List of top Civil Structural and Transport Engineering Questions asked in CUET (PG)

The loss of head due to sudden enlargement in a pipe is expressed by: (where symbols have their usual meanings)
Reynolds number is defined as the ratio of:
Critical depth in a channel is expressed by: (where $Q =$ discharge, $A =$ Area of flow, $T =$ top width of flow and $g =$ acceleration due to gravity)

Which of the following statements are true? 

A. The same Bernoulli's equation is applicable to all the points in the flow field if the flow is irrotational. 
B. The value of "Constant in the Bernoulli's equation" is different for different streamlines if the flow is rotational. 
C. When a nozzle is fitted at the end of a long pipeline, the discharge increases. 
D. The velocity of flow at the nozzle end is more than that in the case of a pipe without a nozzle, the head in both cases being the same. 
Choose the most appropriate answer from the options given below:

A practical example of steady non-uniform flow is given by the:
If the dynamic viscosity of a fluid is 1.2 poise and its specific gravity is 0.8, then kinematic viscosity in SI units will be:
The minimum bearing capacity of a soil under a given footing occurs when the groundwater table location is at:

Which of the following statements are true?

A. The proportioning of footing in sand is more often governed by settlement rather than by bearing capacity. 
B. The pressure bulb profiles under a strip footing form as co-axially imaginable bulbs under its length. 
C. Friction piles are also called as 'floating piles'. 
Choose the most appropriate answer from the options given below:

A square pile of section $50 \, \text{cm} \times 50 \, \text{cm}$ and length $15 \, \text{m}$ penetrates a deposit of clay having $C = 5 \, \text{kN/m}^2$ and the adhesion factor $\alpha = 0.8$. What is the load carried by the pile through skin friction only?

Match LIST-I with LIST-II:\[\begin{array}{|c|l|l|} \hline \textbf{LIST-I (Type of footing/foundation)} & & \textbf{LIST-II (Suitability)} \\ \hline \text{A. Spread footings} & & \text{II. Up to 3 m black cotton soil followed by medium dense sand} \\ \hline \text{B. Friction piles} & & \text{IV. Loose sand extending to great depth} \\ \hline \text{C. Raft foundation} & & \text{I. Soft clay for 10 m followed by hard rock stratum} \\ \hline \text{D. End bearing piles} & & \text{III. Compact sand deposit extending to great depth} \\ \hline \end{array}\] Choose the most appropriate match from the options given below:
For an anisotropic soil, permeability in $x$ and $y$ directions are $k_x$ and $k_y$ respectively, in a two-dimensional flow. The effective permeability ($k_{eff}$) for the soil is given by:
Two footings (one is circular and the other is square) are founded on the surface of a purely cohesionless soil. The diameter of the circular footing is the same as that of the side of the square footing. The ratio between ultimate bearing capacity of circular footing to that of the square footing (using Terzaghi equation) will be:
To have zero active pressure intensity at the top of a wall in a cohesive soil, one should apply a uniform surcharge intensity of: (Where $C =$ cohesion and $\alpha =$ angle of failure plane with major principal plane)
Match LIST-I with LIST-II:\[\begin{array}{|c|l|l|} \hline \textbf{LIST-I (Name of Test)} & & \textbf{LIST-II (Used for)} \\ \hline \text{A. Plate load test} & & \text{I. To estimate bearing capacity of granular soil} \\ \hline \text{B. Standard penetration test} & & \text{II. To estimate \textit{in-situ} strength of soft clay} \\ \hline \text{C. Vane shear test} & & \text{III. To identify silt from clay} \\ \hline \text{D. Dilatancy test} & & \text{IV. To estimate bearing capacity for permissible settlement} \\ \hline \end{array}\] Choose the most appropriate match from the options given below:

From a flow-net, which of the following information can be obtained?

A. Rate of flow 
B. Pore water pressure 
C. Exit gradient 
D. Permeability 
Choose the most appropriate answer from the options given below:

If the effective stress strength parameters are $C' = -10 \, \text{kPa}$ and $\phi' = 30^\circ$, the shear strength on a plane, within the saturated soil mass at a point where total normal stress is $300 \, \text{kPa}$ and pore water pressure is $150 \, \text{kPa}$, will be:

To provide safety against piping failure, with a factor of safety as 3, what should be the maximum exit gradient for soil with a specific gravity of 2.5 and porosity of 0.35?

In a constant head permeameter, having cross-sectional area of $20 \, \text{cm}^2$, when the flow was taking place under a hydraulic gradient of $0.5$, the amount of water collected is $1200 \, \text{cm}^3$ in $60 \, \text{sec}$. The permeability of the soil is:

The liquid limit (LL), plastic limit (PL) and shrinkage limit (SL) of a cohesive soil satisfy the relation:
If $f(x) = x^2$, then the second order divided difference for the points $x_0, x_1, x_2$ will be:
In a Binomial distribution, the sum of its mean and variance is $1.8$. If the event was conducted $5$ times, then the probability of two successes is:

The value of the integral $\displaystyle \oint_C \frac{z^3 - 6}{2z - i} \, dz$, where $C: |z| \leq 1$, is:

For the matrix, $A = \begin{bmatrix} -4 & 0 \\ -1.6 & 4 \end{bmatrix}$, the eigenvalues ($\lambda$) and eigenvectors ($X$) respectively are:

The value of $\iint_S \vec{F} \cdot \vec{N} \, ds$ where $\vec{F} = 2x^2y \hat{i} - y^2 \hat{j} + 4xz^2 \hat{k}$ and $S$ is the closed surface of the region in the first octant bounded by the cylinder $y^2 + z^2 = 9$ and the planes $x = 0, x = 2, y = 0, z = 0$, is:

The solution(s) of the ordinary differential equation $y'' + y = 0$, is: 

(A) $\cos x$ 
(B) $\sin x$ 
(C) $1 + \cos x$ 
(D) $1 + \sin x$ 
Choose the most appropriate answer from the options given below: