Implementation of limit states and load resistance design of slopes.
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Implementation of limit states and load resistance design of slopes.

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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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