论文代写-力矩平衡

u =孔隙压力

l =片底座长度

The ordinary method satisfies moment equilibrium for the circular slip surface and neglects both the shear and interslice normal forces. The main advantage of the method is that it examines the factor of safety in a simple way and the equation does not require the interaction process. The factor of safety is based on the moment equilibrium.

Where,
u= pore pressure
l= slice base length
α = inclination of the slip surface

The ordinary method satisfies the moment equilibrium condition, neglects the shear and interslice normal forces and provides the conservation factor of safety and useful for demonstrations.
The simplified method of Bishop is commonly used in practice for the circular shear surface. The method includes the interslice normal forces and does not include the interslice shear forces. The vertical force equilibrium is satisfied to determine and evaluate the base normal base which is given by: The Bishop’s simplified method assumes the circular failure surface, and the equation is used to determine the factor of safety. The computation requires the iterative process because of nonlinear relationship as the factor of safety appears on the both sides. Thus, the method satisfies the moment equilibrium or factor of safety and vertical force equilibrium. It includes the interslice normal force and mostly applies to the circular shear surfaces. The Bishop rigorous method includes the interslice shear forces. The method assumes the distribution of the resultant forces and satisfies the moment equilibrium of the slice. The iteration processes determine the factor of safety.