1
GATE CE 2025 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The results of a consolidated drained triaxial test on a normally consolidated clay are shown in the figure. The angle of internal friction is

GATE CE 2025 Set 1 Geotechnical Engineering - Shear Strength of Soil Question 1 English
A
$\sin ^{-1}\left(\frac{1}{2}\right)$
B
$\sin ^{-1}\left(\frac{1}{3}\right)$
C
$\sin ^{-1}\left(\frac{2}{3}\right)$
D
$\sin ^{-1}\left(\frac{3}{4}\right)$
2
GATE CE 2025 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The standard plasticity chart for the classification of a fine-grained soil is shown in the figure. As per the Indian standard soil classification system, $X$ represents

GATE CE 2025 Set 1 Geotechnical Engineering - Classification of Soils and Clay Mineralogy Question 1 English
A
inorganic clay with medium plasticity
B
inorganic silt with medium plasticity
C
inorganic clay with high plasticity
D
inorganic silt with high compressibility
3
GATE CE 2025 Set 1
MCQ (Single Correct Answer)
+2
-0.67

In an oedometer apparatus a specimen of fully saturated clay has been consolidated under a vertical pressure of 100 kPa and is at equilibrium state. Immediately on increasing the vertical pressure to 150 kPa , the effective stress $\sigma^{\prime}$ and excess pore water pressure $\Delta u$ will be

A
$\sigma^{\prime}=50 \mathrm{kPa}, \Delta u=100 \mathrm{kPa}$
B
$\sigma^{\prime}=100 \mathrm{kPa}, \Delta u=50 \mathrm{kPa}$
C
$\sigma^{\prime}=150 \mathrm{kPa}, \Delta u=50 \mathrm{kPa}$
D
$\sigma^{\prime}=100 \mathrm{kPa}, \Delta u=150 \mathrm{kPa}$
4
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 1 English

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