Retaining wall construction often encounters narrow cohesive backfill and the traditional theories are no longer suitable. Hence, analytical solutions for active earth pressure of narrow cohesive backfill on a rigid retaining wall rotating about the bottom are proposed in this paper. The principle stress rotation caused by interface friction is also included. Through a typical FEM analysis and analytical derivation, the multi-segmented failure surface composed of a logarithmic spiral curve in the lower part and a tangent line in the upper part is quantitatively determined. According to the aspect ratio of the narrow backfill, three basic failure models of the narrow cohesive backfill are found together with three types of differential elements. A program is coded to automatically identify these three failure models to quickly obtain the distribution, the resultant and the application point of the active earth pressure. The proposed analytical solutions are then verified through a two-step procedure of elaborate comparisons with the FEM results and good agreements are observed. Subsequently, a parametric investigation indicates the active earth pressure is positively correlated to the aspect ratio and slope inclination angle, while is negatively correlated to the soil cohesion and interface friction.

挡土墙结构经常遇到狭窄的内聚回填，而传统的理论已不再适用。因此，本文提出了一种针对底部旋转的刚性挡土墙上窄粘性回填土主动土压力的解析解。还包括由界面摩擦引起的主应力旋转。通过典型的有限元分析和分析推导，定量确定了由下部对数螺旋曲线和上部正切线组成的多段破坏面。根据窄回填的长宽比，找到了三种窄内聚回填的基本破坏模型以及三种差分元件。对程序进行编码以自动识别这三个故障模型，以快速获得有效土压力的分布，结果和作用点。然后，通过与有限元结果进行详尽比较的两步程序，验证所提出的分析解决方案，并观察到良好的一致性。随后，一项参数研究表明，主动土压力与长宽比和坡度倾角呈正相关，而与土壤内聚力和界面摩擦呈负相关。