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<p>The voids undetected during construction or those formed after construction are among the important uncertainty sources in calculating the bearing capacity of footings. The present study investigates the bearing capacity of surface footings on homogeneous clay soil. To this end, the effect of random voids in a soil layer is incorporated by combining the finite difference method and random field theory in the Monte Carlo simulation framework. Each simulation introduces a single void. The effect of random voids was investigated by producing different data sets for several samples, including the thickness of the layer susceptible to scouring, the distance from the surface, the void size, and the spatial position of the center of the voids. Next, these data underwent numerical analyses for circular and square void geometries. The effect of parameters on the undrained bearing capacity factor (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({N}_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>N</mi> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation>) was investigated based on the results, and design charts (as a dimensionless function) were prepared to calculate the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({N}_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>N</mi> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation> of strip footings.</p>

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Probabilistic Analysis of the Undrained Bearing Capacity of Strip Footings on Voids with Random Distribution of Size and Location

  • 期刊论文

  • 发表日期：

    2025年3月24日

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  • Sajedeh Hemmati,
  • Mehran Karimpour-Fard,
  • Habib Shahnazari,
  • Reza Alaie

摘要

The voids undetected during construction or those formed after construction are among the important uncertainty sources in calculating the bearing capacity of footings. The present study investigates the bearing capacity of surface footings on homogeneous clay soil. To this end, the effect of random voids in a soil layer is incorporated by combining the finite difference method and random field theory in the Monte Carlo simulation framework. Each simulation introduces a single void. The effect of random voids was investigated by producing different data sets for several samples, including the thickness of the layer susceptible to scouring, the distance from the surface, the void size, and the spatial position of the center of the voids. Next, these data underwent numerical analyses for circular and square void geometries. The effect of parameters on the undrained bearing capacity factor ( \({N}_{c}\) N c ) was investigated based on the results, and design charts (as a dimensionless function) were prepared to calculate the \({N}_{c}\) N c of strip footings.