Recent questions in Foundation Engineering

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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 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...
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It is proposed to drive H-piles up to a depth of $7$ m at a construction site. The average surface area of the H-pile is $3 \: m^2$ per meter length. The soil at the site...
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The infinite sand slope shown in the figure is on the verge of sliding failure. The ground water table coincides with the ground surface. Unit weight of water $\gamma_w =...
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In friction circle method of slope stability analysis, if $r$ defines the radius of the slip circle, the radius of friction circle is:$r \sin \phi$$r$$r \cos \phi$$r \tan...
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Net ultimate bearing capacity of a footing embedded in a clay stratumincreases with depth of footing onlyincreases with size of footing onlyincreases with depth and size ...
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Surcharge loading required to be placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eliminate tensile crack is:$2 \: c$$2 \: c \: k...
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A $6$ m high retaining wall having a smooth vertical back face retains a layered horizontal backfill. Top $3$ m thick layer of the backfill is sand having an angle of int...
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In an unconsolidated undrained triaxial test, it is observed that an increase in cell pressure from $150$ kPa to $250$ kPa leads to a pore pressure increase $80$ kPa. It ...
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A $20$ m thick clay layer is sandwiched between a silty sand layer and a gravelly sand layer. The layer experiences $30$ mm settlement in $2$ years.Given:$T_v = \begin{ca...
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A square footing $(2\:m \times 2\:m)$ is subjected to an inclined point load, $P$ as shown in the figure below. The water table is located well below the base of the foot...
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A circular raft foundation of $20$ m diameter and $1.6$ m thick is provided for a tank that applies a bearing pressure of $110$ kPa on sandy soil with Young’s modulus, $E...
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A single vertical friction pile of diameter $500$ mm and length $20$ m is subjected to a vertical compressive load. The pile is embedded in a homogeneous sandy stratum wh...
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The action of negative skin friction on the pile is toincrease the ultimate load on the pilereduce the allowable load on the pilemaintain the working load on the pileredu...
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The degree of disturbance of the sample collected by the sampler is expressed by a term called the “area ratio”. If the outer diameter and inner diameter of the sampler a...
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A multistory building with a basement is to be constructed. The top $4$ m consists of loose silt, below which dense sand layer is present up to a great depth. Ground wate...
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A multistory building with a basement is to be constructed. The top $4$ m consists of loose silt, below which dense sand layer is present up to a great depth. Ground wate...
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The latitude and departure of a line AB are $+78$ m and $-45.1$ m respectively. The whole circle bearing of the line AB is $30^{\circ}$$150^{\circ}$$210^{\circ}$$330^{\ci...
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Four columns of a building are to be located within a plot size of $10 \: m \times 10 \: m$. The expected load on each column is $4000$ kN. Allowable bearing capacity of ...
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The flow net around a sheet pile wall is shown in the sketch. The properties of the soil are: permeability coefficient $0.09 \: m/day$ (isotropic), specific gravity $=2.7...
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The flow net around a sheet pile wall is shown in the sketch. The properties of the soil are: permeability coefficient $0.09 \: m/day$ (isotropic), specific gravity $=2.7...