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In the figure shown above, $\text{PQRS}$ is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square a...
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A parabolic vertical curve is being designed to join a road of grade $+5 \%$ with a road of grade $-3 \%$. The length of the vertical curve is $400 \: m$ measured along t...
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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 decim...
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A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is $10$ times t...
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Net ultimate bearing capacity of a footing embedded in a clay stratumincreases with depth of footing onlyincreases with size of footing onlyincreases with depth and size ...
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$SO_2$ and $CO$ adversely affectoxygen carrying capacity of blood and functioning of lungs respectivelyfunctioning of the respiratory system and brain respectivelyfunctio...
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The survey carried out to delineate natural features, such as hills, rivers, forests and man-made features, such as towns, village, buildings, roads, transmission line, a...
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A levelling is carried out to establishing the Reduced Levels (RL) of point R with respect to the Bench Mark (BM) at P. The staff readings taken are given below:$\begin{a...
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The amount of $CO_2$ generated (in kg) while completely oxidizing one kg of $CH_4$ to the end products is _________
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The degree of disturbance of the sample collected by the sampler is expressed by a term called the “area ratio”. If the outer diameter and inner diameter of the sampler a...
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Elevation and temperature data for a place are tabulated below:$$\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \...
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The state of stress represented by Mohr’s circle shown in the figure isuniaxial tensionbiaxial tension of equal magnitudehydrostatic stresspure shear
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A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross section is r...
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The traffic starts discharging from an approach at an intersection with the signal turning green. The constant headway considered from the fourth or fifth headway positio...
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Muskingum method is used inhydrologic reservoir routinghydrologic channel routinghydraulic channel routinghydraulic reservoir routing
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The maximum applied load on a cylindrical concrete specimen of diameter $150\: mm$ and length $300\: mm$ tested as per the split tensile strength test guidelines of $IS\:...
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For an axle load of $15$ tonne on a road, the Vehicle Damage Factor (round off to two decimal places), in terms of the standard axle load of $8$ tonne, is __________.
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A prismatic linearly elastic bar of length $L$, cross-sectional area $A$, and made up of a material with Young’s modulus $E$, is subjected to axial tensile force as shown...
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The planar structure $RST$ shown in the figure is roller-supported at $S$ and pin-supported at $R.$ Members $RS$ and $ST$ have uniform flexural rigidity $(EI)$ and $S$ is...
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The flow-density relationship of traffic on a highway is shown in the figureThe correct representation of speed-density relationship of the traffic on this highway is
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$\text{Group-I}$ gives a list of test methods for evaluating properties of aggregates. $\text{Group-II}$ gives the list of properties to be evaluated.$$\begin{array}{ll}\...
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Permeability tests were carried out on the samples collected from two different layers as shown in the figure (not drawn to the scale). The relevant horizontal $(k_h)$ an...
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A $10\ m$ high slope of dry clay soil $\text{( unit weight}\: = 20 kN/m^3$), with a slope angle of $45^{\circ}$and the circular slip surface, is shown in the figure (not ...
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Alkalinity of water, in equivalent/litre (eq/litre), is given by$${\{HC{O_3}^-}\} + 2{\{C{O_3}^{2-}}\} + {\{OH^-\}}\ –\ {\{H^+\}}$$where, $\{\ \ \}$ represents concentr...
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A concrete beam of span $15\: m,\ 150\: mm$ wide and $350\: mm$ deep is prestressed with a parabolic cable as shown in the figure (not drawn to the scale). Coefficient of...
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The plane truss has hinge supports at $P$ and $W$ and is subjected to the horizontal forces as shown in the figure (not drawn to the scale)Representing the tensile force ...
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An amount of $35.67\:mg\:HCl$ is added to distilled water and the total solution volume is made to one litre. The atomic weights of $H$ and $Cl$ are $1$ and $35.5$, resp...
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In a drained triaxial compression test, a sample of sand fails at deviator stress of $150\:kPa$ under confining pressure of $50\:kPa$. The angle of internal friction (in ...
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The relationship between traffic flow rate (q) and density (D) is shown in the figure The shock wave condition is depicted byflow with respect to point $1\:(q_1=q_{max})$...
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The soil profile at a site up to a depth of $10\:m$ is shown in the figure ( not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of $70\:kN/m^2$ a...
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Water flows at the rate of $12\:m^3/s$ in a $6\:m$ wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is $30\:cm$ (ju...
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A water supply scheme transports $10\:MLD$ (MIllion Litres per Day) water through a $450\:mm$ diameter pipeline for a distance of $2.5\:km$. A chlorine dose of $3.50\:mg/...
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An open traverse PQRST is surveyed using theodolite and the consecutive coordinates obtained are given in the tableIf the independent coordinates (Northing, Easting) of s...
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In a homogenous unconfined aquifer of area $3.00\:km^2$, the water table was at an elevation of $102.00\:m$. After a natural recharge of volume $0.90$ million cubic meter...
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For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flan...
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Which one of the following options contains ONLY primary air pollutants?Hydrocarbons and nitrogen oxidesHydrocarbons and ozoneOzone and peroxyacetyl nitrateNitrogen oxide...
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Analysis of a water sample revealed that the sample contains the following species.$CO_3^{2-}, Na^+, H^+, PO_4^{3-}, Al^{3+}, H_2CO_3, Cl^-, Ca^{2+}, Mg^{2+}, HCO_3^-, Fe...
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Structural failures considered in the mechanistic method of bituminous pavement design areFatigue and RuttingFatigue and ShearRutting and ShearShear and Slippage
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The notation “SC” as per Indian Standard Soil Classification System refers toSandy claySilty clayClayey siltClayey sand
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An anisotropic soil deposit has coefficient of permeability in vertical and horizontal directions as $k_z$ and $k_x$, respectively. For constructing a flow net, the horiz...
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The data from a closed traverse survey PQRS (run in the clockwise direction) are given in the table$$\begin{array}{|c|c|} \hline \text{Line} & \text{Included angle (in d...
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For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure.By how much angle $( \theta)$ in degrees the stress e...
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The critical bending compressive stress in the extreme fibre of a structural steel section is $1000 \: MPa$. It is given that the yield strength of the steel is $250 \: M...
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In the context of provisions relating to durability of concrete, consider the following assertions:$\textbf{Assertions:(1)}: $ As per $IS \: 456-2000$, air entrainment to...
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Chlorine is used as the disinfectant in a municipal water treatment plant. It achieves $50$ percent of disinfection efficiency measured in terms of killing the indicator ...
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A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The...
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When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long ...
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A water treatment plant treats $6000 \: m^3$ of water per day. As a part of the treatment process, discrete particles are required to be settled in a clarifier. A column ...
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A broad gauge railway line passes through a horizontal curved section (radius $=875 \:m$) of length $200 \: m$. The allowable speed on this portion is $100 \: km/h$. For ...
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The speed-density relationship of a highway is given as $$u = 100 – 0.5 \: k$$ where, $u=$ speed in $km$ per hour, $k=$ density in vehicles per $km$. The maximum flow (in...