BARC 2020: Full-Length Mock for ESE & GATE CE Exams

Question 1

As per IRC, Recommended shape of transition curve is

Question 2

On a broad gauge rail line for a 3 degree curve the equilibrium cant is provided for a speed of 80 kmph is-

Question 3

Calculate The turning radius of the exit taxiway using the following data by horonjeff’s equation
Wheel base =20m
Tread of main landing gear = 7.2m
Width of taxiway = 22.5m
Take oleo distance = 6m.

Question 4

If the speed density relation for a particular road is give ny
u = 4.5k – 0.15k²

where u is the speed in kmph and ‘k’ is density in veh/km, then the maximum speed possible on the road in normal conditions is?

Question 5

Consider the following statements about the theodolites:
1) Transit Theodolite is a theodolite in which the telescope can be transited
2) EDMI is a theodolite fitted with micrometre for measurements.
3) A double reading theodolite is one in which diametrically opposite segments of the graduated circle are brought into view and the readings are averaged.

Which of the following statements are correct?

Question 6

An observer stands on the top of a tower with his eye level at 70 m. If the radius of earth is 6400 km, then the dip of horizon is ________ degrees.

Question 7

The closing error for the following traverse ABCDE is ________ cm.

Question 8

A spring is connected to the free end of a cantilever to reduce the deflection. When a moment of 2 kNm acts on the free end find out the decrease in the deflection due to the spring. Take EI = 20,000 kNm².

Question 9

A spherical solid material ball is hit by a batsman such that the ball deform in the x direction. The radius of the ball is 15 mm and the deformation is 1 mm. if the volume of the ball remains constant before and after the ball is hit by the batsman. Find the volumetric strain of the spherical ball.

Question 10

The slope at point B is

Question 11

A hollow steel shaft 1.5 m long is to transmit a torque of 80 kN-m. What will be the inside diameter (in mm) of shaft, if the angle of twist should not exceed 1 ° and the allowable shear stress is 90 MPa?
[Take G = 85 GPa]

Question 12

If a point load acting at the mid-span of a fixed beam of uniform section produces fixed end moments of 90 kNm, then the same load spread uniformly over the entire span will produce fixed end moments equal to

Question 13

The magnitude of UDL that should be applied to get zero deflection at the midspan of a beam of length 5 m simply supported. Take the flexural rigidity of the beam as EI.

Question 14

For a fixed beam ABCD with fixed ends A and B, the free bending moment diagram due to load is shown below. If the fixing moment at end B is 222.22 kN-m, then the fixing moment at A is ________ kN-m.

Question 15

The members EJ and IJ of a steel truss shown in figure below are subjected to a temperature rise of 40°C. The coefficient of thermal expansion of steel is 0.000012℃^-1/l. The displacement (mm) of joint E relative to joint H along the direction HE of the truss is ____________.

Question 16

A fill with volume of 140 m³ has to be constructed with void ratio 0.8, soil is excavated from pit with void ratio 1.5. If excavation cost is 1 Rupee per m³ , cost of fuel per litre is 50 rupess and if distance between fill and pit is 60 km and truck mileage is 30km\l. The total cost is?

Question 17

Determine the value of Maximum shear stress for the stress triangle shown below. Take angle theta as 63.4⁰.

Question 18

It required a time of 3 min 30 sec for 40% consolidation of a 35-mm-thick clay layer (2- way drainage condition) in the laboratory. How long (in days) will it take for a 4-m-thick clay layer of the same clay in the field under the same pressure increment to reach 40% consolidation? In the site, there is a rock layer at the bottom of the clay.

Question 19

From the following given statements, correct statements are
a) The diameter of the openings between the particles is equal to D₁₅ size of the particle.
b) Quicksand conditions can develop even in gravel.
c) The effective stress in a fully submerged soil depends upon its submerged unit weight.
d) Vane shear test can be conducted on all types of soil.
e) It is easier to draw the modified failure envelope than the Mohr-Coulomb envelope.

Question 20

On assuming a load distribution at a slope of two (vertical) to one (horizontal) at adepth of 4m below a srip footing of width 2m per unit length is subjectd to a load of 100 kpa.

Question 21

As per IS 456 – 2000, the dosage of retarders, plasticisers and superplasticisers shall be restricted to _____, _____ and _____ percent respectively by weight of cementitious materials ?

Question 22

A simply supported roof slab is designed as a strip of unit width. The dimensions of the slab are 1.5m×4.5m and it has a maximum bending moment of 25kNm, then the total depth of the slab incorporating the 20 mm clear cover and 10 mm allowance for reinforcement is (take M25 concrete and Fe 410 steel)

Question 23

In the Design of Beams for Limit state of collapse in Flexure as Per IS-456 -2000, Let the maximum strain in the concrete be limited to .004.For the situation consider a rectangular Beam section with breadth 300mm, effective depth 400mm,area of tensile steel =1200mm²,and characteristic strength of concrete =25Mpa and Steel= 500MPa
At the limiting state of collapse in Flexure, the force acting on the compression Zone of the section assuming the section to be under reinforced _______

Question 24

A doubly reinforced beam having the following parameter. The strain in compression reinforcement is ________.
Given:

, clear cover=25mm, dia of bar used = 20mm, maximum permissible strain in concrete is 0.0035

Question 25

The left branch canal carrying a discharge of 15 cumes has culturable command area of 2000 hectares. The intensity of Rabi crop is 50 percent and the base period is 90 days. The right branch canal carrying discharge of 5 cumecs has culturable command area of 1200 hectares, intensity of irrigation of Rabi crop is 50 percent and the base period is 100 days. Then right canal system is

Question 26

The following data were recorded from an irrigated field:
1) Field capacity = 15%
2) Permanent wilting point = 7%
3) Readily available moisture = 70% of available moisture
4) Dry unit weight of soil = 1.3g/cc
5) Effective rainfall = 20mm
6) Water application efficiency = 80%
Based on above data, the field irrigation requirement(mm) per meter depth of soil will be:

Question 27

The maximum height of a low gravity dam of elementary profile made up of concrete of relative density 2.4 and safe allowable stress on foundation is 3.6MPa (Ignoring uplift force).

Question 28

The ordinates of a unit hydrograph are given below

Find the catchment area represented by this hydrograph in ha.

Question 29

An infiltration gallery placed at a depth of 5m from the ground water table is used to obtain 680 cumec/day, subject to the condition that the drawdown in the gallery on pumping should not exceed 3.9m. The radius of influence is found to be 110m with the hydraulic conductivity as 96m/day. What will be the required length (in cm) of the infiltration gallery?

Question 30

Find the size of an open well to be provided in a fine sand aquifer region having an yeild of 10 l/sec under the depression head of 2.5 m. The specific yeild of the soil is 0.5 m³/hr.

Question 31

The Chezy’s coefficient of a wide rectangular open channel is 50 .

The model scale ratio is 1 : 64 . The chezy’s coefficient of model river is

Question 32

A reservoir containing oil of density 920 kg/m³ and viscosity 1.5 poise has a vertical pipe 70 cm long and 2 cm in diameter.

The velocity through the tube assuming laminar flow when the height of oil level of the tank is 0.8 m above the pipe inlet is

Question 33

In a pipe of diameter 20 cm, a liquid of density 800 kg/m³ is flowing with a discharge of pipe 350 l/sec and friction factor is estimated as 0.0085. If viscosity of liquid is 2.9×10^-4 Ns/m² and assuming pipe is in smooth turbulent flow region then shear velocity will be

Question 34

Match the following;
List 1
P. Piezometric Head
Q. Stagnation Head
R. Dynamic Head
S. Static Head
List 2
1) Sum of pressure head and velocity head.
2) Pressure head
3) Velocity head
4) Sum of datum head and pressure head

Question 35

Water flows through a circular orifice 30 mm diameter in the side of a tank. The constant head of water above the centre of orifice is 900 mm. The coordinate of the centre line of the jet are 35 cm horizontal from vena contracta and 3.5 cm vertically below the centre of the orifice. The discharge from the office is 2.00 lps. The coefficients of discharge and velocity of the orifice are respectively,

Question 36

If velocity is zero over 1/3rd of a cross-section and is uniform over remaining 2/3rd of the cross-section, then the cor-rection factor for kinetic energy is

Question 37

The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required (m²) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre/hr/m².

Question 38

which one of the following pollutants or pairs of pollutants is formed due to photochemical reactions?

Question 39

An icecream factory has a daily discharge of the waste water at the average rate of 2400 m³/day. The waste water coming out of the factory was tested at 2% dilution and following results were obtained:
DO of aerated water = 5mg/l
DO of waste water sample = 0.5 mg/l
DO of diluted sample after 5 days = 1.4 mg/l
Deoxygenation constant = 0.1 day^-1
The ultimate BOD of the sample is

Question 40

If the concentration of Na⁺, Ca⁺⁺ and Mg⁺⁺ in a water sample are 345,60 and 18 mg/l respectively, then the Sodium Absorption Ratio (SAR) of this water will be ________.

Question 41

A sludge of 140 m³ has moisture content of 95 percent. The volume, if moisture content changes to 90 percent, will be ______ m³.

Question 42

In water treatment plant, the pH values of incoming and outgoing water are 7.5 and 8.2 respectively. Assuming a linear variation of pH with time, the pH value of mix is

Question 43

Block A weighing 200 kg resting on the rough floor supports block B weighing 100 kg as shown in the figure. Both the blocks are connected with a rope passing over a smooth pulley. Find the force P required to impending motion. (Take

and coefficient of friction = 0.3)

Question 44

If

, then

is equal to

Question 45

By Simpson's one-third rule taking n = 4, the value of

is equal to

Question 46

The probability that in a family of 4 children there will be atleast one boy

Question 47

Two plates subjected to direct axial tension, each of 16 mm thick and having width 150 mm and 250 mm respectively are to be fillet welded. The yield stress and the ultimate tensile stress of steel and welds are 250 MPa and 410 MPa respectively. The welding is done at a shop (ϒ_mw =1.25). The joint is subjected to a factored load of 400 kN. The length of the weld required using minimum permissible weld size is

Question 48

The tensile capacity of a plate 140 mm wide and 10 mm thick connected to another plate using 18 mm diameter bolts, such that two bolts occur in one row, is _________ kN.
[Use LSM Method]

Question 49

The slack of events 3 and 5 is from the project network given below?

Question 50

Which of the following component has least quantity in portland cement