Recent questions in Geotechnical Engineering

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A group of total $16$ piles are arranged in a square grid format. The center-to-center spacing $(s)$ between adjacent piles is $3 \; \text{m}.$ The diameter $(d)$ and len...
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A saturated compressible clay layer of thickness $h$ is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pr...
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Four different soils are classified as $\text{CH, ML, SP, and SW}$, as per the Unified Soil Classification System. Which one of the following options correctly represents...
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Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must...
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Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following s...
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An uncompacted heap of soil has a volume of $10000\: m^{3}$ and void ratio of $1$. If the soil is compacted to a volume of $7500\: m^{3}$, then the corresponding void rat...
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A concentrated vertical load of $3000$ $\text{kN}$ is applied on a horizontal ground surface. Points $P$ and $Q$ are at depths $1 \:m$ and $2\: m$ below the ground, respe...
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At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance $q_{c}$ was $1000$ $\text{kPa}$ at a certain depth. The friction ratio $(f_{r...
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The correct match between the physical states of the soils given is Group $\text{I}$ and the governing conditions given in Group $\text{II}$ is$\begin{array}{|c|c|} \hlin...
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As per Rankine's theory of earth pressure, the inclination of failure planes is $\left ( 45 + \frac{\phi }{2} \right )^{\circ}$ with respect to the direction of the minor...
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A square concrete pile of $10\: m$ length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through...
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A raft foundation of $30\:m \times 25\:m$ is proposed to be constructed at a depth of $8\:m$ in a sand layer. A $25\:m$ thick saturated clay layer exists $2 m$ below the ...
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For the dual-wheel carrying assembly shown in the figure, $P$ is the load on each wheel, $a$ is the radius of the contact area of the wheel, $s$ is the spacing between th...
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The most appropriate triaxial test to assess the long-term stability of an excavated clay slope isconsolidated drained testunconsolidated undrained testconsolidated undra...
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As per the Unified Soil Classification System $\text{(USCS)}$, the type of soil represented by ‘$\text{MH}$’ isInorganic silts of high plasticity with liquid limit more t...
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The internal $(d_{i})$ and external $(d_{o})$ diameters of a Shelby sampler are $\text{48 mm}$ and $\text{52 mm}$, respectively. The area ratio $(A_{r})$ of the sampler (...
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A clay layer of thickness $\text{H}$ has a preconsolidation pressure $p_{c}$ and an initial void ratio $e_{0}$.The initial effective overburden stress at the mid-height o...
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From laboratory investigations, the liquid limit, plastic limit, natural moisture content and flow index of a soil specimen are obtained as $60\%, 27\%, 32\%$ and $27$, r...
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A rectangular footing of size $\text{2.8 m}$ $\times$ $\text{3.5 m}$ is embedded in a clay layer and a vertical load is placed with an eccentricity of $\text{0.8 m}$ as s...
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The soil profile at a road construction site is as shown in figure (not to scale). A large embankment is to be constructed at the site. The ground water table $\text{(GWT...
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The void ratio of a clay soil sample $\text{M}$ decreased from $0.575$ to $0.510$ when the applied pressure is increased from $\text{120 kPa}$ to $\text{180 kPa}$. For th...
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In an Oedometer apparatus, a specimen of fully saturated clay has been consolidated under a vertical pressure of $\text{50 kN/m}^2$ and is presently at equilibrium. The e...
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A partially-saturated soil sample has natural moisture content of $25\%$ and bulk unit weight of $\text{18.5 kN/m}^3$. The specific gravity of soil solids is $2.65$ and u...
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The cohesion $\text{(c)}$, angle of internal friction $\left ( \phi \right )$ and unit weight $\left ( \gamma \right )$ of a soil are $15$ $\text{kPa}$, $20^{\circ}$ and ...
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Based on drained triaxial shear tests on sands and clays, the representative variations of volumetric strain $\left ( \Delta V/V \right )$ with the shear strain $\left ( ...
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The soil profile at a construction site is shown in the figure (not to scale). Ground water table $\text{(GWT)}$ is at $5 \text{ m}$ below the ground level at present. An...
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A retaining wall of height $10 \text{ m}$ with clay backfill is shown in the figure (not to scale). Weight of the retaining wall is $\text{5000 kN per m}$ acting at $3.3 ...
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A combined trapezoidal footing of length $L$ supports two identical square columns $ (P_1$ and $P_{2})$ of size $0.5 \text{ m} \times 0.5\text{ m}$, as shown in the figu...
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An unsupported slope of height $\text{15 m}$ is shown in the figure (not to scale), in which the slope face makes an angle $50^{\circ}$ with the horizontal. The slope mat...
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In a two-dimensional stress analysis, the state of stress at a point $P$ is $$\begin{bmatrix} \sigma \end{bmatrix} = \begin{bmatrix}\sigma_{xx} &\tau_{xy} \\ \tau_{xy} &\...
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The Los Angeles test for stone aggregates is used to examineabrasion resistancecrushing strengthsoundnessspecific gravity
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Which one of the following statements is. $\textbf{NOT}$ correct?A clay deposit with a liquidity index greater than unity is in a state of plastic consistency.The cohesio...
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In a soil investigation work at a site, Standard Penetration Test (SPT) was conducted at every $1.5\:m$ interval upto $30\: m$ depth. At $3\:m$ depth, the observed number...
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In a drained triaxial compression test, a sample of sand fails at deviator stress of $150\:kPa$ under confining pressure of $50\:kPa$. The angle of internal friction (in ...
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A fully submerged infinite sandy slope has an inclination of $30^\circ{}$ with the horizontal. The saturated unit weight and effective angle of internal friction of sand ...
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Distributed load(s) of $50\:kN/m$ may occupy position(s) (either continuously or in patches) on the girder $\textbf{PQRST}$ as shown in the figure (not drawn to the scale...
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The total stress paths corresponding to different loading conditions, for a soil specimen under the isotropically consolidated stress state (O), are shown below $\begin{...
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The soil profile at a site up to a depth of $10\:m$ is shown in the figure ( not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of $70\:kN/m^2$ a...
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A vertical retaining wall of $5\:m$ height has to support soil having unit weight of $18\:kN/m^3$ , effective cohesion of $12\:kN/m^2$, and effective friction angle of $3...
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Water flows in the upward direction in a tank through $2.5\;m$ thick sand layer as shown in the figure. The void ratio and specific gravity of sand are $0.58$ and $2.7$, ...