【Objective】The ultimate undrained bearing capacity of the strip footing on slopes is studied using numerical simulation and theoretical analysis. 【Method】First, the numerical model of the strip footing on a slope is built to consider the change in the undrained bearing capacity coefficient. Then, after verifying the reliability of the numerical computation, the influences of several parameters on the bearing capacity, such as the normalized soil strength, slope angle, and relative distance of the footing to the slope crest are studied. 【Result】It is found that the collapse mode of the footing is related to the normalized soil strength, and the slope is not suitable for structure construction when the normalized soil strength is below the critical value. The results also indicate that all the factors pertaining to the soil and slope have a significant influence on the bearing capacity of the footing on the slope. Therefore, it is difficult to obtain a computation formula only using the numerical analysis results. To obtain a theoretical solution for the bearing capacity of the footing on a slope, the upper bound theory of limit analysis is employed to derive a specific formula for the capacity coefficient, and simplified for easy practical use. The results for the bearing capacity coefficient obtained by numerical simulation with different combinations of parameters are compared with the calculation results of the derived formula to conform the accuracy of the theoretical derivation. 【Conclusion】The comparison shows the high accuracy of the theoretical formula; thus it can be applied in the computation of the bearing capacity of strip footings on slopes.
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