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Report - PEER - University of California, Berkeley

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large rotational response can be explained by noting that both the CR and CV arelocated on the same left hand side <strong>of</strong> CM. On the other hand, the two models withstrength distributions that satisfied the balanced CV-CR location criteria show similarlow rotational response.4. CONCLUSIONSDespite <strong>of</strong> all the codified torsional provisions available, damage caused by excessiverotations has been observed in all recent major earthquakes. One reason may be thatsome <strong>of</strong> the damaged buildings were built prior to the adoption <strong>of</strong> the provisions. It isalso possible that some <strong>of</strong> the damaged buildings were built without attention beingpaid to the codified provisions. A third possible reason may be that the currentprovisions are not as effective as we think. Many parametric studies have been carriedout for the last two decades to validate the provisions. Most <strong>of</strong> them were based onmodels having lateral force resisting elements with independent strength and stiffnessproperties. However, recent studies suggest that code procedures may not be effectivewhen the interdependence <strong>of</strong> strength and stiffness in the resisting elements isconsidered. This issue deserves further investigation.Extending ideas developed on single storey models to multistorey structures canbe problematic. Properties such as strength and stiffness are no longer scalarquantities. It may no longer be possible to use a single value for the plastic centroid orthe rigidity center in the most general case <strong>of</strong> horizontally irregular multistoreystructures. There is hope, however, that those concepts can be applied to specialclasses <strong>of</strong> multi-storey structure that are vertically regular. To classify multi-storeystructures and to extend lessons learned from single mass model studies to specialclasses <strong>of</strong> multi-storey structures remains a challenge. At present, simple shortcuts donot appear to be available for predicting the response, particularly the shear demand,<strong>of</strong> horizontally irregular multistory structures where higher modal contributionsbecome significant.In this age <strong>of</strong> performance-based seismic design, it is only fair to ask thefollowing questions. Are we wiser now than in the days when Rosenblueth andHousner warned the pr<strong>of</strong>ession about the dangers <strong>of</strong> asymmetry? Do we now havebetter design guidelines to mitigate torsional damage due to horizontal irregularity?The answer to the first question is a tentative “may be”. Regarding the answer to thesecond question, we believe that the jury is still out.ACKNOWLEDGEMENTThe support <strong>of</strong> the Natural Science and Engineering Research Council (NSERC) <strong>of</strong>Canada to the second author is gratefully acknowledged.380

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