TECHNICAL PAPERS
Mar 1, 2008

System Safety Performance Metrics for Skeletal Structures

Publication: Journal of Structural Engineering
Volume 134, Issue 3

Abstract

A system safety performance metric is a tool to quantify the degree of safety of a structural system for a given performance objective. Classically, safety of skeletal structure as a complete system, designed by member-based structural codes, was evaluated by checking for system stability. Reliability oriented research has focused on ultimate strength and probability of failure as system safety performance objectives, whereas earthquake engineering evaluations have considered displacement as the performance objective. This paper explores and clarifies the connection between system safety and structural redundancy concepts, provides alternative interpretation of structural system redundancy, and proposes two nondimensional system safety performance metrics for skeletal structures with stability as the performance objective. The proposed structural system safety performance metrics conveniently range from 0 to 1, and use algebraic properties of stiffness matrix to (1) measure the minimum distance of stiffness matrix from a set of singular matrices; and (2) quantify the degree of linear dependency of column vectors of the stiffness matrix, respectively. Also, approaches for identifying critical structural member and quantifying failure path importance are addressed.

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References

Au, T., and Christianson, P. (1993). Fundamentals of structural analysis, Prentice-Hall, Englewood Cliffs, N.J.
Bertero, R. D., and Bertero, V. V. (1999). “Redundancy in earthquake-resistant design.” J. Struct. Eng., 125(1), 81–88.
Demmel, J. W. (1987). “On condition numbers and the distance to the nearest ill-posed problems.” Numer. Math., 51(3), 251–289.
Eckart, C., and Young, G. (1939). “A principal axis transformation for non-Hermitian matrices.” Bull. Am. Math. Soc., 45(2), 118–121.
Frangopol D. M., ed. (1987). Effects of damage and redundancy on structural performance, ASCE, Reston, Va.
Gorman, M. R. (1984). “Structural redundancy.” Proc., 4th ASCE Specialty Conf. on Probabilistic Mechanics and Structural Reliability, Y.-K. Yen, ed., Berkeley, Calif., 45–48.
Gutkowski, R. M. (1990). Structures—Fundamental theory and behavior, 2nd Ed., Von Nostrand Reinhold, New York, 411–415.
Kahan, W. (1966). “Numerical linear algebra.” Can. Math. Bull., 9(6), 757–801.
Murtha-Smith, E. (1988). “Alternate path analysis of space trusses for progressive collapse.” J. Struct. Eng., 114(9), 1978–1999.
Nafday, A. M. (2006). “Measures of structural system redundancy.” Proc., 23rd Southeastern Conf. on Theoretical and Applied Mechanics, Mayaguez, Puerto Rico.
NIST. (2005). “Federal building and fire safety investigation of the World Trade Center disaster: Final report of the national construction safety team on the collapses of the World Trade Center tower.” NIST NCSTAR 1, Gaithensburg, Md.
Porter, K. A. (2003). “An overview of PEER’s performance-based earthquake engineering methodology.” 9th Int. Conf. on Applications of Statistics and Probability in Civil Engineering (ICASP9), San Francisco.
Sebastian, W. M. (2004). “Collapse considerations and electrical analogies for statically indeterminate structures.” J. Struct. Eng., 130(10), 1445–1453.
Sunder, S. S. (2006). “Opening remarks at the meeting to discuss IBC code change proposal for progressive/disproportionate collapse.” Meeting of NIBS Building Code Experts and Structural Engineering Organizations, NIST, Gaithensburg, Md.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 134Issue 3March 2008
Pages: 499 - 504

History

Received: Aug 29, 2006
Accepted: Dec 14, 2006
Published online: Mar 1, 2008
Published in print: Mar 2008

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Notes

Note. Associate Editor: Shahram Sarkani

Authors

Affiliations

Avinash M. Nafday
CSLC, Marine Facilities Division, 200 Oceangate, Long Beach, CA 90802.

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