<p>A three-dimensional finite elements limit analysis (FELA) has been performed to assess the stability of a vertical excavation supported by a contiguous piled wall in a soft cohesive-frictional soil mass. The pile has been embedded to a depth D below the base of an excavation which is having height H. The value of the maximum soil unit weight (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40891_2025_629_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\upgamma }_{\text{cr}}),\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi mathvariant="normal">γ</mi> <mtext>cr</mtext> </msub> <mrow> <mo stretchy="false">)</mo> <mo>,</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> which induces the failure of the excavation supported by piles, has been computed. For a given diameter (d) of the pile, several combinations of clear spacing (s) between the piles, pile-soil interface roughness factor (m), and the shear strength material parameters (<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40891_2025_629_Article_IEq7.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="30" /> </InlineMediaObject> <EquationSource Format="TEX">\(c,\upvarphi\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>c</mi> <mo>,</mo> <mi mathvariant="normal">φ</mi> </mrow> </math></EquationSource> </InlineEquation>) of the soil mass have been chosen to compute the stability number (<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40891_2025_629_Article_IEq8.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\upgamma\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">γ</mi> </math></EquationSource> </InlineEquation><sub>cr</sub> H/c). For simulating the problem with the limiting case of <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40891_2025_629_Article_IEq10.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="TEX">\(\frac{s}{d} = 0,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mfrac> <mi>s</mi> <mi>d</mi> </mfrac> <mo>=</mo> <mn>0</mn> <mo>,</mo> </mrow> </math></EquationSource> </InlineEquation> a plane strain analysis has also been carried out for an excavation supported by a continuous wall, having thickness d, to determine the corresponding solution with a given D/H. The stability number for a contiguous piled wall increases continuously with (i) a decrease in the spacing to diameter ratio (s/d) of the pile, (ii) an increase in D/H, (ii) an increase in the friction angle (<InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40891_2025_629_Article_IEq15.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\upvarphi\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">φ</mi> </math></EquationSource> </InlineEquation>) of the soil, and (iii) an increase in the interface roughness factor (m) of the pile-soil interface. The computational results provided herein will be useful for designing a contiguous piled wall.</p>

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Stability Analysis of Vertical Excavation Supported by a Contiguous Piled Wall

  • Sudipto Mukherjee,
  • Jyant Kumar

摘要

A three-dimensional finite elements limit analysis (FELA) has been performed to assess the stability of a vertical excavation supported by a contiguous piled wall in a soft cohesive-frictional soil mass. The pile has been embedded to a depth D below the base of an excavation which is having height H. The value of the maximum soil unit weight ( \({\upgamma }_{\text{cr}}),\) γ cr ) , which induces the failure of the excavation supported by piles, has been computed. For a given diameter (d) of the pile, several combinations of clear spacing (s) between the piles, pile-soil interface roughness factor (m), and the shear strength material parameters ( \(c,\upvarphi\) c , φ ) of the soil mass have been chosen to compute the stability number ( \(\upgamma\) γ cr H/c). For simulating the problem with the limiting case of \(\frac{s}{d} = 0,\) s d = 0 , a plane strain analysis has also been carried out for an excavation supported by a continuous wall, having thickness d, to determine the corresponding solution with a given D/H. The stability number for a contiguous piled wall increases continuously with (i) a decrease in the spacing to diameter ratio (s/d) of the pile, (ii) an increase in D/H, (ii) an increase in the friction angle ( \(\upvarphi\) φ ) of the soil, and (iii) an increase in the interface roughness factor (m) of the pile-soil interface. The computational results provided herein will be useful for designing a contiguous piled wall.