Reliability of Frame and Shear Wall Structural Systems. I: Static Loading
This article has a reply.
VIEW THE REPLYPublication: Journal of Structural Engineering
Volume 129, Issue 2
Abstract
An efficient and accurate algorithm is developed to evaluate the reliability of a steel frame and reinforced concrete shear wall structural system subjected to static loading. In a companion paper, the algorithm is extended to consider dynamic loading, including seismic loading. The concept integrates the finite-element method and the first-order reliability method, leading to a stochastic finite-element-based approach. In the deterministic finite-element representation, the steel frame is represented by beam-column elements and the shear walls are represented by plate elements. The stiffness matrix for the combined system is then developed. The deterministic finite-element algorithm is verified using a commercially available computer program. The deterministic algorithm is then extended to consider the uncertainty in the random variables. The reliability of a steel frame with and without the presence of reinforced concrete shear walls is evaluated for the strength and serviceability performance functions. The results are verified using Monte Carlo simulations. The algorithm quantitatively confirms the beneficial effect of shear walls, particularly when the steel frame is weak in satisfying the serviceability requirement of lateral deflection. The algorithm can be used to estimate the reliability of any complicated structural system consisting of different structural elements and materials when subjected to static loading. The procedure will be useful in the performance-based design guidelines under development by the profession.
Get full access to this article
View all available purchase options and get full access to this article.
References
American Concrete Institute (ACI). (1999). “Building code requirements for structural concrete (318-99) and commentary (318R-99).” ACI. Farmington Hills, Mich.
American Institute of Steel Construction (AISC). (1994). Manual of steel construction: Load and resistance factor design, 2nd Ed., Chicago.
Arora, J. S., and Haug, E. J.(1979). “Methods of design sensitivity analysis in structural optimization.” AIAA J., 17(9), 970–974.
Gao, L. (1994). “Stochastic finite element method for the reliability analysis of nonlinear frames with PR connections.” PhD dissertation, Dept. of Civil Engineering and Engineering Mechanics, Univ. of Arizona, Tucson, Ariz.
Gao, L., and Haldar, A.(1995). “Safety evaluation of frames with PR connections.” J. Struct. Eng., 121(7), 1101–1109.
Haldar, A., and Gao, L. (1997). “Reliability evaluation of structures using nonlinear SFEM.” Uncertainty Modeling in Finite Element, Fatigue, and Stability of Systems, A. Haldar, A. Guran, and B. M. Ayyub, eds., World Scientific Publishing, River Edge, N.J., 23–50.
Haldar, A., and Mahadevan, S. (2000a). Probability, Reliability and Statistical Methods in Engineering Design, Wiley, New York.
Haldar, A., and Mahadevan, S. (2000b). Reliability assessment using stochastic finite element analysis, Wiley, New York.
Haldar, A., and Nee, K. M.(1989). “Elasto-plastic large deformation analysis of PR steel frames for LRFD.” Comput. Struct., 34(5), 811–823.
Hibbitt, Karlsson, and Sorensen, Inc. (1998). ABAQUS/Standard manual, Pawtucket, RI.
Inoue, N., Yang, K., and Shibata, A.(1997). “Dynamic nonlinear analysis of reinforced concrete shear wall by finite element method with explicit analytical procedure.” Earthquake Eng. Struct. Dyn., 26, 967–986.
Kondoh, K., and Atluri, S. N.(1987). “Large-deformation, elasto-plastic analysis of frames under non-conservative loading, using explicitly derived tangent stiffnesses based on assumed stresses.” Computational Mech., 2, 1–25.
Lee, S. Y. (2000). “Static and dynamic reliability analysis of frame and shear wall structural systems.” PhD dissertation, Dept. of Civil Engineering and Engineering Mechanics, Univ. of Arizona, Tucson, Ariz.
Lee, S. Y., and Haldar, A.(2003). “Reliability of frame and shear wall structural systems. II: Dynamic loading.” J. Struct. Eng., 129(2), 233–240.
Lefas, D., Kotsovos, D., and Ambraseys, N.(1990). “Behavior of rein-forced concrete structural walls: strength, deformation characteristics, and failure mechanism.” ACI Struct. J., 87(1), 23–31.
Liauw, T. C., and Kwan, K. H.(1985). “Static and cyclic behaviors of multistory infilled frames with different interface conditions.” J. Sound Vib., 99(2), 275–283.
Ryu, Y. S., Haririan, M., Wu, C. C., and Arora, J. S.(1985). “Structural design sensitivity analysis of nonlinear response,” Comput. Struct., 21(1/2), 245–255.
Vecchio, F. J. (1989). “Nonlinear finite element analysis of reinforced concrete membranes.” ACI Struct. J., 26–35.
Gupta, A. K., and Akbar, H.(1984). “Cracking in reinforced concrete analysis.” J. Struct. Eng., 110(8), 1735–1746.
Information & Authors
Information
Published In
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: May 11, 2001
Accepted: May 30, 2002
Published online: Jan 15, 2003
Published in print: Feb 2003
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.