BARC CE: Full Syllabus Test-9 for ESE & GATE CE Exams

Question 1

A 10 m deep canal is constructed in purely cohesive soil having c = 0.2 kg/cm², ϕ = 0°, G = 2.5, e = 0.5. The stability number is 0.1. In a canal running in full condition, the factor of safety w.r.t cohesion against failure of side slopes will be

Question 2

A wall 6 m high has a smooth vertical back and retained sand as a backfill which is submerged. The sand has γ_sat = 20 kN/m³ and ϕ = 30°. The total active earth pressure is

Question 3

Determine the plan area of a footing carrying load of 1500 kN from 300 mm square column containing 20 mm diameter bars as longitudinal steel. The safe bearing capacity of the soil is 120 kN/m².

Question 4

A vertical cut is to be made in a saturated and submerged clay with c = 15 kN/m², γ_sat = 18.5 kN/m³ and γ_w= 10 kN/m³. What is
the theoretical depth to which the clay can be excavated without side collapse?

Question 5

What is the super elevation required on horizontal circular curve of radius 100 m for a design speed of 50 km/h and coefficient of lateral friction 0.15?

Question 6

A concentrated load of 50 kN acts vertically at a point on the soil surface. If Boussinesq's equation is applied for computation of stress,
then the ratio of vertical stresses at depths of 3 m and 5 m respectively vertically below the point of application of load is

Question 7

A slope is to be constructed at an angle of 30° to the horizontal from a soil having the properties, c = 15 kN/m², y = 19 kN/m³. Taylor's stability number is 0.046. If a factor of safety (with respect to cohesion) of 1.5 is required,
then the safe height of the slope will be:

Question 8

A soil has an angle of shearing of 30° and cohesion of 35 kN/m². If the specimen of this soil is subjected to a tri-axial compression test, then the value of lateral pressure in the cell for failure to occur at total stress of 300 kN/m² will be

Question 9

For a colony of 10,000 persons having sewage flow rate of 200 L/capita/day, BOD of applied sewage of 300 mg/L and organic loading of 300 kg/day/hectare, the area of an oxidation pond required for treating the sewage of the colony is :

Question 10

A 1 m thick layer of saturated clay, drained at both faces, settles by 10 cm in one year. If a thin layer of pervious soil is introduced in the middle of this layer, then what will be the period during which the settlement of 10 cm will be compacted?

Question 11

A soil sample is having a specific gravity of 2.60 and void ratio 0.78, the moisture content in % required to fully saturate the soil at that void ratio would be

Question 12

A group of nine piles 12 m long and 250 mm in diameter is arranged in a square from in clay having undrained shear strength of 30 kN/m. Neglecting bearing at tip of the piles and taking adhesion factor as 0.9, ultimate capacity of all piles in individual action is:

Question 13

The permeability of sand in horizontal and vertical directions are 3 × 10^-3 cm/sec and 1 × 10^-3 cm/sec and the permeability of clay in horizontal and vertical directions are 9 × 10^-7 cm/sec and 3 × 10^-9 cm/sec, then the ratio of seepage loss per meter length of dam in sand to clay is:

Question 14

The normal stress and shear stress at failure on the failure plane are 10 kPa and 4 kPa respectively, then the angle of internal friction of the soil and the angle of the inclination of the failure plane to the major principal plane are ______.

Question 15

In a triaxial shear test conducted on a soil sample is having cohesion of 12 kPa and the angle of shearing resistance of 36°, if the cell pressure is 200 kPa, the deviator stress at failure will be:

Question 16

A straight bar which is fixed at the ends A and B and having elastic modulus (E) and cross-sectional area A., is subjected to a load P = 120 N at C as shown in figure. The reactions at the ends are:

Question 17

The position and magnitude of maximum bending moment (from support with reaction R_A) for the beam shown in figure is:

Question 18

A thin plate having stress components as σ_x = 40 MPa, σ_y = -20 MPa and σ_xy = 10 MPa. What will be the yield strength in simple tension as per Von Mises criterion?

Question 19

An aquifer confined at top and bottom by impermeable layers is stratified into three layers as follows:

The transmissivity (m²/day) of the aquifer is:

Question 20

Excavation was being done for a foundation trench in a plastic clay having unit weight of 2.3 gm/cc. When the depth of excavation reached 4 meters, it failed. On the assumption that ϕ = 0, the value of cohesion of the clay is:

Question 21

A model of a spillway with scale ratio 1 : 9 is to be tested in a laboratory. What will be the discharging capacity of the model if the discharge over prototype spillway is 486 m³/sec?

Question 22

A spherical particle of diameter 0.4 mm is falling in water with a velocity of 0.4 m/sec, the drag coefficient for the particle will be:

Question 23

A sample of saturated soil has a water content of 29.6%. If the specific gravity of solids is 2.7, the dry unit weight (in gr/cm³) of the soil is equal to

Question 24

At a point ‘P’, the state of stress is p_x = 6 MPa, p_y = –2 MPa and q_xy = 3 MPa, the magnitude of principal stresses for this state of stress will be:

Question 25

The magnetic bearing of the sun at noon is 178°. The magnetic declination at the place is

Question 26

During a sampling operation, the drive sampler is advanced 600 mm and the length of the sample recovered is 525 mm. What is the recovery ratio of the sample?

Question 27

A plate of size 100 mm × 10 mm having yield strength of 250 MPa, the design strength of plate in yielding of the cross-section is

Question 28

A raw wastewater sample has 5-day BOD equals to 2000 mg/L (reaction constant k = 0.23/day at 20°C). Calculate value of ultimate BOD?

Question 29

Given for a sample of a river sand:

Void ratio at the densest state = 0.40

Void ratio at the loosest state = 1.20

Which one of the following correctly represents the relative density of a sample prepared with a void ratio of 1.0?

Question 30

While increasing the pressure to 150 kPa from 50 kPa, the change in void ratio of soil is observed as 0.12 in a consolidation test. The compression index of soil is

Question 31

The liquid limit and plastic limit of a sample are 67% and 27% respectively. The percentage of the soil fraction with grain size finer than 0.002mm is 26. The activity ratio of the soil sample is

Question 32

In a shear test on cohesion less soils, if the initial void ratio is less than critical void ratio, the sample will:

Question 33

A prismatic beam simply supported carries a concentrated load W at mid-span. If the same beam is fixed at its ends, what load at mid-span can produce the same deflection at mid-sapn?