The stability analysis of geosynthetic-encased stone column (GESC) composite foundations is a critical aspect of design calculations

but research in this area is still incomplete. This paper categorizes GESCs under embankments based on their distinct failure characteristics. Considering the compression and bending failures of columns

the stability analysis method for GESC composite foundations under embankments is studied. Initially

this paper proposes a method to calculate the theoretical critical bending moment of GESCs

considering their physical properties and using the quadratic approximation method for solving transcendental equations

by referring to the calculation method for the bending bearing capacity of reinforced concrete piles. Subsequently

the concepts of critical bending moment and equivalent shear strength are introduced to modify the traditional limit equilibrium method

and a stability analysis method based on bending failure of columns for GESC composite foundations under embankments is proposed. Finally

the results of the method

the traditional limit equilibrium method

and the numerical strength reduction method are compared using an example of laboratory model test

to verify the rationality and applicability of the method.