BARC 2020: Mini Mock 2 for ESE & GATE CE Exams

Question 1

The given figures show a beam with its influence line for shear force and bending moment at section ‘X’:

The value of the SF (in kN) and BM (in kNm) at section ‘X’ due to a concentration load of 50 kN placed at mid span will be

Question 2

A bar 1 m long, 20 mm diameter with a central hole of 10 mm diameter upto 500 mm length is suspended vertically as shown in figure. If the weight density of bar is 0.07644 N/cm³ and E = 208 kN/mm², then the change in its length due to its own weight is ____ x 10^-4 mm.

Question 3

A slender bar of 100 mm² cross-section is subjected to loading as shown in figure. If the modulus of elasticity is taken as 200 x 10⁹ Pa, then the elongation produced in the bar will be _________ mm.

Question 4

A shaft subjected to torsion experience a pure shear stress τ on the surface. The maximum principal stress on the surface which is at 45° to the axis has a value

Question 5

A beam with two internal hinges is shown below, then the conjugate beam corresponding to this beam is

Question 6

At a certain section of a shaft 80 mm in diameter there is a bending moment of 3.5 kNm and a twisting moment of 5 kNm. If the Poisson’s ratio of material is 0.28 then the magnitude of stress acting alone that can produce the same maximum strain will be

Question 7

The moisture content of a fully saturated undisturbed clay obtained from a volcanic region is 235%. The dry unit weight is 17kN/m³ and the specific gravity is 2.72. Compare the saturated and the submerged unit weight.

Question 8

In a soil deposit of 3 layers with the permeability ratio of 1: 1.5:3. The soil deposit is with uniform thickness, what is the ratio of average permeability in horizontal to vertical stratification of layers?

Question 9

The equation of the effective stress failure envelope for normally consolidated clayey soil is. a drained triaxial test was conducted with the same soil at a chamber confining pressure of 80. Deviator at stress failure is

(take angle φ = 25⁰)

Question 10

The soil profile above the rock surface for a 30 ° infinite is shown in the figure below, where c_u is undrained shear strength and γ_t is total weight of the soil. The depth at which the slip occurs is

Question 11

A 1.5

1.5 m footing is to be constructed on the dense sand. To determine the ultimate bearing capacity of soil, plate load test is conducted for the permissible settlement as prescribed by codal provisions. If 500 mm square plate is used then the allowable settlement(mm) of the plate for the test is_____.

Question 12

The rigid portal frame shown in fig. will not have side sway if:

Question 13

Find the deflection at the free end of the following cantilever beam AB, taking EI = 15000 kN/m².

Question 14

Following portal frame having both joint hinges and member hinges. The numbers of independent coordinates are?

Question 15

A steel truss is shown below. FGH is a weightless rigid bar. A load of 12KN (downward) acting at H. The member force of CE is (Tension: Positive)

Question 16

In case of Steady Flow

Question 17

For laminar flow in a pipe of circular cross-section, Darcy's friction factor is

Question 18

Which of the following shows shear stress and rate of shear deformation relation for pseudoplastic fluid

Question 19

A cylinder made of wood has a length a and diameter

. The cylinder is floating in water with its axis vertical. If the specific gravity of wood is 0.6, the metacentric height is

Question 20

A fluid is flowing along 1D tapered pipe where area varies as

The discharge through the tube pipe is given as 5m³ /s. The length of the pipe is 2m. Find the acceleration of the fluid when it comes out from end of the pipe. Assume the flow is steady and inviscid