GATE 2025 Civil Engineering Q55

Question

The bank of a canal has the profile shown in the figure. The material is a homogeneous clay with a bulk unit weight of 20 kN/m³, undrained cohesion of 30 kPa and it is fully saturated ($\phi_u = 0$). For the trial slip circle shown, the area ABCDEA is 150 m² and the centroid is at P. A tension crack (DE) of 2.5 m deep was also observed. Assume unit weight of water is 9.81 kN/m³ and consider 1 m run of the bank for the analysis.
Considering the canal is empty and tension crack is completely filled with water, the factor of safety against slope failure of the bank is ________ (round off to two decimal places).

Accepted Answer

1.00 to 1.10