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BARC CE: Full Syllabus Test-1

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Question 1

A 2 hr unit hydrograph is given. The peak ordinate of a 3 hr unit hydrograph is ____m3/s .

Question 2

In a particular season a catchment was found to have a φ index of 0.3 cm/hr. If a rainfall of 3cm occur in the season at a uniform rate in a 12 hr storm, the resulting direct runoff is

Question 3

Following data were noted from an irrigation field.

(i) Field capacity = 30%

(ii) Permanent wilting point = 10%

(iii) Permissible depletion of available soil moisture = 50%

(iv) Dry unit weight of soil = 1800 kg/m3

(v) Effective rainfall = 55 mm

Based on the above data, the net irrigation requirement per metre depth of soil will be

Question 4

A wide tidal river has a low water velocity 2.0 m/s and a depth of 2 m. If tide cause a base upstream of velocity 4m/s. calculate the height of surge. (g = 10m/s2)

Question 5

In a parallel two-dimensional flow in the positive x-direction, the velocity varies parabolically from zero at y = 0 to 65 m/sec at y = 1 m. The expression for  is given by

Question 6

An isosceles triangle plate of base 5m and altitude 5m is immersed vertically upside down in an oil of specific gravity 0.9. The base of plate coincides with the free surface of oil. The total pressure acting on the plate is

Question 7

A hollow circular beam of external diameter 250 mm and thickness of 20 mm is to be used a beam in a steel structure. If the maximum permissible stress for the beam material is 150 MPa, determine the maximum bending moment carrying capacity of the section.

Question 8

A spring is connected to the free end of a cantilever to reduce the deflection. When a moment of 2 kNm acts on the free end find out the decrease in the deflection due to the spring. Take EI = 20,000 kNm2.

Question 9

A 200 mm × 400 mm beam is simply supported over the span of 5 meters is loaded with a central load of 100 kN. The maximum principal stress at a cross-section distant 2 meters from the support, at a point 100 mm from neutral axis is _______.

Question 10

If then find out the value of t at x= correct upto 2 decimal places. It is given that at x=0.

Question 11

The order and degree of the differential equation, are respectively.

Question 12

Read the following statements carefully:
Statement I : The expected time represents the mode of the probability distribution curve.
Statement II : If the distribution curve is skewed to left it means the expected time is smaller than the most likely time.
Statement III : If the distribution curve is skewed to right it means the expected time is greater than the most likely time.

Question 13

Activity “P” is followed by Activity Q, which in turn is followed by activity R. The cost of these is followed in relation to the choice of feasible durations table is given below:


For all the three activities taken together the minimum possible direct cost for a total duration of 20 days will be INR .

Question 14

The following data pertains to the number of commercial vehicles per day for the design of a flexible pavement for a national highway as per IRC: 37-1984
Type of commercial Number of vehicles per day
Vehicle Damage Factor
Vehicle considering the number of lanes
Two axle trucks 2000 5
Tandem axle trucks 200 6
Assuming a traffic growth factor of 7.5% per annum for both the types of vehicles, the cumulative number of standard axle load repetitions (in million) for a design life of ten years is

Question 15

If the shrinkage ratio of a plan is 0.85 and the original scale of map is 1 in 3200. What will be the shrunk scale?

Question 16

Two pegs P and Q are fixed on opposite banks of 42 m wide river. The level was setup at P and staff reading on peg P and Q were observed as 1.69 m and 1.92 m respectively. Thereafter the instrument was shifted and set at Q. the staff reading on pegs Q and P were observed as 0.86 m and 0.63 m respectively. If R.L. of peg P is 152.1 m then the R.L. of peg Q is

Question 17

If deflection angle at Q from PQ to QR is and the whole circle bearing of line PQ is , then fore bearing of line QR is

Question 18

The design speed on a road is 60kmph. Assuming the driver reaction time of 2.5 seconds and coefficient of friction of pavement surface as 0.35 the required stopped distance for two-way traffic on a single lane road is

Question 19

A Bench Mark (BM) with Reduced Level (RL) = 155.305 m has been established at the floor of a room. It is required to find out the RL of the underside of the roof (R) of the room using Spirit Leveling. The Back Sight (BS) to the BM has been observed as 1.500 m whereas the Fore Sight (FS) to R has been observed as 0.575 m (Staff held inverted). The RL (m) of R will be

Question 20

A toll booth at the entrance to a bridge can handle 125 veh/hour, the time to process a vehicle being exponentially distributed. The flow is 100 veh/hour with a Poissonian arrival pattern. What is the average number of vehicles in the system and average length of queue ?

Question 21

If the unsupported length of a column is 3m and its sides are 300mm  × 360mm the minimum eccentricity so that the column is designed as an axially loaded column is -

Question 22

The effective span of the beam is 7 .5m in a hall covered by a beam and slab system with beams placed at 3 .5m centers. The slab thickness is 130mm. The size of the beam below the slab is 250mm and 400mm depth. The beam is reinforced with 4 no. of 26mm diameter bars of Fe415 . M25 concrete is used Calculate the effective width of flange.

Question 23

A prestressed concrete beam of span 6 m supports a uniform loading of 4 kN/m over it. The size of the beam is 200 × 400 mm. Assume the density of the concrete 24 kN/m3.
Find the eccentric force located at 100 mm above soffit which would be sufficient to nullify the tensile stress produced at the bottom of the beam.

Question 24

In a fillet weld, the direct shear stress and bending tensile stress are 58 MPa and 140 MPa respectively. As per IS 800 : 2007, the equivalent stress will be -

Question 25

Consider the beam ABCD shown in the figure.

AB = BC = 4m
CD = 10m
For a moving concentrated load of 50 kN on the beam, the magnitude of the maximum
bending moment (in kN-m) obtained at the support C will be equal to_____

Question 26

Degree of static indeterminacy for the given frame is

Question 27

The following data were recorded in the liquid limit test using the Casagrande apparatus.
Plasticity Index of the soil = 34.2%
Plastic Limit of the soil = 19.8 %
Natural Moisture Content of the soil = 40%
Determine the Consistency Index and classify the soil.

Question 28

A soil sample has a compression index of 0.4. The void ratio at a stress of 1.5 kg/cm2 is 0.6. The value of void ratio (if stress is increased to 3 kg/ cm2) and the settlement of a soil stratum 5m thick are respectively

Question 29

Find the width (in m) of an elementary gravity dam whose height is 150 m. Specific gravity of dam material is 2.3 and seepage coefficient (C) at the base is 0.6.

Question 30

A raw water sample has following composition-

Alkalinity as CaCO3 = 140 mg/L

Magnesium as Mg = 13.6 mg/L

Non-carbonate hardness as CaCO3 = 25 mg/L

Carbon-dioxide as CO2 = 22 mg/L

The amount of lime needed to soften the raw water is

Question 31

What is the number of drying beds required to dewater a digested sludge produced from waste water treatment plant based on ASP designed for a population of 50,000 people? If dry solid concentration in digested sludge is 70 gm/capita/day. Dry solid loading rate 100 kg/m2/year and size of one bed is 30 m × 8m.

Question 32

A square footing is constructed on the sand at a depth of 2m to carry a load of 3000 kN. The water table is at a large depth and γ = 18 kN/m3. The observed SPT value at this depth is 12 .
Using IS Code method, determine the size of the footing required considering factor of safety = 3

Question 33

A tower is constructed on a circular raft 6 m in diameter at a depth of 3 m below ground level in sand having bulk unit weight of 21 kN/m3. The gross intensity of pressure at the base of the raft is 140 kN/m2. What will be the increase in vertical stress (in kN/m2) due to raft at a point 4 m beneath the centre of the raft?
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Aug 7ESE & GATE CE