In this study, the ultimate bearing capacity of shallow strip footings resting on a geosynthetic-reinforced soil mass subjected to inclined and eccentric combined loading is rigorously examined through the well-established method of lower bound limit analysis (LA) in conjunction with finite element (FE) and second-order cone programming (SOCP). Lower bound limit analysis formulation is modified to consider the ultimate tensile force of the geosynthetic layer in the soil mass so as to account for both pullout (sliding) and rupture (structural) modes of reinforcement failure. The effects of several parameters, including the embedment depth (u) and the ultimate tensile strength (T_u) of the geosynthetic layer along with load inclination angle (α) and load eccentricity (e), on the bearing capacity ratio (BCR) and failure envelopes of the overlying shallow foundation are examined and discussed. The results generally show a marked increase in the ultimate bearing capacity of the surface footing against combined loading with the inclusion of a single geosynthetic layer. Results also reveal that a second intermediate reinforcement might be required to bear a dual performance against both vertical concentric and combined loading scenarios so as to more effectively support the footing.

中文翻译：

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联合荷载下土工合成材料加筋土基础的承载力

在本研究中，通过下限分析 (LA) 与有限元相结合的成熟方法，严格检验了位于土工合成材料加筋土体上的浅条形基础在倾斜和偏心联合荷载作用下的极限承载力。 FE）和二阶锥规划（SOCP）。修改下限分析公式以考虑土体中土工合成材料层的极限拉力，从而考虑加固破坏的拉拔（滑动）和破裂（结构）模式。土工合成材料层埋深 ( u ) 和极限抗拉强度 ( Tu )_等参数对荷载倾角 ( α )的影响）和载荷偏心率（e）对上覆浅基础的承载力比（BCR）和破坏包络线进行了检查和讨论。结果通常表明，通过包含单个土工合成材料层，表面基础对抗组合荷载的极限承载能力显着增加。结果还表明，可能需要第二个中间钢筋来承受垂直同心和组合载荷情况下的双重性能，以便更有效地支撑基础。