Calculation and analysis of upper limit solution of ultimate bearing capacity of sloping ground

Based on the theories of the limit equilibrium and limit analysis approaches, a new calculation model is presented, which can consider the effect of ascent of fill section at the back of slopes. A new upper limit formula is deduced, and its results are compared with those of the finite element method and other upper limit calculations. The analytic results show that the upper limit solution is close to the real solution, and it can reflect the ultimate bearing capacity of the real sloping ground. Besides, with the program which can calculate the mobilization factor of the fill section at the back of the sloping ground, the effect is analyzed, including angle of internal friction of the sloping ground, underside slope angle, upside slope angle, relative distance from the edge of slopes and relative depth of footings. The bearing capacity factors and mobilization factor of the fill section at the back of the sloping ground in different conditions are gained. The study results can be used in theoretical analysis of sloping ground, and provide some beneficial conclusions for the design of sloping ground.