Based on the recurrent equations of the inter-slice forces and inter-slice moments,the unified calculation formulation for the safety factor based on rigorous equilibrium (type HVM) in the context of conventional methods of slices is developed by Newton-Raphson method.
Based on the recurrence equations of the inter-slice forces and inter-slice moments, the unified calculating formulation for the factor of safety based on rigorous equilibrium in the context of conventional methods of slices is developed by Newton-Raphson method.
Therefore,it is implied that the simplified Bishop method automatically satisfies the rigorous equilibrium conditions,which can be regarded as a rigorous inter-slice method.
In contrast to conventional procedures, the present method assumes the normal stresses associated with the action of anchorage is approximated by the analytical stress distribution corresponding to an infinite wedge with concentrated force at the apex. The total normal stresses are then modified by satisfying the rigorous equilibrium conditions for the whole sliding body, resulting in an closed-form expression for the required magnitude of anchoring force.
In contrast to conventional procedures,the present method assumes the normal stresses associated with the action of anchorage is approximated by the analytical stress distribution corresponding to an infinite wedge with concentrated force at the apex. The total normal stresses are then modified by satisfying the rigorous equilibrium conditions for the whole sliding body,resulting in an closed-form expression for the required magnitude of anchoring force.
Prof Tang clarified importance of mixed state equation of elasticity, and first gave Hamilton canonical equation by modifying Hellinger-Reissner variational principle At the same time author pointed out that the study of solution of mixed state equation has still not been well developed though it has a wide spread application prospect.This is because Hamilton equation must satisfy comples boundary condition in continuous medium mechanics which is its difficult point, Fan and Ding applied the mixed sta...
In this paper a new procedure is proposed for calculating the anchoring force required to stabilize slopes to a specified factor of safety. In contrast to conventional procedures, the present method assumes the normal stresses associated with the action of anchorage is approximated by the analytical stress distribution corresponding to an infinite wedge with concentrated force at the apex. The total normal stresses are then modified by satisfying the rigorous equilibrium conditions for the whole...
The currently used 13 limit equilibrium methods of slices are classified into four types based on the equilibrium conditions. These are type M with only considering moment equilibrium condition about specified center,type VM with considering vertical force equilibrium condition and moment equilibrium condition about specified center,type HV with considering both horizontal and vertical force equilibrium condition,and type HVM with considering horizontal and vertical force...