GATE CE topic:foundation-engineering PYQs & Answers

Questions 1–10 of 78. Imported answers require independent review unless marked reviewed.

The name of a person in Column 1 is to be matched with the test mentioned in Column 2.

Option giving the CORRECT match between Column 1 and Column 2 is:

Your answerChoose one option.

(I) – (Q) ; (II) – (P) ; (III) – (S) ; (IV) – (R)

(I) – (R) ; (II) – (S) ; (III) – (Q) ; (IV) – (P)

(I) – (P) ; (II) – (Q) ; (III) – (S) ; (IV) – (R)

(I) – (R) ; (II) – (S) ; (III) – (P) ; (IV) – (Q)

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Information related to foundation design is provided in table below.

Column 1 | Column 2 (I) Converse-Labare formula | (P) Pile capacity from dynamic formula (II) Hiley formula | (Q) Pile group efficiency (III) Newmark’s influence chart | (R) Bearing capacity factor of saturated clay (IV) Skempton’s equation | (S) Increase in vertical stress below footing

Option giving the CORRECT match between Column 1 and Column 2 is:

Your answerChoose one option.

(I) – (Q) ; (II) – (P) ; (III) – (S) ; (IV) – (R)

(I) – (R) ; (II) – (S) ; (III) – (Q) ; (IV) – (P)

(I) – (P) ; (II) – (Q) ; (III) – (S) ; (IV) – (R)

(I) – (R) ; (II) – (S) ; (III) – (P) ; (IV) – (Q)

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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:

Your answerSelect all correct options. You can choose more than one.

Vertical displacement below a rigid shallow footing is uniform in clay as well as sand.

Vertical contact pressure below a rigid shallow footing is uniform in clay as well as sand.

Vertical displacement below a flexible shallow footing is uniform in clay as well as sand.

Vertical contact pressure below a flexible shallow footing is uniform in clay as well as sand.

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As per the Rankine’s earth pressure theory, which of the following statements is/are FALSE?

Your answerSelect all correct options. You can choose more than one.

For the active earth pressure, the inclination of failure plane is

with respect to the major principal plane.

For the active earth pressure, the inclination of failure plane is

with respect to the major principal plane.

For the passive earth pressure, the inclination of failure plane is

with respect to the major principal plane.

For the passive earth pressure, the inclination of failure plane is

with respect to the major principal plane.

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A circular pile of 600 mm diameter and 6 m length is embedded in saturated clay soil. Undrained cohesion of the soil is 80 kPa. Unit weight of the soil is 19.20 kN/m

. The adhesion factor is 0.54. If the diameter of the pile is doubled to 1200 mm (keeping the length constant), the ratio of pile capacity of 1200 mm diameter pile to that of 600 mm diameter pile is _____ (rounded off to two decimal places).

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The ultimate bearing capacity of a 1 m wide strip footing is 532.8 kPa, when it is embedded at 1 m depth in dry cohesionless soil. The soil has a unit weight of 18 kN/m³. The ultimate bearing capacity is 864 kPa when the depth of embedment becomes 2 m.

Neglecting the effect of the depth factor, the bearing capacity factor N_q is ______ (rounded off to one decimal place).

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A group of 25 circular piles is arranged in 5 × 5 uniform pattern in a soft clay soil with equal spacing in both the directions. These are friction piles with negligible end bearing.

Consider the following details:

Diameter of each pile = 1 m Length of each pile = 15 m Cohesion of the soil = 20 kN/m

Unit weight of the soil = 16 kN/m

Adhesion factor = 0.75

Considering the efficiency of the pile group as unity, the optimum value of the ratio of the pile spacing to pile diameter is ____________________ (rounded off to one decimal place).

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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 kN/m³ and unit weight of water is 10 kN/m³. The maximum vertical load (P) on a column of the proposed building is 200 kN.

Consider

for computation of the minimum depth of soil exploration.

is the effective vertical overburden stress.

is the increase in the vertical stress at depth z below load P as per the Boussinesq’s stress theory.

Based on above, the minimum depth (in m) of soil exploration required for the foundation design is ______ (rounded off to two decimal places).

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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. Consider unit weight of soil as 20 kN/m

and undrained cohesion of soil as 20 kN/m

Due to rise of ground water table from far below the founding depth to the ground surface in monsoon season, the magnitude of percentage change in the net ultimate bearing capacity as per Terzaghi’s theory is ____________________ (rounded off to two decimal places).

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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 in the figure. After the cut is made, the excess pore water pressure is fully dissipated, and the shear stress at the point A is 60 kN/m². The factor of safety at the point A for long-term stability is __________________ (rounded off to 2 decimal places).

Note:

Shear strength properties of silty clay: c′ = 15 kN/m², ϕ′ = 15°, and cᵤ = 75 kN/m²

Unit weight of soil above the GWT (γ) = 19 kN/m³

Unit weight of soil below the GWT (γₛₐₜ) = 20 kN/m³

Unit weight of water (γw) = 9.81 kN/m³

Diagram for Civil Engineering question 55

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GATE CE topic:foundation-engineering PYQs

How to practice topic:foundation-engineering

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Question 55