 significant modes iswithin 10%. For mode shapes, however, slight differences exist between <strong>the</strong>computed and <strong>the</strong> measured values. One <strong>of</strong> <strong>the</strong> reasons for <strong>the</strong>se differences isthat <strong>the</strong> exact locations <strong>of</strong> all accelerometers deployed on <strong>the</strong> bridge are unknown.Never<strong>the</strong>less, <strong>the</strong> mode assurance criterion index between a computed modeshape and its corresponding measured one is above 0.888 for <strong>the</strong> first eightmodes. This indicates that <strong>the</strong> 3-D FE model is fairly accurate for engineeringapplications.9. Time history analysis indicates that an earthquake excitation <strong>of</strong> higher peakacceleration does not necessarily induce a stronger response. The maximumresponse does not necessarily occur in <strong>the</strong> same direction <strong>of</strong> <strong>the</strong> bridge underdifferent earthquake excitations but depends on <strong>the</strong> earthquake characteristics, <strong>the</strong>modal properties, and mass distribution.10. All cables behave elastically under a design earthquake. Their factor <strong>of</strong> safety islarger than 2.35 at all times. On <strong>the</strong> o<strong>the</strong>r hand, <strong>the</strong> cable subjected to least stressis always in tension, ensuring no slack occurrence during <strong>the</strong> earthquake.Therefore, cables can be simplified as linear elements for seismic analysis.11. The solid section <strong>of</strong> both towers at <strong>the</strong> lower portion is generally more criticalthan <strong>the</strong> hollow section <strong>of</strong> <strong>the</strong> upper portion above <strong>the</strong> cap beams. The in-planebehavior <strong>of</strong> two towers is always in elastic range under <strong>the</strong> design earthquakewith a wide margin <strong>of</strong> safety. Similarly, for out-<strong>of</strong>-plane behavior, <strong>the</strong> upperportion <strong>of</strong> <strong>the</strong> towers above <strong>the</strong> cap beams remains nearly elastic with asignificant margin <strong>of</strong> safety. The lower portion <strong>of</strong> <strong>the</strong> towers, however, likelyexperiences moderate yielding out <strong>of</strong> plane during <strong>the</strong> design earthquake though<strong>the</strong> safety <strong>of</strong> <strong>the</strong> bridge is not a concern.7.2 Future researchThe seismic instrumentation system was installed and put in operation in December 2004.Since <strong>the</strong>n, acceleration data from ambient vibration have been collected continuouslyfrom <strong>the</strong> <strong>Bill</strong> <strong>Emerson</strong> <strong>Memorial</strong> Cable-stayed <strong>Bridge</strong>. The current study only addressedone way <strong>of</strong> using <strong>the</strong>se data for structural assessment <strong>of</strong> <strong>the</strong> bridge under a projecteddesign earthquake.94

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