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Simplified formulas for the seismic bearing capacity of shallow strip foundations

机译：浅条形地基抗震承载力的简化公式

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摘要

The seismic bearing capacity of shallow foundations is affected by inertia forces acting both on the structure and in the supporting soil. Even though the former have been recognised to play often the major role, by increasing the horizontal load and the overturning moment transferred to the foundation, both of them must be taken into account in the seismic design of foundations. Using a pseudostatic approach and based on the upper bound theorem of limit analysis, a comprehensive set of formulas is derived for the computation of the seismic bearing capacity of strip footings resting on cohesive-frictional and purely cohesive soils. Results are given in terms of: (i) reduction coefficients for the Terzaghi's equation of the vertical bearing capacity and (ii) ultimate failure envelopes in the space of normalised loading variables. These formulas extend to more general conditions other literature results, allowing to take into account easily the effects of inertia forces acting both on the superstructure (load inclination and eccentricity) and into the foundation soil. The reliability of the proposed equations, suitable for the design practice, is verified through a thorough comparison with other rigorous and approximate solutions.
机译：浅层基础的抗震承载力受到作用在结构和支撑土上的惯性力的影响。尽管已经认识到前者通常起主要作用，但通过增加水平荷载和传递到基础的倾覆力矩，在基础抗震设计中必须考虑到这两者。使用拟静力方法并基于极限分析的上限定理，得出了一套综合公式，用于计算基于粘滞摩擦和纯粘滞土的条形基础的抗震承载力。结果根据以下方面给出：（i）垂直承载力的Terzaghi方程的折减系数，以及（ii）归一化载荷变量空间中的极限破坏包络线。这些公式可扩展到其他文献所得出的更一般的条件，从而可以轻松考虑惯性力对上部结构（荷载倾斜度和偏心率）以及基础土体的影响。通过与其他严格和近似的解决方案进行彻底的比较，验证了所提出方程式的可靠性，适用于设计实践。

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