GATE CE 2023 Paper 1 — page 14

Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.

With reference to the compaction test conducted on soils, which of the following is INCORRECT?

Your answerChoose one option.

Peak point of the compaction curve gives the maximum dry unit weight and optimum moisture content

With increase in the compaction effort, the maximum dry unit weight increases

With increase in the compaction effort, the optimum moisture content decreases

Compaction curve crosses the zero-air-voids curve

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Consider that a force P is acting on the surface of a half-space (Bousinesq’s problem). The expression for the vertical stress (

) at a point (r, z), within the half-space is given as,

where r is the radial distance and z is the depth with downward direction taken as positive. At any given r, there is a variation of

along z and at a specific z, the value of

will be maximum. What is the locus of the maximum

Your answerChoose one option.

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A square footing of size 2.5 m × 2.5 m is placed 1.0 m below the ground surface on a cohesionless homogeneous soil stratum. Considering that the groundwater table is located at the base of the footing, the unit weights of soil above and below the groundwater table are 18 kN/m³ and 20 kN/m³, respectively, and the bearing capacity factor

is 58, the net ultimate bearing capacity of the soil is estimated as 1706 kPa (unit weight of water = 10 kN/m³).

Earlier, a plate load test was carried out with a circular plate of 30 cm diameter in the same foundation pit during a dry season, when the water table was located beyond the plate influence zone. Using Terzaghi’s bearing capacity formula, what is the ultimate bearing capacity (in kPa) of the plate?

Your answerChoose one option.

110.16

61.20

204.00

163.20

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2023 · Paper 1

Question 40

Question 41

Question 42