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A reinforcing steel bar, partially embedded in concrete, is subjected to a tensile force $P$. The figure that appropriately represents the distribution of the magnitude o...
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In a two-dimensional stress analysis, the state of stress at a point $P$ is $$\begin{bmatrix} \sigma \end{bmatrix} = \begin{bmatrix}\sigma_{xx} &\tau_{xy} \\ \tau_{xy} &\...
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During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydrationincreasesdecreasesinitially decr...
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The Los Angeles test for stone aggregates is used to examineabrasion resistancecrushing strengthsoundnessspecific gravity
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Which one of the following statements is. $\textbf{NOT}$ correct?A clay deposit with a liquidity index greater than unity is in a state of plastic consistency.The cohesio...
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In a soil investigation work at a site, Standard Penetration Test (SPT) was conducted at every $1.5\:m$ interval upto $30\: m$ depth. At $3\:m$ depth, the observed number...
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Velocity of flow is proportional to the first power of hydraulic gradient in Darcy’s law. This law is applicable to laminar flow in porous mediatransitional flow in porou...
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A body floating in a liquid is in a stable state of equilibrium if its metacentre lies above its centre of gravitymetacentre lies below its centre of gravitymetacentre co...
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Uniform flow with velocity $U$ makes an angle $\theta$ with $y$-axis, as shown in the figureThe velocity potential $(\phi)$, is $\pm U(x\sin\theta+y\cos\theta)$$\pm U(y\s...
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The data for an agricultural field for a specific month are given below:$\begin{array}{ll}\text{Pan Evaporation} &=\:100\:mm\\ \text{Effective Rainfall} &=\:20\:mm\;\te...
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During chlorination process, aqueous (aq) chlorine reacts rapidly with water to form $Cl^-,HOCl$, and $H^+$ as shown below $$Cl_2(aq)+H_2O\:{\large\rightleftharpoons}\:HO...
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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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The probability that a $50$ year flood may $\textbf{NOT}$ occur at all during $25$ years life of a project (round off to two decimal places), is _______.
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A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale)Neglecting self-weight, the maximum bending moment g...
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In an urban area, a median is provided to separate the opposing stream of traffic. As per $IRC:86-1983$, the desirable minimum width (in $m$, expressed as integer) of the...
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A road in a hilly terrain is to be laid at a gradient of $4.5\%$. A horizontal curve of radius $100\:m$ is laid at a location on this road. Gradient needs to be eased due...
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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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A fully submerged infinite sandy slope has an inclination of $30^\circ{}$ with the horizontal. The saturated unit weight and effective angle of internal friction of sand ...
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A $4\:m$ wide rectangular channel carries $6\:m^3/s$ of water. The Manning’s ‘$n$’ of the open channel is $0.02$. Considering $g=9.81\:m/s^2$, the critical velocity of fl...
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A river has a flow of $1000$ million litres per day (MLD), $BOD_5$ of $5\:mg/litre$ and Dissolved Oxygen (DO) level of $8\:mg/litre$ before receiving the wastewater disch...
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For the Ordinary Differential Equation ${\large\frac{d^2x}{dt^2}}-5{\large\frac{dx}{dt}}+6x=0$, with initial conditions $x(0)=0$ and ${\large\frac{dx}{dt}}(0)=10$, the s...
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A continuous function $f(x)$ is defined. If the third derivative at $x_i$ is to be computed by using the fourth order central finite-divided-difference scheme (with step ...
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Distributed load(s) of $50\:kN/m$ may occupy position(s) (either continuously or in patches) on the girder $\textbf{PQRST}$ as shown in the figure (not drawn to the scale...
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A rigid weightless platform $\textbf{PQRS}$ shown in the figure ( not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by ...
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A cantilever beam $\textbf{PQ}$ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at $\textbf{R}$ as shown in the figure The deflection at the fre...
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A dowel bar is placed at a contraction joint. When contraction occurs, the concrete slab cracks at predetermined location(s). Identify the arrangement, which shows the co...
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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 appropriate design length of a clearway is calculated on the basis of ‘Normal Take-off’ condition. Which one of the following options correctly depicts the length of ...
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The total stress paths corresponding to different loading conditions, for a soil specimen under the isotropically consolidated stress state (O), are shown below $\begin{...
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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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If $C$ represents a line segment between $(0,0,0)$ and $(1,1,1)$ in Cartesian coordinate system, the value (expressed as integer) of the line integral$$\int_C [(y+z)dx+(x...
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Consider the system of equations$$\begin{bmatrix}1&3&2 \\2&2&-3 \\ 4&4&-6 \\ 2&5&2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} 1 \\ 1 ...
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A rigid, uniform, weightless, horizontal bar is connected to three vertical members P , Q and R as shown in the figure (not drawn to the scale). All three members have id...
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The flange and web plates of the doubly symmetric built-up section are connected by continuous $10\:mm$ thick fillet welds as shown in figure (not drawn to the scale). Th...
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The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of $M25$ grade concrete and $Fe500$ grade reinforcing steel. The total cr...
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A simply supported prismatic concrete beam of rectangular cross-section, having a span of $8\:m$, is prestressed with an effective prestressing force of $600\:kN$. The ec...
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Traffic volume count has been collected on a $2$-lane road section which needs upgradation due to severe traffic flow condition. Maximum service flow rate per lane is obs...