GATE CE 2025 Set 1 — Question 55
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Geotechnical Engineering → Shear Strength of Soils → Effective Strength Parameters
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Question
A cut slope is made in a silty clay soil for a new road project, as shown in the figure. The locations of ground water table (GWT) and potential failure surface are shown in the figure. After the cut is made, the excess pore water pressure is fully dissipated, and the shear stress at the point A is . The factor of safety at the point A for long-term stability is ___________________ (rounded off to 2 decimal places).Note:
Shear strength properties of silty clay: , , and
Unit weight of soil above the GWT () =
Unit weight of soil below the GWT () =
Unit weight of water () =
Shear strength properties of silty clay: , , and
Unit weight of soil above the GWT () =
Unit weight of soil below the GWT () =
Unit weight of water () =
Correct answer
0.96 to 0.98
Solution
Long-term stability analysis uses effective stress parameters (, ).
1.Calculate total vertical stress at point A: .
2.Calculate pore water pressure at point A: .
3.Calculate effective vertical stress at point A: .
4.Calculate shear strength at point A: .
5.Factor of Safety .
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