Previous Year Questions
90 questions — organised by subject with solutions and explanations.
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For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as and . The value of the third coefficient would be ______
Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below The Thiessen mean value (in mm, up to one decimal place) of the rainfall is
A culvert is designed for a flood frequency of 100 years and a useful life of 20 years. The risk involved in the design of the culvert (in percentage, up to two decimal places) is______
The total rainfall in a catchment of area , during a 6 h storm, is 19 cm. The surface runoff due to this storm computed from triangular direct runoff hydrograph is . The for this storm (in cm/h, up to
The infiltration rate f in a basin under ponding condition is given by , where, f is in mm/h and t is time in hour. Total depth of infiltration (in mm, up to one decimal place) during the last 20 minu
At a small water treatment plant which has 4 filters, the rates of filtration and backwashing are 200 and 1000 , respectively. Backwashing is done for 15 min per day. The maturation, which occurs init
A waste activated sludge (WAS) is to be blended with green waste (GW). The carbon (C) and nitrogen (N) contents, per kg of WAS and GW, on dry basis are given in the table. The ratio of WAS to GW requi
The ultimate BOD ( ) of a wastewater sample is estimated as 87% of COD. The COD of this wastewater is 300 mg/L. Considering first order BOD reaction rate constant k (use natural log) = 0.23 per day an
There are 20,000 vehicles operating in a city with an average annual travel of 12,000 km per vehicle. The emission rate is 2.0 g/km per vehicle. The total annual release of will be
As per IS 10500:2012, for drinking water in the absence of alternate source of water, the permissible limits for chloride and sulphate, in mg/L, respectively are
A rapid sand filter comprising a number of filter beds is required to produce 99 MLD of potable water. Consider water loss during backwashing as 5%, rate of filtration as 6.0 m/h and length to width r
A water sample analysis data is given below. The carbonate hardness (expressed as mg/L of , up to one decimal place) for the water sample is ______
A coal containing 2% sulfur is burned completely to ash in a brick kiln at a rate of 30 kg/min. The sulfur content in the ash was found to be 6% of the initial amount of sulfur present in the coal fed
A city generates kg of municipal solid waste (MSW) per year, out of which only 10% is recovered/recycled and the rest goes to landfill. The landfill has a single lift of 3 m height and is compacted to
A schematic flow diagram of a completely mixed biological reactor with provision for recycling of solids is shown in the figure. The mean cell residence time (in days, up to one decimal place) is ____
In the figures, Group I represents the atmospheric temperature profiles (P, Q, R and S) and Group II represents dispersion of pollutants from a smoke stack (1, 2, 3 and 4). In the figures of Group I,
A flocculation tank contains of water, which is mixed using paddles at an average velocity gradient G of 100/s. The water temperature and the corresponding dynamic viscosity are respectively. The theo
Dupuit's assumptions are valid for
Variation of water depth(y) in a gradually varied open channel flow is given by the first order differential equation Given initial condition: y(x=0)=0.8 m. The depth (in m, up to three decimal places
A three-fluid system (immiscible) is connected to a vacuum pump. The specific gravity values of the fluids (S1, S2) are given in the figure. The gauge pressure value (in , up to two decimal places) of
A 5 m wide rectangular channel, the velocity u distribution in the vertical direction y is given by . The distance y is measured from the channel bed. If the flow depth is 2 m, the discharge per unit
A 10 m wide rectangular channel carries a discharge of 20 under critical condition. Using g = 9.81 , the specific energy (in m, up to two decimal places) is ______
A 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is 1000 . The corresponding discharge (in , up to two decimal places) to be maintained in the mode
Bernoulli's equation is applicable for
A rough pipe of 0.5 m diameter, 300 m length and roughness height of 0.25 mm, carries water (kinematic viscosity ) with velocity of 3 m/s. Friction factor (f) for laminar flow is given by , and for tu
A closed tank contains 0.5 m thick layer of mercury (specific gravity = 13.6) at the bottom. A 2.0 m thick layer of water lies above the mercury layer. A 3.0 m thick layer of oil (specific gravity = 0
A flow field is given by Value of the component of the angular velocity(in radians per unit time,up to two decimal places)at the point (0,-1,1) is_____
For a given discharge in an open channel, there are two depths which have the same specific energy. These two depths are known as
In a laboratory, a flow experiment is performed over a hydraulic structure. The measured values of discharge and velocity are 0.05 /s and 0.25 m/s, respectively. If the full scale structure (30 times
The following details refer to a closed traverse: The length and direction (whole circle bearing) of closure, respectively are
A square area (on the surface of the earth) with side 100 m and uniform height, appears as 1 on a vertical aerial photograph. The topographic map shows that a contour of 650 m passes through the area.
A level instrument at a height of 1.320 m has been placed at a station having a Reduced Level (RL) of 112.565 m. The instrument reads -2.835 m on a levelling staff held at the bottom of a bridge deck.
An aerial photograph of a terrain having an average elevation of 1400 m is taken at a scale of 1:7500. The focal length of the camera is 15 cm. The altitude of the flight above mean sea level (in m, u
The contact pressure and settlement distribution for a footing are shown in the figure. The figure corresponds to a
A conventional drained triaxial compression test was conducted on a normally consolidated clay sample under an effective confining pressure of 200 kPa. The deviator stress at failure was found to be 4
Three soil specimens (Soil 1, Soil 2 and Soil 3), each 150 mm long and 100 mm diameter, are placed in series in a constant head flow set-up as shown in the figure. Suitable screens are provided at the
The percent reduction in the bearing capacity of a strip footing resting on sand under flooding condition (water level at the base of the footing) when compared to the situation where the water level
The void ratio of a soil is 0.55 at an effective normal stress of 140 kPa. The compression index of the soil is 0.25. In order to reduce the void ratio to 0.4, an increase in the magnitude of effectiv
The clay mineral, whose structural units are held together by potassium bond is
A core cutter of 130 mm height has inner and outer diameters of 100 mm and 106 mm, respectively. The area ratio of the core cutter (in %, up to two decimal places) is ______
The total horizontal and vertical stresses at a point X in a saturated sandy medium are 170 kPa and 300 kPa, respectively. The static pore-water pressure is 30 kPa. At failure, the excess pore-water p
A 3 m high vertical earth retaining wall retains a dry granular backfill with angle of internal friction of and unit weight of 20 . If the wall is prevented from yielding (no movement), the total hori
In a shrinkage limit test, the volume and mass of a dry soil pat are found to be 50 and 88 g, respectively. The specific gravity of the soil solids is 2.71 and the density of water is 1 g/cc. The shri
At a construction site, a contractor plans to make an excavation as shown in the figure. The water level in the adjacent river is at an elevation of +20.0 m. Unit weight of water is 10 kN/ . The facto
A group of nine piles in a 3 x 3 square pattern is embedded in a soil strata comprising dense sand underlying recently filled clay layer, as shown in the figure. The perimeter of an individual pile is
The compression curve (void ratio, e vs. effective stress, ) for a certain clayey soil is a straight line in a semi-logarithmic plot and it passes through the points and The compression index (up to t
A 0.5 m x 0.5 m square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength, = 50 kPa and unit weight, . The design capacity of the pile is 500 kN. The adhesion f
A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/ and 20 kPa, respect
A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of
The width of a square footing and the diameter of a circular footing are equal. If both the footings are placed on the surface of sandy soil, the ratio of the ultimate bearing capacity of circular foo
A structural member subjected to compression, has both translation and rotation restrained at one end, while only translation is restrained at the other end. As per IS 456 : 2000, the effective length
Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is 10% more. Which one of the following i
A column of height h with a rectangular cross-section of size ax2a has a buckling load of P. If the cross-section is changed to 0.5a x 3a and its height changed to 1.5h, the buckling load of the redes
As per IS 456 : 2000, the minimum percentage of tension reinforcement (up to two decimal places) required in reinforced-concrete beams of rectangular cross-section (considering effective depth in the
A 6 m long simply-supported beam is prestressed as shown in the figure. The beam carries a uniformly distributed load of 6 kN/m over its entire span. If the effective flexural rigidity and the effecti
An RCC beam of rectangular cross section has factored shear of 200 kN at its critical section. Its width b is 250 mm and effective depth d is 350 mm. Assume design shear strength of concrete as 0.62 a
The deformation in concrete due to sustained loading is
The frequency distribution of the compressive strength of 20 concrete cube specimens is given in the table. If is the mean strength of the specimens and is the standard deviation, the number of specim
An RCC short column (with lateral ties) of rectangular cross section of 250 mm x 300 mm is reinforced with four numbers of 16 mm diameter longitudinal bars. The grades of steel and concrete are Fe415
A singly-reinforced rectangular concrete beam of width 300 mm and effective depth 400 mm is to be designed using M25 grade concrete and Fe500 grade reinforcing steel. For the beam to be under-reinforc
A reinforced-concrete slab with effective depth of 80 mm is simply supported at two opposite ends on 230 mm thick masonry walls. The centre-to-centre distance between the walls is 3.3 m. As per IS 456
An 8 m long simply-supported elastic beam of rectangular cross-section (100 mm x 200mm) is subjected to a uniformly distributed load of 10 kN/m over its entire span. The maximum principal stress (in M
A plate in equilibrium is subjected to uniform stresses along its edges with magnitude = 30 MPa and = 50 MPa as shown in the figure. The Young's modulus of the material is and the Poisson's ratio is 0
A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young
A solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown in the figure. The sh
In a fillet weld, the direct shear stress and bending tensile stress are 50 MPa and 150 MPa, respectively. As per IS 800: 2007, the equivalent stress (in MPa, up to two decimal places) will be ______
Four bolts P, Q, R and S of equal diameter are used for a bracket subjected to a load of 130 kN as shown in the figure. The force in bolt P is
A steel column of ISHB 350 @72.4 kg/m is subjected to a factored axial compressive load of 2000 kN. The load is transferred to a concrete pedestal of grade M20 through a square base plate. Consider be
The dimensions of a symmetrical welded I-section are shown in the figure. The plastic section modulus about the weaker axis (in , up to one decimal place) is ______
A prismatic propped cantilever beam of span L and plastic moment capacity is subjected to a concentrated load at its mid-span. If the collapse load of the beam is , the value of is ______
A fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is _
The figure shows a simply supported beam PQ of uniform flexural rigidity EI carrying two moments M and 2M. The slope at P will be
Consider the deformable pin-jointed truss with loading, geometry and section properties as shown in the figure. Given that , , L = 1 m and P = 1 kN. The horizontal displacement of Joint C (in mm, up t
A vertical load of 10 kN acts on a hinge located at a distance of L/4 from the roller support Q of a beam of length L (see figure). The vertical reaction at support Q is
A prismatic beam P-Q-R of flexural rigidity is subjected to a moment of 180 kNm at Q as shown in the figure. The rotation at Q (in rad, up to two decimal places) is ______
All the members of the planar truss (see figure), have the same properties in terms of area of cross-section (A) and modulus of elasticity (E). For the loads shown on the truss, the statement that cor
A bitumen sample has been graded as VG30 as per IS : 73-2013. The '30' in the grade means that
A 7.5 m wide two-lane road on a plain terrain is to be laid along a horizontal curve of radius 510 m. For a design speed of 100 kmph, super-elevation is provided as per IRC: 73-1980. Consider accelera
A car follows a slow moving truck (travelling at a speed of 10 m/s) on a two-lane two-way highway. The car reduces its speed to 10 m/s and follows the truck maintaining a distance of 16 m from the tru
Given the following data: design life n = 15 years, lane distribution factor D = 0.75, annual rate of growth of commercial vehicles r = 6%, vehicle damage factor F = 4 and initial traffic in the year
The space mean speed (kmph) and density (vehicles/km) of a traffic stream are linearly related. The free flow speed and jam density are 80 kmph and 100 vehicles/km respectively. The traffic flow (in v
A well-designed signalized intersection is one in which the
Peak Hour Factor (PHF) is used to represent the proportion of peak sub-hourly traffic flow within the peak hour. If 15-minute sub-hours are considered, the theoretically possible range of PHF will be
The initial concavity in the load-penetration curve of a CBR test is NOT due to
As per IRC:37-2012, in order to control subgrade rutting in flexible pavements, the parameter to be considered is
A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two
The speed-density relationship for a road section is shown in the figure. The shape of the flow-density relationship is