Questions without answers in Geotechnical Engineering

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Based on the Casagrande's plasticity chart, plasticity index (in $\%$) of inorganic clays having a liquid limit of $40 \%$, ranges between$18.0$ and $28.8$$14.6$ and $28....
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Information related to foundation design is provided in table below.\[\begin{array}{|l|l|}\hline\text{Column 1} & \text{Column 2} \\\hline\text{(I) Converse-Labarre formu...
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A fully saturated sandy soil deposit has water content $20 ~\%$ and specific gravity $2.65$.The critical hydraulic gradient for seepage through the soil to create the qui...
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A shallow footing is subjected to a vertical load. Within the elastic limit of the underlying soil, the TRUE statement(s) is/are:Vertical displacement below a rigid shall...
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For a clayey soil stratum, the time required for degree of consolidation from $25 \%$ to $50 \%$ is $30$ days.The total time (in days) required for $90 \%$ degree of cons...
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The ultimate bearing capacity of a $1 \text{ m}$ wide strip footing is $532.80 \text{ kPa}$ , when it is embedded at $1 \text{ m}$ depth in dry cohesionless soil. The soi...
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A building is proposed in an area having thick deposit of silty clay. The water table is at the ground surface. The saturated unit weight of soil is $18 ~\mathrm{kN} / \m...
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A soil sample has following properties:Natural water content $=30$ $\%$Plasticity index $=40$ $\%$Liquidity index $=50$ $\%$The estimated plastic limit (in $\%$) of the s...
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​​​​​​The name of a person in Column $1$ is to be matched with the test mentioned in Column $2$.\[\begin{array}{|l|l|}\hline\text{Column 1} & \text{Column 2} \\\hline(I)\...
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For a liquid, the permeability of a sandy soil having a void ratio of $0.60$ was determined as $0.14 \mathrm{~cm} / \mathrm{s}$. Considering the same liquid and by using ...
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To obtain undisturbed clay soil sample, an Area Ratio of $10 \%$ needs to be achieved for a thin walled sampling tube. If the outer diameter of the tube is $50.8$ mm , th...
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As per the Rankine's earth pressure theory, which of the following statements is/are FALSE?For the active earth pressure, the inclination of failure plane is $\left(45^{\...
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An infinite slope with slope angle $\beta=22^{\circ}$ consists of soil with the following properties:Unit weight $\gamma=15.72 ~\mathrm{kN} / \mathrm{m}^{3}$Cohesion $c^{...
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A circular pile of $600 \text{ mm}$ diameter and $6 \text{ m}$ length is embedded in a saturated clayey soil. Undrained cohesion of the soil is $80 \text{ kPa}$ . Unit we...
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A group of $25$ circular piles is arranged in $5 \times 5$ uniform pattern in a soft clay soil with equal spacing in both the directions. These are friction piles with ne...
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A shallow strip footing of width $2$ m is embedded at a depth of $1.5$ m below the ground surface in a homogeneous pure clay with an angle of internal friction zero. Cons...
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For a partially saturated soil deposit at a construction site, water content $(w)$ is $15 \%$, degree of saturation $(S)$ is $67 \%$, void ratio $(e)$ is $0.6$ and specif...
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In the context of shear strength of soil, which of the following statements is/are CORRECT?The unconfined compression test is a special case of the unconsolidated-undrain...
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The bank of a canal has the profile shown in the figure. The material is a homogeneous clay with a bulk unit weight of $20 \: \mathrm{kN} / \mathrm{m}^{3}$, undrained coh...
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​​​​In an oedometer apparatus a specimen of fully saturated clay has been consolidated under a vertical pressure of $100 \mathrm{ kPa}$ and is at equilibrium state. Immed...
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A cut slope is made in a silty clay soil for a new road project, as shown in the figure. The locations of ground water table (GWT) and potential failure surface are shown...
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A reinforced concrete pile of $10 \mathrm{~m}$ length and $0.7 \mathrm{~m}$ diameter is embedded in a saturated pure clay with unit cohesion of $50 \mathrm{kPa}$. If the ...
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Consider the statements $\mathrm{P}$ and $\mathrm{Q}$ related to the analysis/design of retaining walls.$\mathrm{P}$: When a rough retaining wall moves toward the backfil...
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​​​​​Consider the statements $\text{P, Q,}$ and $\text{R}$.$\text{P}$: Compacted fine-grained soils with flocculated structure have isotropic permeability.$\text{Q}$: Phr...
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​​​​​A $2 \mathrm{~m}$ wide strip footing is founded at a depth of $1.5 \mathrm{~m}$ below the ground level in a homogeneous pure clay bed. The clay bed has unit cohesion...
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​​​​​Find the correct match between the plane stress states and the Mohr's circles.$\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$$\text{(P)-(III); (Q)-(II); (R)-(I); (S)...
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A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction angle of $30^{\circ}$. The inclinations of failure...
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​​​​​​Which of the following statement(s) is/are CORRECT?Swell potential of soil decreases with an increase in the shrinkage limit.Both loose and dense sands with differe...
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An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is $30^{\circ}$ with respect to horizontal gr...
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A soil sample was consolidated at a cell pressure of $20 \mathrm{kPa}$ and a back pressure of $10 \mathrm{kPa}$ for $24$ hours during a consolidated undrained $\text{(CU)...
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A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with $50 \%$ efficiency. The recorded SPT value at a p...
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A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, $k_{H}$ and coefficient of vertical permeability, $k_{V}.$ I...
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The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are:Variation o...
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An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of $76 ~ \mathrm{kPa}$. The undrained cohesion (in $...
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In the given figure, Point $\mathrm{O}$ indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path $\text{(OP),}$ which...
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The figure shows a vertical retaining wall with backfill consisting of cohesive-frictional soil and a failure plane developed due to passive earth pressure. The forces ac...
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A square footing is to be designed to carry a column load of $500~ \mathrm{kN}$ which is resting on a soil stratum having the following average properties: bulk unit weig...
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A circular pile of diameter $0.6 \mathrm{~m}$ and length $8 \mathrm{~m}$ was constructed in a cohesive soil stratum having the following properties: bulk unit weight $=19...
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For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil $1$ and Soil $2,$ are $10 \mathrm{~mm} / \mathrm{s}$ and...
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A consolidated drained $\text{(CD)}$ triaxial test was carried out on a sand sample with the known effective shear strength parameters, $c^{\prime}=0$ and $\phi^{\prime}=...
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