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Circular shaft wall excavation analysis with DeepEX

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Circular shaft wall excavation analysis with DeepEX. The circular hoop forces are quite similar to the original publication.

DeepEX, now offers the ability to analyze axisymmetric circular shafts. To switch on this analysis mode, the user has to first change the excavation shape type to circular. The shaft center is considered at the left model coordinate, while the radius is taken from that point to the center of the wall. With the axisymmetric analysis, the program automatically switches to the non-linear elastoplastic solution and the limit-equilibrium analysis is deactivated. Only one wall can be considered, and unbalanced loading conditions at different parts of the shafts cannot be included. As such, the axisymmetric analysis option in DeepXcav is a tool that can provide good results for simpler loading cases where loading is relatively uniform throughout the shaft perimeter.

A verification example is presented next. Vilorette & Gilbert presented a wide excavation with the following characteristics:

"This example deals with a circular diaphragm wall built by Soletanche-Bachy in Northern Europe. The internal diameter of the wall is 90m (295 ft) with a thickness of 1.20m (4 ft). The depth of excavation is 28m (92 ft), 24m (79 ft) of which is below the ground water level. The wall is permanent and without a secondary lining. The specified maximum allowable deviation was +/-0.5% of the wall height..... Buckling was an important issue as the average hoop stress was equal to 10.8MPa (1565 psi)..."

Circular shaft wall excavation analysis (Virolette & Gilbert)

The circular shaft excavation model was replicated with DeepEX. Due to lack of certain information in the publication, some parameters had to be estimated. The results reported in the original publication where:

Maximum hoop force is at 23m depth and is equal to 12.5MN.

Using Hain model buckling force is approximately equal to 95EI/R2 = 75MN.

Factor of safety on buckling is larger than 6.

Inscribed annulus thickness without deviation is equal to 1.158m.

Maximum deviation at 23m depth = 10.5cm.

Inscribed annulus thickness with +/-10.5cm deviation is equal to 0.948m.

Hoop stress at 23m depth without deviations is equal to 10.8MPa.

Hoop stress at 23m depth with +/-10.5cm deviations is equal to 13.2MPa.

DeepEX reported: Maximum hoop force 13.82 MN and FSbuckling= 7.1, and a reported hoop stress (with deviations)= 14.6 MPa. These results can be considered quite similar when one considers the different analysis methods, and other assumptions that had to be made to produce this comparison.

Circular diaphragm wall analysis results

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