Recent questions tagged foundation-engineering

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GATE2020-CE-1-35
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 $70\:kN/m^2$ at the ground level. The water table is at a depth of $3\:m$ below ground level. The soil unit weight ... $kPa$) at points $P$ and $Q$, respectively, are $124$ and $204$ $36$ and $ 90$ $36$ and $126$ $54$ and $95$

go_editor asked in Foundation Engineering Feb 28, 2020

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2

GATE2020-CE-1-50
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 $(Mm^3)$, the water table rose to $103.20\:m$. After this recharge,ground ... $Mm^3$ and round off to two decimal places), is ______.

go_editor asked in Foundation Engineering Feb 28, 2020

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3

GATE2017 CE-2-6
Consider a rigid retaining wall with partially submerged cohesionless backfill with a surcharge. Which one of the following diagrams closely represents the Rankine’s active earth pressure distribution against this?

gatecse asked in Foundation Engineering Aug 7, 2019

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4

GATE2017 CE-2-17
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 found to be $180$ kPa. The ultimate bearing capacity (in kPa) of a $2$ m wide square footing would be $27$ $180$ $1200$ $2000$

gatecse asked in Foundation Engineering Aug 7, 2019

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5

GATE2017 CE-2-21
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 between the two sides of the sheet pile is $4$ m. The flow net is constructed with ... of equipotential lines. The quantity of seepage (in $cm^3/s$ per m, up to one decimal place) under the sheet pile is _________

gatecse asked in Foundation Engineering Aug 7, 2019

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6

GATE2017 CE-2-34
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 bearing capacity factor $N_q$ for $\phi = 30 ^{\circ}$ as $24$. If $Q_{P1}$ and $Q_{P2}$ represent the ultimate point ... by about $100 \%$ $Q_{P1} > Q_{P2}$ by about $5 \%$ $Q_{P1} < Q_{P2}$ by about $5 \%$

gatecse asked in Foundation Engineering Aug 7, 2019

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7

GATE2017 CE-2-44
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, one at each corner. The vertical stress increment (in kPa, up to one decimal place) due to these loads according to the Boussinesq’s equation, at a point $5$ m right below M, is _______

gatecse asked in Foundation Engineering Aug 7, 2019

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8

GATE2019 CE-1: 16
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 soil having angle of internal friction $\phi$. If the active lateral thrust acting on the wall is $P_a$ ... $P_a$ acts at a height $H/3$ from the base of the wall and at an angle $\phi$ with the horizontal

Arjun asked in Foundation Engineering Feb 14, 2019

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9

GATE2019 CE-1: 20
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 diameter $10 \: cm$ and height $2.50 \: m$. The suspension is allowed to ... $0.45$ and $0.50 \: mm$ from the suspension is _________

Arjun asked in Foundation Engineering Feb 14, 2019

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10

GATE2019 CE-1: 25
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 point of the loading, as per Boussinesq’s theory, would be _____

Arjun asked in Foundation Engineering Feb 14, 2019

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11

GATE2019 CE-1: 29
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 depths in a sand deposit, the vertical normal contact stress at the footing edge is greater than that at its centre. R - ... FALSE; Q - FALSE; R - TRUE P - TRUE; Q - TRUE; R - FALSE P - FALSE; Q - FALSE; R - FALSE

Arjun asked in Foundation Engineering Feb 14, 2019

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12

GATE2019 CE-1: 41
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 $=0.85$) with bed porosity of $0.4$. The bed has to be backwashed at ... the terminal settling velocity of sand particles is $0.05 \: m/s$, the expanded bed depth (in $m$ round off to $2$ decimal places) is _______

Arjun asked in Foundation Engineering Feb 14, 2019

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13

GATE2019 CE-1: 52
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 adhesion factor is $0.5$. The Net Ultimate Pullout (uplift) Load for the pile (in $kN$, round off to $1$ decimal place) is __________

Arjun asked in Foundation Engineering Feb 14, 2019

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14

GATE2019 CE-1: 55
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 bearing capacity of $600 \: kPa$ ... deposit. For a factor of safety of $3.0$ as per Terzaghi's theory, the safe bearing capacity (in $kPa$) of this footing would be _________

Arjun asked in Foundation Engineering Feb 14, 2019

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15

GATE2019 CE-2: 25
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 was recorded as $10 \: mm$. The ultimate consolidation settlement was estimated in ... soil site, the expected consolidation settlement in January $2019$( in mm, round off to the nearest integer) will be _______

Arjun asked in Foundation Engineering Feb 12, 2019

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16

GATE2019 CE-2: 52
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 increment in vertical stress (in $kPa$) at a depth of $2\: m$ below the footing is _______

Arjun asked in Foundation Engineering Feb 12, 2019

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17

GATE2019 CE-2: 54
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 pile in the last $5$ blows is $40 \: mm$. Use the Engineering News Record ... to energy losses) of $2.5 \: cm$. The safe load carrying capacity of the pile (in $kN$, round off to $2$ decimal places) is __________

Arjun asked in Foundation Engineering Feb 12, 2019

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18

GATE2019 CE-2: 55
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 $\phi = 25^{\circ}$, and unit weight $\gamma = 18 \: kN/m^3$. Terzaghi's bearing capacity ... and $N_{\gamma}' =3.2$. The ultimate bearing capacity of the foundation (in $kPa$, round off to $2$ decimal places) is _________

Arjun asked in Foundation Engineering Feb 12, 2019

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19

GATE2016-2-12
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 $G=0.7i+1$ $G=1.43i-1$ $G=1.43i+1$ $G=0.7i-1$

Milicevic3306 asked in Foundation Engineering Mar 28, 2018

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20

GATE2016-2-41
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 level. The entire soil mass is retained by a concrete retaining wall and is ... the wall is smooth ans vertical. The total active earth pressure (expressed in $kN/m^2$) at point A as per Rankine's theory is __________

Milicevic3306 asked in Foundation Engineering Mar 28, 2018

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21

GATE2016-2-44
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 $5.5 \: m$ ... equation and a factor of safety $F_s=2.5$, the net safe bearing capacity (expressed in $kN/m^2$) for local shear failure of the soil is _______

Milicevic3306 asked in Foundation Engineering Mar 28, 2018

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22

GATE2016-2-45
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 $10 \: m/s$ strikes the plate at its mid-point, at an angle of $30^{\circ}$ with ... neglect the self-weight of the plate. The force $F$ (expressed in $N$) required to keep the plate in its vertical position is _____________

Milicevic3306 asked in Engineering Mechanics Mar 28, 2018

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23

GATE2016-1-13
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 $K_p$ ... $\dfrac{4c \sqrt{K_a}}{\gamma } \\$ $\dfrac{4c}{\gamma \sqrt{K_a}}$

Milicevic3306 asked in Foundation Engineering Mar 28, 2018

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24

GATE2016-1-41
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. The minimum weight of the wall (expressed in kN per m length) required to prevent it from overturning about its toe (Point $\color{Red}{P}$) is $120$ $180$ $240$ $360$

Milicevic3306 asked in Foundation Engineering Mar 28, 2018

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25

GATE2017 CE-1: 10
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 $2 \pi \: c_u$ $\pi \: c_u$ $( \pi +1) \: c_u$ $(\pi + 2) \: c_u$

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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26

GATE2017 CE-1: 11
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 $4$ m, right below the line of loading, is $0.25$ $0.5$ $2.0$ $4.0$

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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27

GATE2017 CE-1: 46
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 $3 \: m^2$ ... . The total axial frictional resistance (in kN, up to one decimal place) mobilized on the pile against the driving is _____________

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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28

GATE2017 CE-1: 47
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 $\gamma_w = 9.81 \: kN/m^3$. The value of the effective angle of internal friction (in degrees, up to one decimal place) of the sand is ________.

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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29

GATE2015-2-13
In friction circle method of slope stability analysis, if $r$ defines the radius of the slip circle, the radius of friction circle is: $r \sin \phi$ $r$ $r \cos \phi$ $r \tan \phi$

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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30

GATE2015-2-14
Net ultimate bearing capacity of a footing embedded in a clay stratum increases with depth of footing only increases with size of footing only increases with depth and size of footing is independent of depth and size of footing

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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31

GATE2015-2-15
Surcharge loading required to be placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eliminate tensile crack is: $2 \: c$ $2 \: c \: k_a$ $2 c \sqrt{k_a}$ $2 c/ \sqrt{k_a}$

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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32

GATE2015-2-39
A pile of diameter $0.4$ m is fully embedded in a clay stratum having $5$ layers, each $5$ m thick as shown in the figure below. Assume a constant unit weight of soil as $18 \: kN/m^3$ for all the layers. Using $\lambda$-method. ($ \lambda = 0.15$ for $25$ m embedment length) and neglecting the end bearing component the ultimate pile capacity (in kN) is ___________.

Milicevic3306 asked in Geotechnical Engineering Mar 26, 2018

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33

GATE2015-2-41
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 internal friction. $\phi = 30^{\circ}$ while the bottom layer is $3$ m thick clay with cohesion, $c=20$ ... $150$ $216$ $156$ $196$

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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34

GATE2015-1-14
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 is further observed that, an increase of $50$ kPa in deviatoric stress results in an increase of $25$ kPa in the pore pressure. The value of $\textit{Skempton’s pore pressure parameter B}$ is $0.5$ $0.625$ $0.8$ $1.0$

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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35

GATE2015-1-40
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 $2$ ... of consolidation of the layer is $0.003 \: cm^2/s$, the deposit will experience a total of $50$ mm settlement in the next _____ years.

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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36

GATE2015-1-42
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 footing. Considering one-way eccentricity, the $\textit{net safe}$ load carrying capacity of the footing for a factor ... : $F_{qd} = F_{\gamma d} = 1.113$; Inclination factors: $F_{qi} = 0.444, \: F_{\gamma i}=0.02$

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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37

GATE2014-2-39
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 where; angle of internal friction $(\phi)=30^{\circ}$ ... $(K)=2.7$ and the bearing capacity factor $(N_q)=25$, the ultimate bearing capacity of the pile (in kN) is ________

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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38

GATE2014-2-40
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, $E_s’=30$ MPa and Poisson’s ratio, $v_s=0.3$. The raft is made of concrete ($E_c=30$ GPa and $v_c=0.15$). Considering the raft as rigid, the elastic settlement (in mm) is $50.96$ $53.36$ $63.72$ $66.71$

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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39

GATE2014-1-37
Group I contains representative load-settlement curves for different modes of bearing capacity failures of sandy soil. Group II enlists the various failure characteristics. Match the load-settlement curves with the corresponding failure characteristics. ... $P - 3, \: Q - 1, \: R - 2$ $P - 1, \: Q - 2, \: R - 3$

Milicevic3306 asked in Geotechnical Engineering Mar 26, 2018

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40

GATE2014-1-15
The action of negative skin friction on the pile is to increase the ultimate load on the pile reduce the allowable load on the pile maintain the working load on the pile reduce the settlement of the pile

Milicevic3306 asked in Foundation Engineering Mar 26, 2018

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