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BARC 2020: Mini Mock 3

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Question 1

A steel bar of length 1.7 m having material yield point of 275 MPa and modulus of elasticity of 200 GPa. An applied axial load gradually builds up from zero to a value such that the elongation of the bar is 15 mm after which load is removed. If we assume elastic and perfectly plastic behaviour of the material, then the permanent elongation of the bar after removal of the load is

Question 2

A simply supported beam of 4m span is carrying loads as shown in figure below

The location of point of maximum bending moment from C is

Question 3

The variation of bending stress and shear stress for the cross-section shown below will be.

Question 4

In a homogenous, isotropic and elastic material, the modulus of elasticity E in terms of G and K is equal to

Question 5

An undisturbed saturated specimen of clay has a volume of 18.9 cm3 and a mass of 30.2 gm. On over drying, the specimen is dried and volume is measured by mercury displacement as 9.9 cm3. The linear shrinkage of the specimen is

Question 6

A normally consolidated clay settled 10 mm when effective stress was increased from 100 kN/m2 to 200 kN/m2 . If the effective stress in exactly same type of soil is increased from 200 kN/m2 to 400 kN/m2, then the settlement of the clay is,

Question 7

What is the shearing strength of soil along a horizontal plane at a depth of 4m in a deposit of sand having the following properties:
Angle of internal friction, = 35 ° Dry unit weight, =17 kN/m3 Specific gravity, G = 2.7.
Assume the ground water table is at a depth of 2.5m from the ground surface.

Question 8

Two venturimeter of different area ratios but same throat diameter are connected at different locations in a pipeline. Similar manometers are used across the two venturimeters to register the head difference .The first venturimeter of area ratio 2 registers a head difference ‘h’, while second venturimeter registers ‘0.4h’. What is the area ratio for the second venturimeter?

Question 9

The pump is driven by an electric motor. If the pump, driver and motor efficiencies are 80%, 82% and 90% respectively, then the discharge and head are 270 m3/hr and 20 m respectively. The required size of electric motor (in HP) in bore pairs will be

Question 10

A fluid is flowing inside a pipe with a density of 1200kg/m3 . The fluid experiences a shear force of 4800 N/m2 . The friction factor for the flow f=0.032. Assuming the fluid to be ideal and flow is viscous inside the fluid. Find the velocity of the flow inside the pipe

Question 11

For the structure shown below, the slope deflection equation of the member BA i.e. MBA

Question 12

If the member CD has been fabricated 15 mm short, by how much will point C deflect vertically? (in mm, downward +ve)

Question 13

The degree of freedoms are indicated in the figure below. Find the flexibility matrix.

Question 14

An ISLC 300 section is used to transmit a force of 600 kN. The channel section is connected to gusset plate (10 mm) using 5 mm size fillet welding with two slots. The overlap is limited to 350 mm. If the width of the 2 slots is limited to 25 mm then the length of the slot (in mm) is__ (Take allowable shear strength of weld as 108 MPa)

Question 15

According to the kinematic theorem the load calculated must be

Question 16

A mass of weight 120KN is projected upwards with initial velocity 15 m/s. What will be the required time to reach the highest point?

Question 17

A prestressed concrete pile, 250 mm square contains 60 pre-tensioned wire each of 20 mm diameter uniformly distributed over the section. The wires are initially tensioned with a total force of 300 kN.

Given Es = 2.1 × 105 N/mm2 and Ec = 3.2 × 104 N/mm2, shrinkage strain of concrete = 200 × 10–6 and creep coefficient = 1.6

Consider the following statements :

(i) Loss of stress due to elastic deformation is 31.5 N/mm2

(ii) Loss due to creep of concrete = 40.4 N/mm2

(iii) Loss due to shrinkage of concrete = 42 N/mm2

Which of the above statements are correct ?

Question 18

If the core diameter of a circular RCC column is 510 mm and diameter of steel bar forming the helix is 20 mm then the maximum pitch (in mm) of the helical reinforcement will be

Question 19

An ordinary mild steel bar has been prestressed to working stress of 250 MPa. Youngs modulus of elasticity of steel is 200 GPa, permanent negative strain due to shrinkage and creep is 0.0011 How much the effective stress left in steel

Question 20

The percentage loss of pre-stress due to anchorage slip of 3 mm in a concrete beam of length 26m, which is post-tensioned by a tendon with as initial stress of 1000N/mm2 and modulus of elasticity equals to 2.1 X 105 N/mm2 is
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Mar 16ESE & GATE CE