Recent questions in Geotechnical Engineering

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1

phase relationships of soil
a natural soil deposits has bulk density of 1.90g/cm^3 and water content of 6 percent . assume G=2.67 . asuming the voids ratio to remain constant , what will be degree of saturation at water content of 16%?

sarthika asked in Soil Mechanics May 7

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2

GATE Civil 2021 Set 2 | Question: 10
The most appropriate triaxial test to assess the long-term stability of an excavated clay slope is consolidated drained test unconsolidated undrained test consolidated undrained test unconfined compression test

go_editor asked in Soil Mechanics Mar 1, 2021

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3

GATE Civil 2021 Set 2 | Question: 11
As per the Unified Soil Classification System $\text{(USCS)}$, the type of soil represented by $\text{MH}$' is Inorganic silts of high plasticity with liquid limit more than $50\%$ Inorganic silts of low plasticity with liquid limit less ... high plasticity with liquid limit less than $50\%$ Inorganic clays of low plasticity with liquid limit more than $50\%$

go_editor asked in Soil Mechanics Mar 1, 2021

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4

GATE Civil 2021 Set 2 | Question: 21
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 (in $\%, \textit{round off to two decimal palces}$) is ________________

go_editor asked in Foundation Engineering Mar 1, 2021

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5

GATE Civil 2021 Set 2 | Question: 30
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 of the layer is $p_{0}$. At the same location, the increment in effective stress due to applied external load ...

go_editor asked in Soil Mechanics Mar 1, 2021

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6

GATE Civil 2021 Set 2 | Question: 35
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 $27$, respectively. The corresponding toughness index and liquidity index of the soil specimen, respectively, are $0.15$ and $1.22$ $0.19$ and $6.60$ $1.22$ and $0.15$ $6.60$ and $0.19$

go_editor asked in Soil Mechanics Mar 1, 2021

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7

GATE Civil 2021 Set 2 | Question: 44
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 shown in the figure (not to scale). Take Bearing ... $2.5$ is ________________________

go_editor asked in Foundation Engineering Mar 1, 2021

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8

GATE Civil 2021 Set 2 | Question: 45
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 $\text{(GWT)}$ is located at the surface of the clay layer, and the ... $\text{m}$, $\textit{round off to two decimal places}$) of the clay layer resulting from this loading will be _____________________

go_editor asked in Foundation Engineering Mar 1, 2021

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9

GATE Civil 2021 Set 2 | Question: 47
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 the same increment in pressure, the void ratio of another clay ... of consolidation of sample $\text{M}$ to sample $\text{N } (\textit{round off to three decimal places}$) is __________________

go_editor asked in Soil Mechanics Mar 1, 2021

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10

GATE Civil 2021 Set 1 | Question: 7
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 effective stress and pore water pressure immediately on increasing the vertical stress to $\text{150 kN/m}^2$, ... $\text{50 kN/m}^2$ and $\text{100 kN/m}^2$ $0$ and $\text{150 kN/m}^2$

Arjun asked in Soil Mechanics Feb 20, 2021

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11

GATE Civil 2021 Set 1 | Question: 8
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 unit weight of water is $\text{9.81 kN/m}^3$. The unit weight of the soil sample on full saturation is $\text{21.12 kN/m}^3$ $\text{19.03 kN/m}^3$ $\text{20.12 kN/m}^3$ $\text{18.50 kN/m}^3$

Arjun asked in Soil Mechanics Feb 20, 2021

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12

GATE Civil 2021 Set 1 | Question: 23
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 $17.5$ $\text{kN/m}^3$, respectively. The maximum depth of unsupported excavation in the soil (in $\text{m}$, round off to two decimal places) is ______________

Arjun asked in Foundation Engineering Feb 20, 2021

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13

GATE Civil 2021 Set 1 | Question: 31
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 $\left ( \gamma \right )$ is shown in the figure. Choose ... clay Curve $P$ represents loose sand and normally consolidated clay, while Curve $Q$ represents dense sand and overconsolidated clay

Arjun asked in Soil Mechanics Feb 20, 2021

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14

GATE Civil 2021 Set 1 | Question: 44
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 old well data shows that the ground water table was as ... ratio $\text{(OCR)} (\textit{round off to two decimal places}$) at the mid-point of the clay layer is _____________________

Arjun asked in Foundation Engineering Feb 20, 2021

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15

GATE Civil 2021 Set 1 | Question: 45
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 $3.3 \text{ m}$ from the toe ... safety (round off to two decimal places) against sliding failure of the retaining wall after ignoring the passive earth pressure will be ___________________________

Arjun asked in Foundation Engineering Feb 20, 2021

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16

GATE Civil 2021 Set 1 | Question: 46
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 figure. The columns $P_{1}$ and $P_{2}$ carry loads of ... footing is uniform, the length of the combined footing $L$ (in $\text{m}, \textit{round off to two decimal places}$) is ____________________

Arjun asked in Foundation Engineering Feb 20, 2021

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17

GATE Civil 2021 Set 1 | Question: 47
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 material comprises purely cohesive soil having undrained ... of the safety against the failure of slope under undrained condition ($\textit{round off to two decimal places}$) is _____________

Arjun asked in Foundation Engineering Feb 20, 2021

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18

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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19

GATE2020-CE-1-9
The Los Angeles test for stone aggregates is used to examine abrasion resistance crushing strength soundness specific gravity

go_editor asked in Foundation Engineering Feb 28, 2020

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20

GATE2020-CE-1-10
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 cohesion of normally consolidated clay is zero when triaxial test is conducted ... 's equation predicts higher value of vertical stress at a point directly beneath the load as compared to Westergaards's equation.

go_editor asked in Foundation Engineering Feb 28, 2020

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21

GATE2020-CE-1-11
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 of hammer blows for three successive $150\:mm$ penetrations were $8,6$ and $9$,respectively. The SPT N-value at $3\:m$ depth, is $23$ $17$ $15$ $14$

go_editor asked in Foundation Engineering Feb 28, 2020

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22

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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23

GATE2020-CE-1-23
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 are $18\:kN/m^3$ and $38^\circ{}$ ... is parallel to the slope. Against shear failure of the slope, the factor of safety (round off to two decimal places) is ______.

go_editor asked in Foundation Engineering Feb 28, 2020

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24

GATE2020-CE-1-28
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) The maximum negative (hogging) bending moment (in $kN.m$) that occurs at point $\textbf{R}$, is $22.50$ $56.25$ $93.75$ $150.00$

go_editor asked in Soil Mechanics Feb 28, 2020

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25

GATE2020-CE-1-34
The total stress paths corresponding to different loading conditions, for a soil specimen under the isotropically consolidated stress state (O), are shown below ... $OP-III, OQ-II, OR-I, OS-IV$ $OP-I, OQ-III, OR-II, OS-IV$

go_editor asked in Soil Mechanics Feb 28, 2020

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26

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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27

GATE2020-CE-1-46
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 $30^\circ{}$ . As per Rankine's earth pressure theory and assuming that a ... has occurred, the lateral active thrust on the wall per meter length ( in $kN/m$ , round off to two decimal places), is __________

go_editor asked in Foundation Engineering Feb 28, 2020

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28

GATE2020-CE-1-47
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 $2.7$, respectively. The sand is fully saturated. Unit weight of water is $10\:kN/m^3$. The ... (in $kPa$, round off to two decimal places) at point $\textbf{A}$, located $1\:m$ above the base of tank, is ______.

go_editor asked in Soil Mechanics Feb 28, 2020

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29

GATE2020-CE-1-48
A $10\:m$ thick clay layer is resting over a $3\:m$ thick sand layer and is submerged. A fill of $2\:m$ thick sand with unit weight of $20\:kN/m^3$ is placed above the clay layer to accelerate the rate of consolidation of the clay layer. ... settlement (in $mm$, round off to two decimal places) of the clay layer, $10$ years after the construction of the fill, is ______.

go_editor asked in Foundation Engineering Feb 28, 2020

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30

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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31

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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32

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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33

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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34

GATE2020 CE-2-22
A soil has dry unit weight of $15.5\: kN/m^3$, specific gravity of $2.65$ and degree of saturation of $72\: %.$ Considering the unit weight of water as $10\: kN/m^3$, the water content of the soil (in $\%$ round off to two decimal places) is __________.

go_editor asked in Soil Mechanics Feb 13, 2020

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35

GATE2020 CE-2-23
A one-dimensional consolidation test is carried out on a standard $19\: mm$ thick clay sample. The oedometer’s deflection gauge indicates a reading of $2.1\: mm$, just before removal of the load, without allowing any swelling. The void ratio is $0.62$ at this stage. The initial void ratio (round off to two decimal places) of the standard specimen is __________.

go_editor asked in Soil Mechanics Feb 13, 2020

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36

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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37

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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38

GATE2020 CE-2-46
A footing of size $2\: m \times 2\: m$ transferring a pressure of $200\: kN/m^2$, is place at a depth of $1.5\: m$ below the ground as shown in the figure (not drawn to the scale ). The clay stratum is normally consolidated. The clay has ... $\gamma_w= 10\: kN/m^3$, the primary consolidation settlement in (in mm, round off to two decimal places) of the clay stratum is ________.

go_editor asked in Foundation Engineering Feb 13, 2020

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39

GATE2020 CE-2-47
A constant-head permeability test was conducted on a soil specimen under a hydraulic gradient of $2.5$. The soil specimen has specific gravity of $2.65$ and saturated water content of $20\%.$ If the coefficient of permeability of the soil is $0.1\: cm/s$, the seepage velocity (in $cm/s,$ round off to two decimal places) through the soil specimen is ________.

go_editor asked in Soil Mechanics Feb 13, 2020

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40

GATE2020 CE-2-48
A $5\: m$ high vertical wall has a saturated clay backfill. The saturated unit weight and cohesion of clay are $18\: kN/m^3$ and $20\: kPa$, respectively. The angle of internal friction of clay is zero. In order to prevent development of tension zone, the ... tension zone, the minimum height (in $m$, round off to one decimal place) by which the wall has to be raised, is ________.

go_editor asked in Soil Mechanics Feb 13, 2020

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