TECHNICAL PAPERS
Jul 1, 2007

Cost-Benefit Importance Vectors for Performance-Based Structural Engineering

Publication: Journal of Structural Engineering
Volume 133, Issue 7

Abstract

This paper offers importance vectors to identify the structural parameters that are most cost efficient to change to improve the reliability of an underperforming design. The methodology comprises the synthesis of reliability sensitivity measures and construction cost data to obtain practically useful parameter rankings. The results expose the change in the reliability per dollar spent on different parameters. A novel distinction is made between design parameters and tolerance parameters in order to include the possibility of improving the reliability by allocating resources to reduce variability in certain geometry and material parameters. The developments are intended as a tool for the emerging performance-based engineering approach. Sophisticated structural models are employed in conjunction with reliability analysis. In this paper, the costs are estimated based on RSMeans construction cost data, while the probabilistic models for material and geometry parameters are based on the JCSS model code. A detailed example of a six-story, three-bay reinforced concrete frame structure is presented to demonstrate the computation and interpretation of the cost-benefit importance vectors.

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Acknowledgments

This work is sponsored by the second writer’s Discovery Grant from the Natural Sciences and Engineering Research Council of Canada (NSERC), which is greatly appreciated. The writers would also like to thank Mr. Hong Liang for the generation of the finite-element model that is utilized in this study.

References

Bjerager, P., and Krenk, S. (1989). “Parameter sensitivity in first order reliability theory.” J. Eng. Mech., 115(7), 1577–1582.
Cement Association of Canada. (1995). Canadian concrete design handbook, 2nd Ed.
Ditlevsen, O., and Madsen, H. (1996). Structural reliability methods, Wiley, New York.
Hamburger, R., et al. (2004). “The atc-58 project: Development of next-generation performance-based earthquake engineering decision criteria for buildings.” Proc., 13th World Conf. on Earthquake Engineering (13th WCEE), Vancouver, Canada.
Haukaas, T., and Der Kiureghian, A. (2004). “Finite-element reliability and sensitivity methods for performance-based engineering.” Rep. No. PEER 2003/14, Pacific Earthquake Engineering Research (PEER) Center, Univ. of California, Berkeley.
Haukaas, T., and Der Kiureghian, A. (2005). “Parameter sensitivity and importance measures in nonlinear finite-element reliability analysis.” J. Eng. Mech., 131(10), 1013–1026.
Hohenbichler, M., and Rackwitz, R. (1986). “Sensitivity and importance measures in structural reliability.” Civ. Eng. Syst., 3(4), 203–209.
JCSS. (2001). “Joint committee on structural safety: Probabilistic model code.” ⟨http://www.jcss.ethz.ch⟩ (February 2006).
Lind, N. C., and Davenport, A. G. (1972). “Towards practical application of structural reliability theory.” Probabilistic design of RC buildings, ACI SP-31, ACI, Chicago, p. 63–110.
Liu, P.-L., and Der Kiureghian, A. (1986). “Multivariate distribution models with prescribed marginals and covariances.” Probab. Eng. Mech., 1(2), 105–112.
Moehle, J., and Deierlein, G. G. (2004). “A framework methodology for performance-based earthquake engineering.” Proc., 13th World Conf. on Earthquake Engineering (13th WCEE), Vancouver, Canada.
RSMeans. (2000). Building construction cost data, 58th Annual Ed., metric version, RSMeans Company, Inc., Kingston, Mass.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 133Issue 7July 2007
Pages: 907 - 915

History

Received: Mar 1, 2006
Accepted: Dec 14, 2006
Published online: Jul 1, 2007
Published in print: Jul 2007

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Notes

Note. Associate Editor: Shahram Sarkani

Authors

Affiliations

K. A. Riederer [email protected]
Graduate Student, Dept. of Civil Engineering, Univ. of British Columbia, 6250 Applied Science Lane, Vancouver BC, V6T 1Z4 Canada. E-mail: [email protected]
Assistant Professor, Dept. of Civil Engineering, Univ. of British Columbia, 6250 Applied Science Lane, Vancouver BC, V6T 1Z4 Canada (Corresponding author). E-mail: [email protected]

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