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BARC 2020: Mini Mock 4

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Question 1

An offset is measured with an accuracy of 1 in 40. If the scale of plotting is 1 cm = 20 m. What will be the limiting length of the offset so that the displacement of the point on the paper from both sources of error may not exceed 0.25 mm.

Question 2

If the bubble tube of a level has a sensitiveness of 35 per 2 mm division, find the error in staff reading on a vertical staff at a distance of 100 m caused by the bubble bending 3/2 divisions out of centre.

Question 3

What is equilibrium cant required on a 5 ° curve on a BG track for the train speed of 60kmph?

Question 4

What is the ratio of deflection at the centre for a flexible plate and rigid plate of same diameter?

Question 5

Figure shows a three hinged arch consisting of two quadrantal parts AC and CB radii 2 m and 4 m respectively. For the load system acting on the arch, the bending moment (in kNm) at D is

Question 6

For a moving set of wheel loads the absolute maximum value of bending moment is occurred

Question 7

A sample of clean sand was collected at a depth of 7m below ground. The sample had been under a horizontal load of 270 kN/m2, vertical load of 175 kN/m2 and a shear stress of 83.5 kN/m2. If the angle between the vertical stress and principal stress is 700, calculate the angle of internal friction.

Question 8

A close-coiled helical spring, with the coil diameter as 100 mm and wire diameter as 12 mm consist of 16 coils. If it is subjected to an axial tension of 400 N, find maximum stress induced in the coil.

Question 9

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

Question 10

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 11

An excavation is made with a vertical face in a clay soil has , . Determine the maximum depth of excavation so that the excavation is stable.
Given for and

Question 12

A manometer with water as the measuring fluid is fitted to a pipe carrying water under pressure. Air at atmospheric pressure in trapped at the other end of manometer as shown in the figure below. The pressure head at point P in metre of water is
(Density of air = 1.235 kg/m3)

Question 13

A wide river with a water surface elevation 1/8000 of depth of flow D. If the depth of flow in the river is decreased by one third and the surface slope is decreased by 40%. If he ratio of the discharge is 2.58. Determine the percentage change in discharge.

Question 14

Consider the following statements:
1) If sludge contains large amount of organics then its digestion is carried out aerobically.
2) When the sludge is digested anaerobically its volume reduces to 1/3 of the original volume.

Question 15

A 60 cm diameter sewer is required to flow at 0.4 depth on a grade ensuring a degree of self-cleansing as that obtained at full depth at a velocity of 85 cm/s. Take Manning’s coefficient = 0.015.
Find the required grade for partial depth of flow

Question 16

A single angle section ISA 120*120*12 mm used as tie member in roof truss. The cross sectional area of angle is 2750 mm2 and major and minor moment of inertia of an each angle Izz=Iyy=368*104mm4.Iuu=584*104 mm4 and Ivv=151*104 mm4 respectively. Tie angle section may be subjected to possible reversal of stress due to loads other than wind or earthquake. The maximum length of the angle tie (in m) is

Question 17

For the square beam section as shown in figure, what is the shape factor and fully plastic moment (in kNm)?
[Take fy = 250 N/mm2]

Question 18

The ratio of the mass moment of inertia of a hollow sphere and a solid sphere of equal mass and radius is-

Question 19

A fully saturated clay specimen is placed in a consolidometer and subjected to a loading of 200 kN/m2. After a period of time, it was found that the average pore pressure in the specimen was 70 kN/m2. The percentage of consolidation reached was .......

Question 20

A simply supported beam of span l carries a uniformly distributed load of w per unit length. The beam is propped at the middle of the span. Find the amount by which the prop should yield, in order to make all the three reactions equal [Take EI = constant]

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Oct 13ESE & GATE CE