The vector sum method of calculating sliding thrust force of slope
The determination of sliding thrust force has always been the key issue in the landslide prevention and control project.In order to solve the problem of large error in calculating sliding thrust force of complex polyline sliding body whose inclination angle change of adjacent slice is greater than 10°,the vector characteristics of forces are considered,the anti-slip force vector and sliding force vector are projected to the main sliding direction respectively,and the vector sum method for calculating the sliding thrust of slope is proposed.The distribution of the sliding thrust force along the sliding body and the safety factor can be obtained simultaneously.Comparing the proposed method and transfer coefficient method,the calculation results show that:for the slope with a circular sliding surface and a slope with a polyline sliding surface,the residual sliding thrust curves by the proposed method are in good agreement with those by transfer coefficient implicit method,which verified the rationality of the proposed method.Furthermore,the analysis results of a landslide with a complex polyline sliding surface in Chongqing show that the factor of safety by transfer coefficient implicit method is remarkably bigger than that by the limit equilibrium M-P method,and the relative error is 21.7％.However,for the proposed method in this paper,the relative error is only 0.3％to the M-P method,and the sensitivity calculation results show that the elastic parameters of soil have little influence on the calculation results of the proposed method.It can be seen that vector sum method has strong applicability to the landslide with complex slip surface whose inclination angles of adjacent slices are greater than 10°.This study confirms that the proposed method could provide a reliable design basis for anti-sliding slope engineering of complex polyline sliding surface.
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