【文章內(nèi)容簡介】
he probability of failure of a column, represented by Node eg in Figs. 1 and 2, is estimated. For the serviceability limit state, the horizontal deflection at the top of the bined system (point a in Figs. 1 and 2) is evaluated. The results are summarized in Table 4. As before, 10,000 simulations are used for the strength limit state and 100,000 simulations are used for the serviceability limit state. For both the strength and serviceability limit states, the reliability indexes estimated by the proposed algorithm and the Monte Carlo simulation technique are similar. The results clearly indicate that the proposed algorithm can be used to estimate the probability of failure of a bined system consisting of frame and shear walls under static loading. The reliability of the column did not change significantly due to the presence of shear walls. However, the horizontal drift at the top of the frame reduced significantly and the probability of failure of the bined system in serviceability became almost zero. This is expected. For the bined system, the controlling limit state has changed from serviceability to strength. This simple example clearly demonstrates the beneficial effect of shear walls in carrying horizontal loads. It also demonstrates that the proposed algorithm can be used to estimate the reliability of a plicated structural system under static loading conditions, broadening the application potential of reliability methods.ConclusionsAn efficient and accurate algorithm is developed to evaluate the reliability of a steel frame and RC shear wall structural system. The steel frame is represented by beamcolumn elements and the shear walls are represented by plate elements. A stochastic finite elementbased approach consisting of the reliability approach, the firstorder reliability analysis procedure, and the finiteelement method is proposed. The reliability of a frame with and without shear walls is evaluated for the strength and serviceability performance functions. The results are verified using the Monte Carlo simulation technique. The proposed stochastic finiteelementbased algorithm is reasonable for evaluating the reliability of a bined system consisting of frame and shear walls for static loading. It gives similar results for both the strength and serviceability performance functions pared to the results from Monte Carlo Simulation. As expected, this study showed that the reliability of a frame for horizontal deflection could be significantly improved with the help of shear walls. The proposed algorithm to evaluate the reliability of a bined system consisting of steel frames and RC shear walls for static loading is very unique. It produces accurate and efficient results, and can be used in the future to evaluate the reliability of plicated structural systems. The proposed algorithm demonstrates how reliability methods can be applied to evaluate the risk of a real structural system cap