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When a simply-supported elastic beam of span $L$ and flexural rigidity $E I$ ( $E$ is the modulus of elasticity and $I$ is the moment of inertia of the section) is loaded...
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Muller-Breslau principle is used in analysis of structures for ___________.drawing an influence line diagram for any force response in the structure writing the virtual w...
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A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with $50 \%$ efficiency. The recorded SPT value at a p...
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A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, $k_{H}$ and coefficient of vertical permeability, $k_{V}.$ I...
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Identify the cross-drainage work in the figure. Super passage Aqueduct Siphon aquedutLevel crossing
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Which one of the following options provides the correct match of the terms listed in Column-$1$ and Column-$2$?$$\begin{array}{|l|l|}\hline \qquad \text{Column-1} & \qqua...
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In the context of Municipal Solid Waste Management, 'Haul' in 'Hauled Container System operated in conventional mode' includes the __________.time spent by the transport ...
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Which of the following is equal to the stopping sight distance?(braking distance required to come to stop) $+$ (distance travelled during the perception-reaction time) (b...
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The magnetic bearing of the sun for a location at noon is $ 183^{\circ} \; 30^{\prime}$. If the sun is exactly on the geographic meridian at noon, the magnetic declinatio...
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For the matrix$[A]=\left[\begin{array}{ccc}1 & -1 & 0 \\-1 & 2 & -1 \\0 & -1 & 1\end{array}\right]$which of the following statements is/are TRUE?$[A]\{x\}=\{b\}$ has a un...
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In the frame shown in the figure (not to scale), all four members $\text{(AB, } \mathrm{BC}, \mathrm{CD}$, and $\mathrm{AD})$ have the same length and same constant flexu...
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With regard to the shear design of RCC beams, which of the following statements is/are TRUE? Excessive shear reinforcement can lead to compression failure in concreteBeam...
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The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are:Variation o...
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Which of the following is/are NOT active disinfectant(s) in water treatment? $\cdot \mathrm{OH}$ (hydroxyl radical)$\mathrm{O}_{3}$ (ozone) $\mathrm{OCl}^{-}$(hypochlorit...
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As per the Indian Roads Congress guidelines $\text{(IRC 86: 2018),}$ extra widening depends on which of the following parameters? Horizontal curve radius Superelevation N...
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The steady-state temperature distribution in a square plate $\mathrm{ABCD}$ is governed by the $2$-dimensional Laplace equation. The side $\mathrm{AB}$ is kept at a tempe...
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An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of $76 ~ \mathrm{kPa}$. The undrained cohesion (in $...
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The pressure in a pipe at $\mathrm{X}$ is to be measured by an open manometer as shown in figure. Fluid $\mathrm{A}$ is oil with a specific gravity of 0.8 and Fluid $\mat...
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For the elevation and temperature data given in the table, the existing lapse rate in the environment is _______________ $\text{C}^{\circ} / 100 \mathrm{~m}$ (round off t...
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If the size of the ground area is $6 \mathrm{~km} \times 3 \mathrm{~km}$ and the corresponding photo size in the aerial photograph is $30 \mathrm{~cm} \times 15 \mathrm{~...
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The solution of the differential equation$\frac{d^3 y}{d x^3}-5.5 \frac{d^2 y}{d x^2}+9.5 \frac{d y}{d x}-5 y=0$is expressed as $y=C_1 e^{2.5 x}+C_2 e^{\alpha x}+C_3 e^{\...
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Two vectors $\left[\begin{array}{llll}2 & 1 & 0 & 3\end{array}\right]^{T} $ and $\left[\begin{array}{cccc}1 & 0 & 1 & 2\end{array}\right]^{T}$ belong to the null space of...
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Cholesky decomposition is carried out on the following square matrix $[A]$.$$[A]=\left[\begin{array}{cc}8 & -5 \\-5 & a_{22}\end{array}\right]$$Let $l_{\mathrm{ij}}$ and ...
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In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of $\text{PQ, QR,}$ and $\text{RP}$ are $4, 3,$ and $5$ ...
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Two plates are connected by fillet welds of size $10 \mathrm{~mm}$ and subjected to tension, as shown in the figure. The thickness of each plate is $12 \mathrm{~mm}$. The...
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In the given figure, Point $\mathrm{O}$ indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path $\text{(OP),}$ which...
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The figure shows a vertical retaining wall with backfill consisting of cohesive-frictional soil and a failure plane developed due to passive earth pressure. The forces ac...
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A compound symmetrical open channel section as shown in the figure has a maximum of ______________ critical depth(s).$3$$2$$1$$4$
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The critical flow condition in a channel is given by ____________.[Note: $\alpha$ - kinetic energy correction factor; $Q$ - discharge; $A_c$ - cross-sectional area of flo...
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Match the following air pollutants with the most appropriate adverse health effects:$$\begin{array}{|l|l|}\hline \textbf{Air pollutant} & \textbf{Health effect to human a...
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A delivery agent is at a location $\mathrm{R}$. To deliver the order, she is instructed to travel to location P along straight-line paths of $\mathrm{RC}, \mathrm{CA}, \m...
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Which of the following statements is/are TRUE?The thickness of a turbulent boundary layer on a flat plate kept parallel to the flow direction is proportional to the squar...
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In the context of water and wastewater treatments, the correct statements are:particulate matter may shield microorganisms during disinfectionammonia decreases chlorine d...
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Which of the following statements is/are TRUE for the aerobic composting of sewage sludge?Bulking agent is added during the composting process to reduce the porosity of t...
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The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the following statements a...
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Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE?the Stability decreases...
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A $5 \mathrm{~cm}$ long metal rod $\mathrm{AB}$ was initially at a uniform temperature of $T_0{ }^{\circ} \mathrm{C}$. Thereafter, temperature at both the ends are mainta...
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A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support $\text{P}$ is ______________________ $\text{N}$ (...
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For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The j...
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Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block p...