Design procedures for Geosynthetic Reinforced Column-Supported (GRCS) embankments should consider both internal stability arising from failure of single columns and external stability arising from failure of the embankment as a whole unit. A number of possible failure mechanisms for external stability due to slip circle failure and sliding failure of group of columns as a single unit are discussed in the literature. However, internal stability issues due to failure of individual columns have not been received much attention. Therefore, an in-depth understanding of individual column failure and subsequent progressive failure of embankments is an important topic, which needs attention when investigating the stability of GRCS embankments. In this paper, two-dimensional finite element modelling incorporating strain-softening behaviour of cement mixed soils has been used to identify the individual column failure of GRCS embankments at the Ultimate Limit State. Results show that the bending failure of individual columns progressively leads to develop a failure plane within the column improved ground causing internal stability issues. For the identified failure mode, an analytical equation is proposed to calculate the factor of safety against shear failure due to progressive bending failure of columns based on the Coulomb’s wedge theory. Since the proposed approach can be conveniently implemented in an EXCEL spreadsheet program, it is useful for practicing geotechnical engineers.

土工合成材料加筋柱支撑（GRCS）路堤的设计程序应同时考虑单根柱子失效引起的内部稳定性和路堤整体单元失效引起的外部稳定性。在文献中讨论了由于滑移圆破坏和作为一组的一组列的滑动破坏而导致的外部稳定性的许多可能的破坏机制。但是，由于各个色谱柱故障而引起的内部稳定性问题尚未引起足够的重视。因此，深入了解单个柱的破坏以及路堤的逐步破坏是一个重要的课题，在研究GRCS路堤的稳定性时需要引起重视。在本文中，二维有限元建模结合了水泥混合土的应变软化行为，已被用于识别极限极限状态下GRCS路堤的单个柱破坏。结果表明，单个柱子的弯曲破坏逐渐导致在改进的柱子内部形成破坏平面，从而引起内部稳定性问题。对于确定的失效模式，基于库仑楔理论，提出了一个解析方程来计算抵抗由于柱体渐进弯曲破坏而引起的剪切破坏的安全系数。由于建议的方法可以在EXCEL电子表格程序中方便地实现，因此对于岩土工程师的实践非常有用。结果表明，单个柱子的弯曲破坏逐渐导致在改进的柱子内部形成破坏平面，从而引起内部稳定性问题。对于确定的失效模式，基于库仑楔理论，提出了一个解析方程来计算抵抗由于柱体渐进弯曲破坏而引起的剪切破坏的安全系数。由于建议的方法可以在EXCEL电子表格程序中方便地实现，因此对于岩土工程师的实践非常有用。结果表明，单个立柱的弯曲破坏逐步导致在立柱改善的地面内形成破坏平面，从而引起内部稳定性问题。对于确定的失效模式，基于库仑楔理论，提出了一个解析方程来计算抵抗由于柱体渐进弯曲破坏而引起的剪切破坏的安全系数。由于建议的方法可以在EXCEL电子表格程序中方便地实现，因此对于岩土工程师的实践非常有用。根据库仑楔理论，提出了一个解析方程来计算抵抗因柱体渐进弯曲破坏而引起的剪切破坏的安全系数。由于建议的方法可以在EXCEL电子表格程序中方便地实现，因此对于岩土工程师的实践非常有用。根据库仑楔理论，提出了一个解析方程来计算抵抗因柱体渐进弯曲破坏而引起的剪切破坏的安全系数。由于建议的方法可以在EXCEL电子表格程序中方便地实现，因此对于岩土工程师的实践非常有用。