GATE CE topic:infrastructure PYQs & Answers — Page 12

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Questions 111–120 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 12 of 130

An infinite slope with slope angle

consists of soil with the following properties:

Unit weight

kN/m

Cohesion

kPa

Angle of internal friction

The critical height of the slope (in m) is _____ (rounded off to two decimal places).

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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 consolidation of the same soil stratum is _____ (rounded off to the nearest integer).

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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 soil sample has following properties: Natural water content = 30 % Plasticity index = 40 % Liquidity index = 50 % The estimated plastic limit (in %) of the soil is ______ (rounded off to one decimal place).

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Traffic is moving on a 6-lane dual carriageway road. Traffic volume per direction during peak hour (08:00 am to 09:00 am) is 600 veh/h. It is assumed that the traffic is distributed uniformly across the lanes in each direction. Just at 08:00 am, a truck goes out of order on the middle lane of one side, thus disrupting the traffic on that lane in one direction. The lane capacity under normal conditions is 200 veh/h/ln and under queue formation it is 160 veh/h/ln. The traffic resumes at 08:30 am on removing the truck from the middle lane. Hourly traffic volume after 09:00 am reduces to 500 veh/h/dir.

The number of vehicles in the queue at 10:00 am is _____ (in integer).

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For a given traffic stream, the speed-density relationship is given as:

where

is the mean speed (in km/h), and

is the density (in veh/km).

Considering

as 45 km/h, and

as 200 veh/km, the maximum flow (in veh/h) for the given stream is ______ (rounded off to the nearest integer).

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GATE CE topic:infrastructure PYQs

Question 56

Question 56

Question 57

Question 57

Question 58

Question 58

Question 59

Question 59

Question 60

Question 60