Most answered questions in Geotechnical Engineering / GO Civil

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81

GATE2016-2-43
Water flows from P to Q through two soil samples, Soil $1$, Soil $2$, having cross sectional area of $80 \: cm^2$ as shown in the figure. Over a period of $15$ minutes, $200$ ml of water was observed to pass through any cross-section. The flow-conditions ... of permeability of Soil $1$ is $0.02$ mm/s, the coefficient of permeability of Soil $2$ (expressed in mm/s) would be _________

Water flows from P to Q through two soil samples, Soil $1$, Soil $2$, having cross sectional area of $80 \: cm^2$ as shown in the figure. Over a period of $15$ minutes, $...

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82

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 _______

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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83

GATE2016-1-11
In the consolidated undrained triaxial test on a saturated soil sample, the pore water pressure is zero during shearing stage only at the end of consolidation stage only both at the end of consolidation and during shearing stages under none of the above conditions

In the consolidated undrained triaxial test on a saturated soil sample, the pore water pressure is zeroduring shearing stage onlyat the end of consolidation stage onlybot...

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84

GATE2016-1-12
A fine grained soil is found to be plastic in the water content range of $26 – 48 \%$. As per Indian Standard Classification System, the soil is classified as CL CH CL-ML CI

A fine grained soil is found to be plastic in the water content range of $26 – 48 \%$. As per Indian Standard Classification System, the soil is classified asCLCHCL-MLC...

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85

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 $K_p$ ... $\dfrac{4c \sqrt{K_a}}{\gamma } \\$ $\dfrac{4c}{\gamma \sqrt{K_a}}$

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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86

GATE2016-1-40
The porosity (n) and the degree of saturation (S) of a soil sample are $0.7$ and $40 \%$ respectively. In a $100\:m^3$ volume of the soil, the volume (expressed in $m^3$) of air is __________

The porosity (n) and the degree of saturation (S) of a soil sample are $0.7$ and $40 \%$ respectively. In a $100\:m^3$ volume of the soil, the volume (expressed in $m^3$)...

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87

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 $120$ $180$ $240$ $360$

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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88

GATE2016-1-42
An undisturbed soil sample was taken from the middle of a clay layer (i.e., $1.5$ ... level. Assuming unit weight of water as $10 kN/m^3$, the ultimate consolidation settlement (expressed in mm) of the clay layer is _______

An undisturbed soil sample was taken from the middle of a clay layer (i.e., $1.5$ m below GL), as shown in figure. The water table was at the top of clay layer. Laborator...

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89

GATE2016-1-43
A seepage flow condition is shown in the figure. The saturated unit weight of the soil $\gamma_{sat}=18 \: kN/m^3$. Using unit weight of water, $\gamma_w=9.81 \: kN/m^3$, the effective vertical stress (expressed in $kN/m^2$) on plane $X-X$ is _______

A seepage flow condition is shown in the figure. The saturated unit weight of the soil $\gamma_{sat}=18 \: kN/m^3$. Using unit weight of water, $\gamma_w=9.81 \: kN/m^3$,...

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90

GATE2016-1-44
A drained triaxial compression test on a saturated clay yielded the effective shear strength parameters as $c’=15$ kPa and $\phi’=22^{\circ}$. Consolidated Undrained triaxial test on an identical sample of this clay at a cell pressure of $200$ kPa developed a pore water pressure of $150$ kPa at failure. The deviator stress (expressed in kPa) at failure is ________

A drained triaxial compression test on a saturated clay yielded the effective shear strength parameters as $c’=15$ kPa and $\phi’=22^{\circ}$. Consolidated Undrained ...

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91

GATE2017 CE-1: 8
Group I lists the type of gain or loss of strength in soils. Group II lists the property or process responsible for the loss or gain of strength in soils. ... $P-3, \: Q-2; \: R-1, \: S-4$ $P-4, \: Q-2; \: R-1, \: S-3$

Group I lists the type of gain or loss of strength in soils. Group II lists the property or process responsible for the loss or gain of strength in soils.$\begin{array}{l...

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92

GATE2017 CE-1: 9
A soil sample is subjected to a hydrostatic pressure, $\sigma$. The Mohr circle for any point in the soil sample would be a circle of radius $\sigma$ and center at the origin a circle of radius $\sigma$ and center at a distance $\sigma$ from the origin a point at a distance $\sigma$ from the origin a circle of diameter $\sigma$ and center at the origin

A soil sample is subjected to a hydrostatic pressure, $\sigma$. The Mohr circle for any point in the soil sample would bea circle of radius $\sigma$ and center at the ori...

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93

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 $2 \pi \: c_u$ $\pi \: c_u$ $( \pi +1) \: c_u$ $(\pi + 2) \: c_u$

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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94

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 $0.25$ $0.5$ $2.0$ $4.0$

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 ...

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95

GATE2017 CE-1: 22
A $3 \: m$ thick clay layer is subjected to an initial uniform pore pressure of $145 \: kPa$ as shown in the figure. For the given ground conditions, the time (in days, rounded to the nearest integer) required for $90 \%$ consolidation would be ________

A $3 \: m$ thick clay layer is subjected to an initial uniform pore pressure of $145 \: kPa$ as shown in the figure.For the given ground conditions, the time (in days, ro...

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96

GATE2017 CE-1: 36
The laboratory tests on a soil sample yields the following results: natural moisture content $=18 \%$, liquid limit $=60 \%$, plastic limit $=25 \%$, percentage of clay sized fraction $=25\%$. The liquidity index and activity (as per the expression proposed by Skempton) of the soil, respectively, are $-0.2$ and $1.4$ $0.2$ and $1.4$ $-1.2$ and $0.714$ $1.2$ and $0.714$

The laboratory tests on a soil sample yields the following results: natural moisture content $=18 \%$, liquid limit $=60 \%$, plastic limit $=25 \%$, percentage of clay s...

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97

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 _____________

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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98

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 ________.

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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99

GATE2017 CE-1: 50
A consolidated undrained $(\overline{CU})$ triaxial compression test is conducted on a normally consolidated clay at a confining pressure of $100$ kPa. The deviator stress at failure is $80$ kPa, and the pore-water pressure measured at failure is $50$ kPa. The effective angle of internal friction (in degrees, up to one decimal place) of the soil is __________

A consolidated undrained $(\overline{CU})$ triaxial compression test is conducted on a normally consolidated clay at a confining pressure of $100$ kPa. The deviator stres...

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100

GATE2015-2-12
If the water content of a fully saturated soil mass is $100\%$, the void ratio of the sample is: less than specific gravity of soil equal to specific gravity of soil greater than specific gravity of soil independent of specific gravity of soil

If the water content of a fully saturated soil mass is $100\%$, the void ratio of the sample is:less than specific gravity of soilequal to specific gravity of soilgreater...

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101

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: $r \sin \phi$ $r$ $r \cos \phi$ $r \tan \phi$

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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102

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

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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103

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: $2 \: c$ $2 \: c \: k_a$ $2 c \sqrt{k_a}$ $2 c/ \sqrt{k_a}$

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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104

GATE2015-2-37
A $588 \: cm^3$ volume of moist sand weighs $1010$ gm. Its dry weight is $918$ gm and specific gravity of solids, $G$ is $2.67$. Assuming density of water as $1 \: gm/cm^3$, the void ratio is _________.

A $588 \: cm^3$ volume of moist sand weighs $1010$ gm. Its dry weight is $918$ gm and specific gravity of solids, $G$ is $2.67$. Assuming density of water as $1 \: gm/cm^...

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105

GATE2015-2-38
A $4$ m thick layer of normally consolidated clay has an average void ratio of $1.30$. Its compression index is $0.6$ and coefficient of consolidation is $1 \: m^2/yr$. If the increase in vertical pressure due to foundation load on the clay layer is equal to the existing effective overburden pressure, the change in the thickness of the clay layer is _______ mm.

A $4$ m thick layer of normally consolidated clay has an average void ratio of $1.30$. Its compression index is $0.6$ and coefficient of consolidation is $1 \: m^2/yr$. I...

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106

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 ___________.

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 ...

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107

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, $c=20$ ... $150$ $216$ $156$ $196$

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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108

GATE2015-1-11
A fine-grained soil has $60 \%$ (by weight) slit content. The soil behaves as $\textit{semi-solid}$ when water content is between $15 \%$ and $28 \%$. The soil behaves $\textit{fluid-like}$ when the water content is more than $40 \%$. The $’\textit{Activity}\:’$ of the soil is $3.33$ $0.42$ $0.30$ $0.20$

A fine-grained soil has $60 \%$ (by weight) slit content. The soil behaves as $\textit{semi-solid}$ when water content is between $15 \%$ and $28 \%$. The soil behaves $\...

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109

GATE2015-1-13
Which of the following statements is TRUE for degree of disturbance of collected soil sample? Thinner the sampler wall, lower the degree of disturbance of collected soil sample Thicker the sampler wall, lower the degree of disturbance of collected soil ... sample are unrelated The degree of disturbance of collected soil sample is proportional to the inner diameter of the sampling tube

Which of the following statements is TRUE for degree of disturbance of collected soil sample?Thinner the sampler wall, lower the degree of disturbance of collected soil s...

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110

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 $0.5$ $0.625$ $0.8$ $1.0$

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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111

GATE2015-1-15
Which of the following statements is NOT correct? Loose sand exhibits contractive behavior upon shearing Dense sand when sheared under undrained condition, may lead to generation of negative pore pressure Black cotton sild exhibits expansive behavior Liquefaction is ... soil near the downstream side of dams or sheet-piles loses its shear strength due to high upward hydraulic gradient

Which of the following statements is NOT correct?Loose sand exhibits contractive behavior upon shearingDense sand when sheared under undrained condition, may lead to gene...

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112

GATE2015-1-38
An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is $5000 \: m^3$ and the target dry unit weight is $16.2 \: kN/m^3$. Three nearby sites (see figure below) have been identified from where the required soil can be transported to ... solution (Use unit weight of water $= 10 \: kN/m^3$). Site $X$ Site $Y$ Site $Z$ Any of the sites

An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is $5000 \: m^3$ and the target dry unit weight is $16.2 \: kN/m^3...

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113

GATE2015-1-39
A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter $3$ m and depth of embedment $1$ ... the load dispersion pattern as $2V:1H$. The expected settlement of the tank due to primary consolidation of the clay layer is _________ mm.

A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter $3$ m and depth of embedment $1$ m has been designed to su...

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114

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.

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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115

GATE2015-1-41
A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is $10$ times the permeability of the clay layer and one-tenth of the permeability of ... third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is _________.

A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is $10$ times t...

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116

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: $F_{qi} = 0.444, \: F_{\gamma i}=0.02$

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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117

GATE2014-2-37
An infinitely long slope is made up of a $c-\phi$ soil having the properties: cohesion $(c)=20$ kPa, and dry unit weight $(\gamma_d)=16 \: kN/m^3$. The angle of inclination and critical height of the slope are $40^{\circ}$ and $5$ m respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is _______

An infinitely long slope is made up of a $c-\phi$ soil having the properties: cohesion $(c)=20$ kPa, and dry unit weight $(\gamma_d)=16 \: kN/m^3$. The angle of inclinati...

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118

GATE2014-2-38
Group I enlists in-situ field tests carried out for soil exploration, while Group II provides a list of parameters for sub-soil strength characterization. Match the type of tests with the characterization parameters. ... $P-1; Q-2; R-3; S-4$ $P-2; Q-3; R-4; S-1$ $P-4; Q-1; R-2; S-3$

Group I enlists in-situ field tests carried out for soil exploration, while Group II provides a list of parameters for sub-soil strength characterization. Match the type ...

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119

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 ________

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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120

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 $50.96$ $53.36$ $63.72$ $66.71$

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, ...

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