Reliability of Nonlinear Framed Structures
Publication: Journal of Structural Engineering
Volume 109, Issue 7
Abstract
The assessment of reliability for framed steel structures is approached by the determination of limit state surfaces in load space. Surfaces corresponding to initial yield, plastic hinge formation and mechanism formation or structural instability are found by an incremental loading procedure along proportional load paths from the point of expected values. A previously derived stiffness matrix for wide‐flange steel members subject to elasto‐plastic bending and derived from moment‐thrust‐curvature equations is utilized. The nonlinear frame response is based on a tangential stiffness matrix for which each cross section of a member may experience various degrees of partial plastic behavior. A recent model for the nonlinear behavior of connections reflecting moment and axial force coupling due to noncentroidal rotation is also incorporated. Turkstra's rule of load combination permits the inclusion of arbitrary point‐in‐time as well as lifetime maximum probability distributions of live and wind loads.
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References
1.
Ang, A. H., and Cornell, C. A., “Reliability of Structural Safety and Design,” Journal of the Structural Division, ASCE, Vol. 100, No. ST9, Proc. Paper 10777, Sept., 1974, pp. 1755–1769.
2.
“Building Code Requirements for Minimum Design Loads in Buildings and Other Structures,” ANSI Standard A58.1‐1972, American National Standards Institute, New York, N.Y., 1972.
3.
Chalk, P. L., and Corotis, R. B., “Probability Model for Design Live Loads,” Journal of the Structural Division, ASCE, Vol. 106, No. ST10, Proc. Paper 15753, Oct., 1980, pp. 2017–2033.
4.
Cornell, C. A., “A First‐Order Reliability Theory for Structural Design,” Structural Reliability and Codified Design, N. C. Lind, ed., S. M. Study No. 3, Solid Mechanics Division, Waterloo University, Waterloo, Ontario, Canada, 1970.
5.
Corotis, R. B., and Doshi, V. A., “Probability Models for Live Loads Survey Results,” Journal of the Structural Division, ASCE, Vol. 103, No. ST6, Proc. Paper 12997, June, 1977, pp. 1257–1274.
6.
Ellingwood, B. R., “Wind and Snow Load Statistics for Probabilistic Design,” Journal of the Structural Division, ASCE, Vol. 107, No. ST7, July, 1981, pp. 1345–1350.
7.
Ellingwood, B. R., Galambos, T. V., MacGregor, J. G., and Cornell, C. A., “Development of a Probability Based Load Criterion for American National Standard A58,” National Bureau of Standards Special Publication 577, June, 1980.
8.
Freudenthal, A. M., Garrelts, J., and Shinozuka, M., “The Analysis of Structural Safety,” Journal of the Structural Division, ASCE, Vol. 92, No. ST1, Proc. Paper 5682, Feb., 1966, pp. 267–325.
9.
Harris, M. E., Corotis, R. B., and Bova, C. J., “Area‐Dependent Processes for Structural Live Loads,” Journal of the Structural Division, ASCE, Vol. 107, No. ST5, Proc. Paper 16266, May, 1981, pp. 857–872.
10.
Hasofer, A. M., and Lind, N. C., “Exact and Invariant Second‐Moment Code Format,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM1, Proc. Paper 10376, Feb., 1974, pp. 111–121.
11.
Hauck, G. F., and Lee, S. L., “Stability of Elasto‐Plastic Wide‐Flange Columns,” Journal of the Structural Division, ASCE, Vol. 89, No. ST6, Proc. Paper 3738, Dec., 1963, pp. 297–324.
12.
Kam, T. Y., “Reliability of Framed Structures Subject to Nonlinear Behavior,” thesis presented to Northwestern University, at Evanston, Ill., in 1982, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
13.
Lu, L. W., “Stability of Frames under Primary Bending Moments,” Journal of the Structural Division, ASCE, Vol. 89, No. ST3, Proc. Paper 3547, June, 1963, pp. 35–62.
14.
Luke, Y. L., Mathematical Functions and Their Approximations, Academic Press, Inc., New York, N. Y., 1975.
15.
Masur, E. F., Chang, I. C., and Donnell, L. H., “Stability of Frames in the Presence of Primary Bending Moments,” Journal of the Engineering Mechanics Division, ASCE, Vol. 87, No. EM4, Proc. Paper 2882, Aug., 1961, pp. 19–34.
16.
McGuire, R. K., and Cornell, C. A., “Live Load Effects in Office Buildings,” Journal of the Structural Division, ASCE, Vol. 100, No. ST7, Proc. Paper 10660, July, 1974, pp. 1351–1366.
17.
Peir, J. C., and Cornell, C. A., “Spatial and Temporal Variability of Live Loads,” Journal of the Structural Division, ASCE, Vol. 99, No. ST5, Proc. Paper 9747, May, 1973, pp. 903–922.
18.
Rosenblueth, E., and Esteva, L., “Reliability Basis for Some Mexican Codes,” Probabilistic Design of Reinforced Concrete Buildings, American Concrete Institute, Publication SP‐31, Detroit, Mich., 1971, pp. 1–41.
19.
Simiu, E., and Shaver, J. R., “Wind Loading and Reliability Based Design,” presented at the Fifth International Conference on Wind Engineering, Colorado State University, Fort Collins, Colo., July, 1979.
20.
Turkstra, C. J., “Theory of Structural Design Decisions,” Solid Mechanics Study No. 2, University of Waterloo, Waterloo, Ontario, Canada, 1972.
21.
Wales, M. W., “A Mathematical Model of the Nonlinear Behavior of Bolted Steel Connections,” thesis submitted to Northwestern University, at Evanston, Ill., in 1981, in partial fulfillment of the requirements for the degree of Master of Science.
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Copyright © 1983 ASCE.
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Published online: Jul 1, 1983
Published in print: Jul 1983
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