Recent questions tagged geotechnical-engineering

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1

GATE2020-CE-1-7
In a two-dimensional stress analysis, the state of stress at a point $P$ is $\begin{bmatrix} \sigma \end{bmatrix} = \begin{bmatrix}\sigma_{xx} &\tau_{xy} \\ \tau_{xy} &\sigma_{yy} \end{bmatrix}$ The necessary and sufficient condition for existence of the state of pure shear at ... $\tau_{xy}=0$ $\sigma_{xx}+\sigma_{yy}=0$ $(\sigma_{xx}-\sigma_{yy})^2+4\tau^2_{xy}=0$

go_editor asked in Soil Mechanics Feb 28, 2020

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2

GATE2020-CE-1-22
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 degree, round off to the nearest integer) of the sample, is ______

go_editor asked in Soil Mechanics Feb 28, 2020

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3

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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4

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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5

GATE2020 CE-2-6
The state of stress represented by Mohr’s circle shown in the figure is uniaxial tension biaxial tension of equal magnitude hydrostatic stress pure shear

go_editor asked in Soil Mechanics Feb 13, 2020

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6

GATE2020 CE-2-10
Soil deposit formed due to transportation by wind is termed as aeolian deposit alluvial deposit estuarine deposit lacustrine deposit

go_editor asked in Soil Mechanics Feb 13, 2020

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7

GATE2020 CE-2-11
A sample of $500\:g$ dry sand, when poured into a $2$ litre capacity cylinder which is partially filled with water, displaces $188\:cm^3$ of water. The density of water is $1\:g/cm^3.$ The specific gravity of the sand is $2.72$ $2.66$ $2.55$ $2.52$

go_editor asked in Soil Mechanics Feb 13, 2020

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8

GATE2020 CE-2-34
Permeability tests were carried out on the samples collected from two different layers as shown in the figure (not drawn to the scale). The relevant horizontal $(k_h)$ and vertical $(k_v)$ coefficients of permeability are indicated for each layer. The ratio of the equivalent horizontal to vertical coefficients of permeability, is $37.29$ $80.20$ $68.25$ $0.03$

go_editor asked in Soil Mechanics Feb 13, 2020

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9

GATE2020 CE-2-35
A $10\ m$ high slope of dry clay soil $\text{( unit weight}\: = 20 kN/m^3$), with a slope angle of $45^{\circ}$and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by $W$. The undrained unit cohesion $(c_u)$ is $60\: kPa$. The factor of safety of the slope against slip failure, is $1.84$ $1.57$ $0.58$ $1.67$

go_editor asked in Geotechnical Engineering Feb 13, 2020

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10

GATE2017 CE-2-4
Let $G$ be the specific gravity of soil solids, $w$ the water content in the soil sample, $\gamma_w$ the unit weight of water, and $\gamma_d$ ... $\gamma_d = \dfrac{Gw}{1 + \gamma_w} \\$ $\gamma_d = \dfrac{Gw}{1 - \gamma_w}$

gatecse asked in Soil Mechanics Aug 7, 2019

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11

GATE2017 CE-2-5
Consider the following statements related to pore pressure parameters, $A$ and $B$: $A$ always lies between $0$ and $1.0$ $A$ can be less than $0$ or greater than $1.0$ $B$ always lies between $0$ and $1.0$ $B$ can be less than $0$ or greater than $1.0$ For these statements, which of the following options is correct? P and R P and S Q and R Q and S

gatecse asked in Soil Mechanics Aug 7, 2019

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12

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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13

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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14

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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15

GATE2017 CE-2-35
Following are the statements related to the stress paths in a triaxial testing of soils: If $\sigma_1 = \sigma_3$, the stress point lies at the origin of the $p-q$ plot If $\sigma_1 = \sigma_3$, the stress point lies on the $p$-axis of the $p-q$ plot If $\sigma_1 > \sigma_3$, ... - True P - True; Q - False; R - True P - False; Q - True; R - False P - True; Q - False; R - False

gatecse asked in Soil Mechanics Aug 7, 2019

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16

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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17

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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18

GATE2019 CE-1: 17
In a soil specimen, the total stress, effective stress, hydraulic gradient and critical hydraulic gradient are $\sigma, \: \sigma’$, $i$ and $i_c$, respectively. For initiation of quicksand condition, which one of the following statements is TRUE? $\sigma’ \neq 0$ and $i=i_c$ $\sigma’ = 0$ and $i=i_c$ $\sigma’ \neq 0$ and $i \neq i_c$ $\sigma = 0$ and $i=i_c$

Arjun asked in Soil Mechanics Feb 14, 2019

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19

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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20

GATE2019 CE-1: 24
A soil has specific gravity of its solids equal to $2.65$. The mass density of water is $1000 \: kg/m^3$. Considering zero air voids and $10 \%$ moisture content of the soil sample, the dry density (in $kg /m^3$, round off to $1$ decimal place) would be ______

Arjun asked in Soil Mechanics Feb 14, 2019

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21

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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22

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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23

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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24

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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25

GATE2019 CE-1: 53
A granular soil has a saturated unit weight of $20 \:kN/m^3$ and an effective angle of shearing resistance of $30^{\circ}$. The unit weight of water is $9.81 \: kN/m^3$. A slope is to be made on this soil deposit in which the seepage occurs ... seepage condition for a factor of safety of $1.5$, the safe slope angle (in degree, round off to $1$ decimal place) would be ________

Arjun asked in Soil Mechanics Feb 14, 2019

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26

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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27

GATE2019 CE-2: 16
The notation “SC” as per Indian Standard Soil Classification System refers to Sandy clay Silty clay Clayey silt Clayey sand

Arjun asked in Geotechnical Engineering Feb 12, 2019

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28

GATE2019 CE-2: 17
An anisotropic soil deposit has coefficient of permeability in vertical and horizontal directions as $k_z$ and $k_x$, respectively. For constructing a flow net, the horizontal dimension of the problem’s geometry is transformed by a multiplying factor of $\sqrt{\dfrac{k_z}{k_x}} \\$ $\sqrt{\dfrac{k_x}{k_z}} \\$ $\dfrac{k_x}{k_z} \\$ $\dfrac{k_z}{k_x}$

Arjun asked in Geotechnical Engineering Feb 12, 2019

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29

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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30

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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31

GATE2019 CE-2: 53
Constant head permeability tests were performed on two soil specimens, $S1$ and $S$. The ratio of height of the two specimens $(L_{S1}: L_{S2})$ is $1.5$, the ratio of the diameter of specimens $(D_{S1}: D_{S2})$ is $0.5$, and the ratio of the ... $(k_{S1}: k_{S2})$ is _____

Arjun asked in Soil Mechanics Feb 12, 2019

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32

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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33

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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34

GATE2016-2-11
A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is doubled, the ultimate bearing capacity of the soil becomes double becomes half becomes four-times remains the same

Milicevic3306 asked in Geotechnical Engineering Mar 28, 2018

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35

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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36

GATE2016-2-13
The results of a consolidation test on an undisturbed soil, sampled at a depth of $10 \: m$ ... weight of water as $10 \: kN/m^3$, the over-consolidation ratio of the soil is $0.67$ $1.50$ $1.77$ $2.00$

Milicevic3306 asked in Soil Mechanics Mar 28, 2018

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37

GATE2016-2-17
The atmospheric layer closest to the earth surface is the mesosphere the stratosphere the thermosphere the troposphere

Milicevic3306 asked in Soil Mechanics Mar 28, 2018

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38

GATE2016-2-40
The seepage occurring through an earthen dam is represented by a flownet comprising of $10$ equipotential drops and $20$ flow channels. The coefficient of permeability of the soil is $3 \: mm/min$ and the head loss is $5 \: m$. The rate of seepage (expressed in $cm^3/s$ per $m$ length of the dam) through the earthen dam is _________

Milicevic3306 asked in Soil Mechanics Mar 28, 2018

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39

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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40

GATE2016-2-42
OMC-SP and MDD-SP denote the optimum moisture content and maximum dry density obtained from standard Proctor compaction test, respectively. OMC-MP and MDD-MP denote the optimum moisture content and maximum dry density obtained from the modified Proctor compaction test, respectively. Which one of the ... $>$ MDD-MP OMC-SP $>$ OMC-MP and MDD-SP $>$ MDD-MP

Milicevic3306 asked in Geotechnical Engineering Mar 28, 2018

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