Implementation of limit states and load resistance design of slopes.
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2013-11-01
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Abstract:A logical framework is developed for load and resistance factor design (LRFD) of slopes based on reliability analysis. LRFD of slopes with ; resistance factors developed in this manner ensures that a target probability of slope failure is not exceeded. Three different target ; probabilities of failure (0.0001, 0.001 and 0.01) are considered in this report. The ultimate limit state for slope stability (formation of a slip ; surface and considerable movement along this slip surface) is defined using the Bishop simplified method with a factor of safety equal to ; unity. Gaussian random field theory is used to generate random realizations of a slope with values of strength and unit weight at any ; given point of the slope that differ from their mean by a random amount. A slope stability analysis is then performed for each slope ; realization to find the most critical slip surface and the corresponding driving and resisting moments. The probability of slope failure is ; calculated by counting the number of slope realizations for which the factor of safety did not exceed 1 and dividing that number by the ; total number of realizations. The mean of the soil parameters is adjusted and this process repeated until the calculated probability of ; failure reaches to the target probability of failure. Optimal resistance and load factors are obtained by dividing the resisting and driving ; moments corresponding to the most probable ultimate limit state by the nominal values of resisting and driving moments. ; The main goal of this study was to provide specific values of resistance and load factors to implement in limit states and load ; resistance design of slopes in the context of transportation infrastructure. This report discusses the concepts of load and resistance ; factors, target probability of failure and the ultimate limit state equation in the context of slope stability analysis. It then presents a ; detailed algorithm for resistance factor calculation by using reliability analysis. Six cases of real slopes designed and constructed by INDOT ; are examined by using undrained shear strengths in order to illustrate the LRFD procedure and validate the recommended resistance and ; load factors.
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Main Document Checksum:urn:sha256:1387b63a4770ea277e3bc3144838183ee893b9f3c29c2842c9afef0637c089ea