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BARC 2020: Mini Mock 1

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Question 1

A solid steel sphere having modulus of elasticity of 200GPa and poission’s ratio of 0.25 is subjected to what hydrostatic pressure (in MPa) so that its volume is reduced by 0.3%.

Question 2

In a plane stress problem, there are normal tensile stresses 80 N/mm² and 20 N/mm² accompanied by shear stress τ_xy. If the minimum principal stress on a certain plane is zero, then τ_xy, (in N/mm²) is equal to

Question 3

A prismatic bar is suspended under its own weight and the deflection due to its own weight is given as 3 mm. Now considering the bar as weightless, if the prismatic bar is suspended with a load equal to its own weight then under this condition what would be deflection of the bar.

Question 4

What is the deflection of the free end of the cantilever beam as shown in the figure below?

Question 5

Two shafts A and B are made of the same material. If the diameter of shaft B is twice that of shaft A, then the ratio of power which can be transmitted by shaft A to that of shaft B is

Question 6

A rigid bar AB of length L is supported by hinge at one end A and two spring of stiffness K and 2K at other end as shown in figure, the critical load for bar will be
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Question 7

Find the magnitude of the force applied at the midpoint of the span of the given beam to make the slope at both the ends zero.

Question 8

In a two dimensional stress analysis, the state of stress at a point is shown below. If the principal stresses on planes AB and BC are given as 120 MPa and 70 MPa respectively, then the ratio of the magnitude of normal stress to the shear stress at plane AC is _______.

Question 9

Calculate the value of bending moment of a simply supportive beam having the span length 8 m and 40 mm radius of cross-section carries a consistently applied load of 2.2 kN/m.

Question 10

Two closely coiled helical springs 'A' and 'B' are equal in all respects but number of turns of spring 'A' is half that of spring 'B', the ratio of deflections in spring 'A' to spring 'B' is -___________.

Question 11

Using the Plasticity chart, for a low compressible soil sample with a liquid limit of 32% and Plastic limit of 25% will read the plasticity Index value (in %) as

Question 12

A sample of soil was prepared by mixing a quantity of dry soil with 10% by mass of water. Find the mass of this wet mixture (in kg) required to produce a cylindrical, compacted specimen of 15 cm diameter and 12.5 cm deep and having 6% air content.
[Take specific gravity of solids = 2.68]

Question 13

If in 10years 85% consolidation is achieved by a clay layer, then time that would be required to achieve same degree of consolidation for half the layer, 10 times more permeable and 4 times more compressible.

Question 14

A masonary dam has pervious sand as foundation. determine the maximum permissible upward gradient. if a factor of safty of 4 is required against boiling?
For sand

and

Question 15

In a drained triaxial test, a saturated specimen of cohesionless sand fails under a deviator stress of 5.35 kg/cm² when the cell pressure is 1.5 kg/cm². The inclination of the failure plane to the horizontal is

Question 16

A bed of sand consists of three horizontal layers of equal thickness. The value of Darcy's k for the upper and lower layers is 1 x 10^-2 cm/sec and that for the middle layer is 1 x 10^-1 cm/sec. The ratio of the permeability of the bed in the horizontal direction to that in the vertical direction is

Question 17

A 10 m long concrete pile of square cross-section 400 mm × 400 mm is driven into a homogeneous clay layer. The ultimate load capacity of pile is 65o kN [N_C = 9]. Assume the undrained cohesion value of clay to be 40 kPa. If the cross section of the pile is reduced to 250 mm × 250 mm and the length of pile is increased to 20 m, the ultimate load capacity will be

Question 18

Given:

= Poisson's ratio of soil sample 1

= Poisson's ratio of soil sample 2
K1 = coefficient of earth pressure at rest for soil sample 1
k2 = coefficient of earth pressure at rest for soil sample 2
If

= 1.5 and (1-

)/(1-

) = 0.875, then the value of K1/k2 will be

Question 19

The stress distribution at a depth beneath a loaded area is determined using Newmark's influence chart which indicate an influence value of 0.005. The number of the segments covered by the loaded area in the chart is 20 and the intensity of loading on the area is 10 T/m2. The intensity of stress distribution at that depth is

Question 20

Boring method is to be chosen depending upon the type of exploratory strata. In this context, Match List-I with List-II and select the correct answer using the codes given below the lists:
List-I
A) Auger boring
B) Wash boring
C) Percussion drilling
D) Rotary drilling

List-II
1) Partly saturated sands, silts and medium of stiff cohesive soils.
2) All types of soils and rocks except in stony or porous soils and fissured rocks.
3) Practically all types of soils except hard and commented soil or rock.
4) All types of soils and rocks. Difficult in loose sands and soft sticky clays.

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ESE & GATE CE General

Feb 17ESE & GATE CE