Reliability Analysis of Redundant Ductile Structural Systems
Ma, Hak-Fong
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https://hdl.handle.net/2142/69898
Description
Title
Reliability Analysis of Redundant Ductile Structural Systems
Author(s)
Ma, Hak-Fong
Issue Date
1982
Department of Study
Civil Engineering
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Civil
Abstract
Because the information concerning loads and resistance capacities invariably contains uncertainty, the safety of a structure may be measured realistically in terms of the probability of failure. The purpose of this study is to develop a practical method for determining the point estimate of the collapse probability of ductile structural systems, particularly, plastic frameworks and trusses.
In addition to the assumption that classical simple plastic method of analysis is applicable, the magnitudes of loads and the component resistance capacities of a structure are assumed to be stochastic with known distributions (e.g., normal).
The first step of the proposed method of analysis is to identify the major collapse mechanisms. This step is transformed into an unconstrained nonlinear minimization problem and Hooke and Jeeves pattern search was adopted as the solution technique. Once the major mechanisms are identified, their corresponding performance functions may be developed through the principle of virtual work, from which the individual mechanism collapse probabilities are calculated. The system collapse probability is then evaluated through the method of PNET.
Results of the proposed method showed good agreement with corresponding Monte Carlo calculations for a wide variety of example problems examined.
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