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BARC 2020: Mini Mock 5

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Question 1

The sleeper density for a broad gauge track if 19 sleepers are used under a rail length. Given that length of a rail for B.G. track is 12.8 metres.

Question 2

The driver of a vehicle travelling 80 km/hr up a gradient requires 10 m less to stop after he applied brakes, as compared to driver travelling at same speed, down the same gradient given, f = 0.40 what is the present gradient?

Question 3

The distance between two points measured along a slope is 540 m. The horizontal distance between them, if the slope is 1 in 6, is _______ m.

Question 4

f the maximum shear stress in a section is 80 N/mm2, then the strain energy per unit volume is __________ kN-mm.
[Take G = 70 GPa]

Question 5

A simply supported beam with width b and depth d carries a central load W and undergoes deflection at centre. If the width and depth are interchanged, then the deflection at the centre of the beam would attain the value

Question 6

For the cantilever frame shown in the figure.The force(kg-f) in bar AE is

Question 7

A homogeneous, simply supported beam of width B, depth D, span L is subjected to concentrated load of magnitude P. The load can be placed anywhere along the span of beam. The max. flexural stress developed in beam is X (PL/BD2); X is _____

Question 8

A sand layer lay over a clay stratum is 7m in depth. The water is 3m below ground level and the capillary zone is negligible. The effective stress on the top of the clay layer will be________.
(Take , )

Question 9

The diameter of a circular concrete pier is found to be 3m. the load acting on the pier is 3500KN. The supporting soil is a clayey sand soil. The properties of the soil is given below:
C = 5KN/m2, Φ= 30˚ and γ= 18.5KN/m2, let the factor of safety be 3.
The bearing capacity factors are given by Φ= 30˚, Nc=30.1, Nq= 18.4 and Nγ= 22.4.
Find out the depth at which the pier is placed.

Question 10

A column having helical reinforcement, the core diameter (dc)is 300mm and diameter of steel(Ø)provided is 12mm.The pitch provided is ?

Question 11

A prestressed concrete beam with a cross section of 300 mm width and 600 mm depth, is 12 m long. IT carries a load of 12 kN/m inclusive of its self weight. It is prestressed with 2000 mm2 high tensile steel located at 175 mm from soffit. The cable profile is straight for full length of the beam and it is stressed to a level of 800 N/mm2. It is bonded to concrete. The eccentricity (in mm) of thrust line at mid span in the beam is

Question 12

A identical source of irrigation water has ion concentration of Na+,Ca2+, Mg2+ as 20,10 and 8 milliequivalent per litre respectively. The (Sodium Absorption Ratio) SAR of this water is

Question 13

In a city, the maximum daily rainfall depth of 300mm has a return period of 100 years. The probability of one day rainfall depth equal to or exceeding the 300mm in the city occurring two times in successive 20 years is

Question 14

Match List-I (Type of turbines) with List-II (Ranges of specific speeds in SI units) and select the correct answer using the codes given below the lists:
List-I
A) Francis
B) Kaplan
C) Pelton (one jet)
D) Pelton (two jet)
List-II
1) 8 - 30
2) 26 - 40
3) 40 - 420
4) 380 – 950

Question 15

At a point on a streamline, the velocity is 3 m/s and the radius of curvature is 9 m. If the rate of increase of velocity along the streamline at this point is 1/3 m/s/m, then the total acceleration at this point would be

Question 16

If the BOD5, 20 of waste is 125 mg/L and the reaction rate constant (to the base ‘e’) at 20 °C is 0.325/day, then the ultimate BOD is ______ mg/L.

Question 17

A city supply of 20000 cubic meters of water per day is treated with a chlorine dosage of 0.75 ppm. For this purpose, the requirement (in kg) of 25% bleaching powder per day would be

Question 18

A thin rectangular plate has height 30 cm, width 5 cm, and mass 50 gm. what will be its mass moment of inertia in kg-cm2?

Question 19

The expected time of a project having a standard deviation of 3 weeks is 18 weeks. What is the probablility of completion of the project within 15 weeks.

The probablility factor z for different values is

Question 20

If P is the percentage of water required for normal consistency, water to be added for determination of initial setting time, is
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Aug 14ESE & GATE CE