Abstract This paper presents an efficient technique to calculate the passive earth pressure of a cohesionless sloping backfill on a rigid retaining wall which is an extension of the Terzaghi’s log-spiral approach. Moment equilibrium conditions are used to compute the minimum value of the passive pressure required to mobilize the passive failure. Terzaghi assumed that the pole of the log-spiral failure surface lies inside the soil mass, whereas the proposed technique and solutions show that the pole can lie inside or outside the soil mass. Thus, the developed technique has extended the log-spiral method reported by Terzaghi by providing a generalised solution. The distinctive feature of the proposed technique is the explicit and rigorous solutions developed which allow to evaluate the passive earth pressure with different friction angles for the soil and wall-soil interface, backfill slopes and wall inclination angles. These solutions are relatively simple to incorporate into a spreadsheet to derive the passive force and pressure. A series of experiments were carried out using a physical model and the Particle Image Velocimetry (PIV) technique to analyse the failure surface. The developed solutions were then validated with data obtained from model tests as well as experimental data found in the literature.

中文翻译：

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基于电子表格的基于对数螺旋法计算被动土压力的技术

摘要 本文提出了一种计算刚性挡土墙上无粘性倾斜回填土被动土压力的有效技术，该技术是 Terzaghi 对数螺旋方法的扩展。力矩平衡条件用于计算动员被动故障所需的被动压力的最小值。Terzaghi 假设对数螺旋破坏面的极点位于土体内部，而所提出的技术和解决方案表明，极点可以位于土体内部或外部。因此，开发的技术通过提供通用解决方案扩展了 Terzaghi 报告的对数螺旋方法。所提出技术的显着特点是开发了明确而严格的解决方案，可以评估土壤和墙土界面、回填坡度和墙倾角的不同摩擦角的被动土压力。这些解决方案可以相对简单地合并到电子表格中以导出被动力和压力。使用物理模型和粒子图像测速 (PIV) 技术进行了一系列实验来分析失效表面。然后使用从模型测试中获得的数据以及在文献中找到的实验数据对开发的解决方案进行验证。使用物理模型和粒子图像测速 (PIV) 技术进行了一系列实验来分析失效表面。然后使用从模型测试中获得的数据以及在文献中找到的实验数据对开发的解决方案进行验证。使用物理模型和粒子图像测速 (PIV) 技术进行了一系列实验来分析失效表面。然后使用从模型测试中获得的数据以及在文献中找到的实验数据对开发的解决方案进行验证。