Recent questions in 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 ... $\tau_{xy}=0$ $\sigma_{xx}+\sigma_{yy}=0$ $(\sigma_{xx}-\sigma_{yy})^2+4\tau^2_{xy}=0$

asked Feb 28, 2020 in Geotechnical Engineering by jothee (5.2k points)

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2

GATE2020-CE-1-8
During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydration increases decreases initially decreases and then increases does not change

asked Feb 28, 2020 in Geotechnical Engineering by jothee (5.2k points)

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3

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

asked Feb 28, 2020 in Foundation Engineering by jothee (5.2k points)

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4

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.

asked Feb 28, 2020 in Geotechnical Engineering by jothee (5.2k points)

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5

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 $23$ $17$ $15$ $14$

asked Feb 28, 2020 in Soil Mechanics by jothee (5.2k points)

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6

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 ______

asked Feb 28, 2020 in Soil Mechanics by jothee (5.2k points)

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7

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 ______.

asked Feb 28, 2020 in Foundation Engineering by jothee (5.2k points)

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8

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 $22.50$ $56.25$ $93.75$ $150.00$

asked Feb 28, 2020 in Geotechnical Engineering by jothee (5.2k points)

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9

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 ... $OP-III, OQ-II, OR-I, OS-IV$ $OP-I, OQ-III, OR-II, OS-IV$

asked Feb 28, 2020 in Soil Mechanics by jothee (5.2k points)

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10

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 $95$

asked Feb 28, 2020 in Foundation Engineering by jothee (5.2k points)

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11

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 __________

asked Feb 28, 2020 in Foundation Engineering by jothee (5.2k points)

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12

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 ______.

asked Feb 28, 2020 in Geotechnical Engineering by jothee (5.2k points)

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13

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 ______.

asked Feb 28, 2020 in Foundation Engineering by jothee (5.2k points)

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14

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 ______.

asked Feb 28, 2020 in Foundation Engineering by jothee (5.2k points)

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15

GATE2020-CE-1-53
A gaseous chemical has a concentration of $41.6\:\mu mol/m^3$ in air at $1$ atm pressure and temperature $293\:K$. The universal gas constant $R$ is $82.05\times10^{-6}\;(m^3\:atm)/(mol\:K)$. Assuming that ideal gas law is valid , the concentration of the gaseous chemical (in ppm, round off to one decimal place), is ______.

asked Feb 28, 2020 in Soil Mechanics by jothee (5.2k points)

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16

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

asked Feb 13, 2020 in Soil Mechanics by jothee (5.2k points)

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17

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

asked Feb 13, 2020 in Soil Mechanics by jothee (5.2k points)

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18

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 $2.72$ $2.66$ $2.55$ $2.52$

asked Feb 13, 2020 in Geotechnical Engineering by jothee (5.2k points)

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19

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 __________.

asked Feb 13, 2020 in Soil Mechanics by jothee (5.2k points)

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20

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 __________.

asked Feb 13, 2020 in Soil Mechanics by jothee (5.2k points)

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21

GATE2020 CE-2-25
Two identically sized primary settling tanks receive water for $\text{Type-I}$ settling (discrete particles in dilute suspension) under laminar flow conditions. The Surface Overflow Rate (SOR) maintained in the two tanks are $30\ m^3/m^2.d$ and $15\: m^3/m^2.d$. ... $d_{15}$ respectively. The ratio, $\large \dfrac{d_{30}}{d_{15}}$ (round off to two decimal places), is ________.

asked Feb 13, 2020 in Geotechnical Engineering by jothee (5.2k points)

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22

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 $37.29$ $80.20$ $68.25$ $0.03$

asked Feb 13, 2020 in Soil Mechanics by jothee (5.2k points)

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23

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 $1.84$ $1.57$ $0.58$ $1.67$

asked Feb 13, 2020 in Geotechnical Engineering by jothee (5.2k points)

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24

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 ________.

asked Feb 13, 2020 in Foundation Engineering by jothee (5.2k points)

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25

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 ________.

asked Feb 13, 2020 in Soil Mechanics by jothee (5.2k points)

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26

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 ________.

asked Feb 13, 2020 in Soil Mechanics by jothee (5.2k points)

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27

2015 gate mcq true or false type
State true statement for degree of disturbance of collected soil sample

asked Dec 19, 2019 in Soil Mechanics by Pratikshanere (120 points)

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28

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 $\gamma_d$ ... $\gamma_d = \dfrac{Gw}{1 + \gamma_w} \\$ $\gamma_d = \dfrac{Gw}{1 - \gamma_w}$

asked Aug 7, 2019 in Soil Mechanics by gatecse (4k points)

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29

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

asked Aug 7, 2019 in Geotechnical Engineering by gatecse (4k points)

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30

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 $27$ $180$ $1200$ $2000$

asked Aug 7, 2019 in Foundation Engineering by gatecse (4k points)

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31

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 _________

asked Aug 7, 2019 in Foundation Engineering by gatecse (4k points)

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32

GATE2017 CE-2-24
The infiltration capacity of a soil follows the Horton's exponential model, $f=c_1+c_2e^{-kt}$. During an experiment, the initial infiltration capacity was observed to be $200$ mm/h. After a long time, the infiltration capacity was reduced $25$ mm/h. If the filtration capacity ... $k$ (in $h^{-1}$, up to two decimal places) is ________

asked Aug 7, 2019 in Soil Mechanics by gatecse (4k points)

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33

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 $5 \%$

asked Aug 7, 2019 in Foundation Engineering by gatecse (4k points)

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34

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

asked Aug 7, 2019 in Soil Mechanics by gatecse (4k points)

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35

GATE2017 CE-2-41
Two plates od $8$ mm thickness each are connected by a fillet weld of $6$ mm thickness as shown in the figure. The permissible stresses in the plate and the weld are $150$ MPa and $110$ MPa, respectively. Assuming the length of the weld shown in the figure to be the effective length, the permissible load $P$ (in kN) is ______

asked Aug 7, 2019 in Foundation Engineering by gatecse (4k points)

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36

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 _______

asked Aug 7, 2019 in Foundation Engineering by gatecse (4k points)

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37

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

asked Feb 14, 2019 in Soil Mechanics by Arjun (8.7k points)

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38

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 $i=i_c$

asked Feb 14, 2019 in Soil Mechanics by Arjun (8.7k points)

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39

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 _________

asked Feb 14, 2019 in Geotechnical Engineering by Arjun (8.7k points)

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40

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 ______

asked Feb 14, 2019 in Soil Mechanics by Arjun (8.7k points)