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        Probabilistic Strength at Serviceability Limit State for Normal and SBHS Slender Stiff ened Plates Under Uniaxial Compression

        Mahmudur Rahman,Yoshiaki Okui,Muhammad Atif Anwer 한국강구조학회 2018 International Journal of Steel Structures Vol.18 No.4

        Stiff ened plates with high slenderness parameters show large out-of-plane defl ections, due to elastic buckling, which may occur before the plates reach their ultimate strength. From a serviceability point of view, restriction of out-of-plane defl ections exceeding the fabrication tolerance is of primary importance. Compressive strength at the serviceability limit state (SLS) for slender stiff ened plates under uniaxial stress was investigated through nonlinear elasto-plastic fi nite element analysis, considering both geometric and material nonlinearity. Both normal and high-performance steel were considered in the study. The SLS was defi ned based on a defl ection limit and an elastic buckling strength. Probabilistic distributions of the SLS strengths were obtained through Monte Carlo simulations, in association with the response surface method. On the basis of the obtained statistical distributions, partial safety factors were proposed for SLS. Comparisons with the ultimate strength of diff erent design codes e.g. Japanese Code, AASHTO, and Canadian Code indicate that AASHTO and Canadian Code provide signifi cantly conservative design, while Japanese Code matches well with a 5% non-exceedance probability for compressive strength at SLS.

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        Probabilistic Distributions of Plate Buckling Strength for Normal and Bridge High-performance Steels

        Dang Viet Duc,Yoshiaki Okui,Koichi Hagiwara,Masatsugu Nagai 한국강구조학회 2013 International Journal of Steel Structures Vol.13 No.3

        The probabilistic distributions of buckling strengths for compressive plates of normal and bridge high-performance steels were obtained through numerical analyses in order to develop a nominal design strength and a corresponding safety factor. In the numerical analyses, Monte Carlo simulation was used in combination with the response surface method to reduce the effort associated with the finite element analyses. For each value of the slenderness parameter R, a response surface of the normalized local bucking strength was determined based on the results of 114 finite element analyses using different residual stresses and initial defections. The response surface is approximated as a simple algebraic function of the residual stress and the initial deflection. Monte Carlo simulation is then carried out in order to evaluate the probabilistic distribution of the local bucking strength. The mean values obtained in the present study approach those of a mean curve proposed based on experiments. The standard deviation of the present study was approximately half that obtained based on experimental results in the range of 0.6<R<1.2.

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