Geotechnical Engineering
Origin of Soils
Marks 1
Definitions and Properties of Soils
Marks 1Marks 2
Classification of Soils and Clay Mineralogy
Marks 1
Effective Stress and Permeability
Marks 1Marks 2
Seepage Analysis
Marks 1Marks 2
Compaction of Soil
Marks 1Marks 2
Compressibility and Consolidation
Marks 1Marks 2
Shear Strength of Soil
Marks 1Marks 2
Stress Distribution of Soil
Marks 1Marks 2
Retaining Wall and Earth Pressure
Marks 1Marks 2
Stability of Slopes
Marks 1Marks 2
Shallow Foundation
Marks 1Marks 2
Pile Foundation
Marks 1Marks 2
Soil Stabilization
Marks 1
1
GATE CE 2025 Set 2
Numerical
+2
-0

The bank of a canal has the profile shown in the figure. The material is a homogeneous clay with a bulk unit weight of $20 \mathrm{kN} / \mathrm{m}^3$, undrained cohesion of 30 kPa and it is fully saturated ( $\phi_u=0$ ). For the trial slip circle shown, the area ABCDEA is $150 \mathrm{~m}^2$ and the centroid is at P. A tension crack (DE) of 2.5 m deep was also observed. Assume unit weight of water is $9.81 \mathrm{kN} / \mathrm{m}^3$ 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).

GATE CE 2025 Set 2 Geotechnical Engineering - Stability of Slopes Question 1 English

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2
GATE CE 2025 Set 1
Numerical
+2
-0

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 $60 \mathrm{kN} / \mathrm{m}^2$. The factor of safety at the point A for longterm stability is __________ (rounded off to 2 decimal places).

Note:

Shear strength properties of silty clay: $c^{\prime}=15 \mathrm{kN} / \mathrm{m}^2, \phi^{\prime}=15^{\circ}$, and $c_u=75 \mathrm{kN} / \mathrm{m}^2$ Unit weight of soil above the GWT $(\gamma)=19 \mathrm{kN} / \mathrm{m}^3$

Unit weight of soil below the GWT $\left(\gamma_{\text {sat }}\right)=20 \mathrm{kN} / \mathrm{m}^3$

Unit weight of water $\left(\gamma_w\right)=9.81 \mathrm{kN} / \mathrm{m}^3$

GATE CE 2025 Set 1 Geotechnical Engineering - Stability of Slopes Question 2 English

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GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Hydrology
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude