Abstract
In 1943, Terzaghi proposed a simple, unified equation for determination of the bearing capacity of soils considering static surface loads. From then, this classical equation and its later extensions have been widely used in the design of various foundations against instantaneous failure. With the fast development of transportation industry, researchers have been interested in the evaluation of shakedown limits of pavements and railways under repeated traffic loads, which are much smaller than Terzaghi’s bearing capacity. Noting that various shakedown limits for different problems share some common trends and key factors, this paper proposes a simple, unified shakedown limit equation, in a format analogous to Terzaghi’s equation. The shakedown limit equation includes three terms, which represent the contributions from cohesion, self-weight of the underlying soil, and self-weight of any superficial rigid layers, respectively. Numerical results indicate that the coefficient in the cohesion term \({N}_{c}^{sd}\) depends on the soil friction angle; while the coefficient in the self-weight term \({N}_{\gamma }^{sd}\) is controlled by soil friction angle and a dimensional factor \(\gamma a/c\). Values of \({N}_{c}^{sd}\) and \({N}_{\gamma }^{sd}\) for a typical rolling point contact problem also explain the different contribution ratios from the soil self-weight to the shakedown limits of pavement and railway problems.
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Acknowledgements
Financial support from Ningbo Natural Science Foundation (2021J184) and Zhejiang Natural Science Foundation (LY22E080018) are acknowledged. The Zhejiang Provincial Department of Science and Technology is also acknowledged for this research under its provincial Key Laboratory Program (2020E10018).
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Wang, J., Yu, HS. (2023). A Unified Shakedown Limit Equation for Pavements and Railways Under Repeated Traffic Loads. In: Garcea, G., Weichert, D. (eds) Direct Methods for Limit State of Materials and Structures. Lecture Notes in Applied and Computational Mechanics, vol 101. Springer, Cham. https://doi.org/10.1007/978-3-031-29122-7_2
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