The Earthquake Engineering Online Archive

Investigation of sensitivity of building loss estimates to major uncertain variables for the Van Nuys testbed

Porter, Keith A.; Beck, James L.; Shaikhutdinov, Rustem V.

PEER-2002/03, Pacific Earthquake Engineering Research Center, University of California, Berkeley, 2002-08, 41 pages (400/P33/2002-03)

A major component of a building-specific seismic loss analysis is the estimation of repair costs in future earthquakes. A number of uncertain variables contribute to the uncertainty in these cost estimates. Among these are ground-shaking intensity; details of the ground motion; mass, damping, and force-deformation behavior; component fragility; repair methods; contractor's direct costs; and contractor's overhead and profit, among others. This report addresses which of these significantly contribute to the overall uncertainty in future economic performance. Gross sensitivity is examined by measuring the variation (or swing) of the economic performance when each variable is taken at its assumed median value and at its extremes, e.g., the 10th and 90th percentiles. Such a study is undertaken for a 1960s nonductile reinforced concrete moment frame building located in Van Nuys, California, which is one of two buildings studied by the PEER testbeds program. Economic performance is measured in terms of the repair costs associated with the (uncertain) highest shaking intensity the site will experience in the next 50 years. Repair costs are estimated using the assembly-based vulnerability (ABV) method and the site's seismic hazard. The study shows that, among the parameters considered, the top three contributors to uncertainty in earthquake repair cost, in decreasing order, are assembly capacity (i.e., for a building element, the relationship between physical damage and the relevant engineering demand parameter), shaking intensity (measured in the report in terms of damped elastic spectral acceleration, S subscript a), and details of the ground motion conditioned on S subscript a. Uncertainties in parameters of the structural model contribute modestly to overall uncertainty in economic performance and are comparable in importance to the uncertainty in the unit costs that a contractor will experience in repairing the damage. These observations are based only on the demonstration building, but they do offer intriguing implications for performance-based earthquake engineering. If duplicated for other buildings, it may be that much performance uncertainty could be reduced through more detailed study and modeling of building component damageability. In addition, seismic loss analyses might reasonably neglect uncertainties in structural modeling parameters, without substantially underestimating overall uncertainty.

Available online: http://peer.berkeley.edu/publications/peer_reports/reports_2002/0203.pdf