Recent questions tagged foundation-engineering

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A square footing of size $2.5 \mathrm{~m} \times 2.5 \mathrm{~m}$ is placed $1.0 \mathrm{~m}$ below the ground surface on a cohesionless homogeneous soil stratum. Conside...
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A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at th...
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A vertical trench is excavated in a clayey soil deposit having a surcharge load of $30 \mathrm{~kPa}$. A fluid of unit weight $12 \mathrm{~kN} / \mathrm{m}^3$ is poured i...
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Read the following statements:While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity.For slope sta...
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A concentrically loaded isolated square footing of size $2 \; \text{m} \times 2 \; \text{m}$ carries a concentrated vertical load of $1000 \; \text{kN}.$ Considering Bous...
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Match the following in $\textbf{Column X}$ with $\textbf{Column Y}:$$\begin{array} {|l|l|} \hline \qquad \qquad \qquad \qquad \qquad \textbf{Column X} & \textbf{Column Y}...
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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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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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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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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 horizontal force of $\text{P kN}$ is applied to a homogeneous body of weight $25$ $\text{kN}$, as shown in the figure. The coefficient of friction between the body and ...
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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 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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In a homogenous unconfined aquifer of area $3.00\:km^2$, the water table was at an elevation of $102.00\:m$. After a natural recharge of volume $0.90$ million cubic meter...
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Consider a rigid retaining wall with partially submerged cohesionless backfill with a surcharge. Which one of the following diagrams closely represents the Rankine’s acti...
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The plate load test was conducted on a clayey strata by using a plate of $0.3 \: m \times 0.3 \: m$ dimensions, and the ultimate load per unit area for the plate for foun...
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A sheet pile has an embedment depth of $12$ m in a homogeneous soil stratum. The coefficient of permeability of soil is $10^{-6} m/s$. Difference in the water levels betw...
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Two identical concrete piles having the plan dimensions $50 \: cm \times 50 \: cm$ are driven into a homogeneous sandy layers as shown in the figures. Consider the bearin...
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Consider a square shaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical loads of $P=5000$ kN are applied on this area, on...
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A retaining wall of height $H$ with smooth vertical backface supports a backfill inclined at an angle $\beta$ with the horizontal. The backfill consists of cohesionless s...
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A completely mixed dilute suspension of sand particles having diameters $0.25, \: 0.35, \: 0.40, \: 0.45$ and $0.50 \: mm$ are filled in a transparent glass column of dia...
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A concentrated load of $500 \: kN$ is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of $2 \: m$ and $4 \: m$ along the p...
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For the following statements:P – The lateral stress in the soil while being tested in an oedometer is always at-rest.Q – For a perfectly rigid strip footing at deeper dep...
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A $0.80 \: m$ deep bed of sand filter (length $4 \:m $ and width $3 \: m$) is made of uniform particles (diameter $=0.40 \: mm$, specific gravity $=2.65$, shape factor $=...
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A reinforced concrete circular pile of $12 \: m$ length and $0.6 \: m$ diameter is embedded in stiff clay which has an undrained unit cohesion of $110 \: kN/m^2$. The adh...
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A square footing of $ 4 \: m$ side is placed at $1 \: m$ depth in a sand deposit. The dry unit weight $( \gamma)$ of sand is $15 \: kN/m^3$. This footing has an ultimate ...
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Construction of a new building founded on a clayey soil was completed in January $2010$. In January $2014$, the average consolidation settlement of the foundation in clay...
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A $2 \: m \times 4 \: m$ rectangular footing has to carry a uniformly distributed load of $120 \: kPa$. As per the $2:1$ dispersion method of stress distribution, the inc...
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A timber pile of length $8 \: m$ and diameter $0.2 \: m$ is driven with a $20 \: kN$ drop hammer, falling freely from a height of $1.5 \: m$. The total penetration of the...
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A square footing of $2 \: m$ sides rests on the surface of a homogeneous soil bed having the properties: cohesion $c= 24 \: kPa$, angle of internal friction $\phi = 25^{\...
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The relationship between the specific gravity of sand $(G)$ and the hydraulic gradient $(i)$ to initiate quick condition in the sand layer having porosity of $30 \%$ is$G...
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The soil profile at a site consists of a $5 \: m$ thick sand layer underlain by a $c - \phi$ soil as shown in figure. The water table is found $1 \: m$ below the ground l...
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A $4 \: m$ wide strip footing is founded at a depth of $1.5 \: m$ below the ground surface in a $c-\phi$ soil as shown in the figure. The water table is at a depth of $5....
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A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of $20 \: mm$ diameter having a velocity of $10 \: m/s$...
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A vertical cut is to be made in a soil mass having cohesion $c$, angle of internal friction $\phi$, and unit weight $\gamma$. Considering $K_a$ and $K_p$ as the cofficien...
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A homogeneous gravity retaining wall supporting a cohesionless backfill is shown in the figure. The lateral active earth pressure at the bottom of the wall is $40$ kPa.Th...
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A strip footing is resting on the ground surface of a pure clay bed having an undrained cohesion $c_u$. The ultimate bearing capacity of the footing is equal to$2 \pi \: ...
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A uniformly distributed line road of $500 \: kN/m$ is acting on the ground surface. Based on Boussinesq’s theory, the ratio of vertical stress at a depth $2$ m to that at...