Recent questions tagged gatecivil-2021-set1 / GO Civil

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41

GATE Civil 2021 Set 1 | Question: 29
A wedge $\text{M}$ and a block $\text{N}$ are subjected to forces $\text{P}$ and $\text{Q}$ as shown in the figure. If force $\text{P}$ is sufficiently large, then the block $\text{N}$ can be raised. The weights of the wedge and the block are negligible ... $\alpha$' (rounded off to one decimal place) is $0.6$ $0.5$ $2.0$ $0.9$

A wedge $\text{M}$ and a block $\text{N}$ are subjected to forces $\text{P}$ and $\text{Q}$ as shown in the figure. If force $\text{P}$ is sufficiently large, then the bl...

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42

GATE Civil 2021 Set 1 | Question: 30
Contractor $\text{X}$ is developing his bidding strategy against Contractor $\text{Y}$. The ratio of $\text{Y's}$ bid price to $\text{X's}$ cost for the $30$ previous bids in which Contractor $\text{X}$ has competed against Contractor $\text{Y}$ is given in the ... is $0\%$ more than $0\%$ but less than $50\%$ more than $50\%$ but less than $100\%$ $100\%$

Contractor $\text{X}$ is developing his bidding strategy against Contractor $\text{Y}$. The ratio of $\text{Y’s}$ bid price to $\text{X’s}$ cost for the $30$ previous...

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43

GATE Civil 2021 Set 1 | Question: 31
Based on drained triaxial shear tests on sands and clays, the representative variations of volumetric strain $\left ( \Delta V/V \right )$ with the shear strain $\left ( \gamma \right )$ is shown in the figure. Choose ... clay Curve $P$ represents loose sand and normally consolidated clay, while Curve $Q$ represents dense sand and overconsolidated clay

Based on drained triaxial shear tests on sands and clays, the representative variations of volumetric strain $\left ( \Delta V/V \right )$ with the shear strain $\left ( ...

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44

GATE Civil 2021 Set 1 | Question: 34
Ammonia nitrogen is present in a given wastewater sample as the ammonium ion $\text({NH}_{4}$^{+})$ and ammonia $\text({NH}_{3})$. If $ ... _{3}$ will be found in equal measures At $\text{pH}$ $7.0$, $\text{NH}_{4}$^{+}$ will be predominant

Ammonia nitrogen is present in a given wastewater sample as the ammonium ion $\text({NH}_{4}$$^{+})$ and ammonia $\text({NH}_{3})$. If $\text{pH}$ is the only deciding fa...

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45

GATE Civil 2021 Set 1 | Question: 35
On a road, the speed – density relationship of a traffic stream is given by $u=70-0.7k$ (where speed, $u$, is in $\text{km/h}$ and density, $k$ is in $\text{veh/km}$). At the capacity condition, the average time headway will be $0.5 \:s$ $1.0 \:s$ $1.6 \:s$ $2.1 \:s$

On a road, the speed – density relationship of a traffic stream is given by $u=70-0.7k$ (where speed, $u$, is in $\text{km/h}$ and density, $k$ is in $\text{veh/km}$). ...

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46

GATE Civil 2021 Set 1 | Question: 36
The value of abscissa $(x)$ and ordinate $(y)$ ... $1/3^\text{rd}$ rule, the area under the curve $\textit{(round off to two decimal places)}$ is __________________

The value of abscissa $(x)$ and ordinate $(y)$ of a curve are as follows:$$\begin{array}{|cl|cI|}\hline&x & y\\ \hline & \text{$2.0$} & \text{$5.00$} \\ \hline & \text{$2...

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47

GATE Civil 2021 Set 1 | Question: 37
Vehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is $2$ vehicle per minute. The probability ($\textit{round off to two decimal places}$) that at least $2$ vehicles will arrive in any given $1$-minute interval is _______________________

Vehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is $2$ vehicle per minute. The probability ($\textit{round...

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48

GATE Civil 2021 Set 1 | Question: 38
Refer the truss as shown in the figure (not to scale). If load, $F=10\sqrt{3}\text{ kN}$, moment of inertia, $I=8.33\times 10^{6}\text{ mm}^4$, area of cross-section, $A=10^{4}\text{ mm}^2$, and length, $L=2\text{ m}$ ... members of the truss, the compressive stress (in $\text{kN/m}^2, \textit{in integer}$) carried by the member $\text{Q-R}$ is _______________

Refer the truss as shown in the figure (not to scale).If load, $F=10\sqrt{3}\text{ kN}$, moment of inertia, $I=8.33\times 10^{6}\text{ mm}^4$, area of cross-section, $A=1...

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49

GATE Civil 2021 Set 1 | Question: 39
A prismatic cantilever prestressed concrete beam of span length, $L = 1.5 \text{ m}$ has one straight tendon placed in the cross-section as shown in the following figure (not to scale). The total prestressing force of $50 \text{ kN}$ in the ... $\text{Mpa}, \textit{in integer}$) experienced at point $Q$' will be _____________

A prismatic cantilever prestressed concrete beam of span length, $L = 1.5 \text{ m}$ has one straight tendon placed in the cross-section as shown in the following figure ...

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50

GATE Civil 2021 Set 1 | Question: 40
A column is subjected to a total load $(P)$ of $60\text{ kN}$ supported through a bracket connection, as shown in the figure (not to scale). The resultant force in bolt $R$ (in $\text{kN}, \textit{round off to one decimal place}$) is _____________________________

A column is subjected to a total load $(P)$ of $60\text{ kN}$ supported through a bracket connection, as shown in the figure (not to scale).The resultant force in bolt $R...

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51

GATE Civil 2021 Set 1 | Question: 41
Employ stiffness matrix approach for the simply supported beam as shown in the figure to calculate unknown displacements/rotations. Take length, $L=8\text{ m}$; modulus of elasticity, $E=3\times 10^{4} \text{N/mm}^{2}$ ... (in $\text{mm}, \textit{round off to integer}$) under $\text{P=100 kN}$ in downward direction will be _________________

Employ stiffness matrix approach for the simply supported beam as shown in the figure to calculate unknown displacements/rotations. Take length, $L=8\text{ m}$; modulus o...

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52

GATE Civil 2021 Set 1 | Question: 42
A square plate $\text{O-P-Q-R}$ of a linear elastic material with sides $1.0\text{ m}$ is loaded in a state of plane stress. Under a given stress condition, the plate deforms to a new configuration $O-{P}'-{Q}'-{R}'$ as shown ... $\text{O-P-Q-R}$ (in $\text{mm}, \textit{round off to one decimal place}$) is __________________

A square plate $\text{O-P-Q-R}$ of a linear elastic material with sides $1.0\text{ m}$ is loaded in a state of plane stress. Under a given stress condition, the plate def...

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53

GATE Civil 2021 Set 1 | Question: 43
A small project has $12$ activities - $\text{N, P, Q, R, S, T, U, V, W, X, Y,}$ and $\text{Z}$ ... $\text{ V }$ (in weeks, in integer) is __________________

A small project has $12$ activities – $\text{N, P, Q, R, S, T, U, V, W, X, Y,}$ and $\text{Z}$. The relationship among these activities and the duration of these activi...

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54

GATE Civil 2021 Set 1 | Question: 44
The soil profile at a construction site is shown in the figure (not to scale). Ground water table $\text{(GWT)}$ is at $5 \text{ m}$ below the ground level at present. An old well data shows that the ground water table was as ... ratio $\text{(OCR)} (\textit{round off to two decimal places}$) at the mid-point of the clay layer is _____________________

The soil profile at a construction site is shown in the figure (not to scale). Ground water table $\text{(GWT)}$ is at $5 \text{ m}$ below the ground level at present. An...

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55

GATE Civil 2021 Set 1 | Question: 45
A retaining wall of height $10 \text{ m}$ with clay backfill is shown in the figure (not to scale). Weight of the retaining wall is $\text{5000 kN per m}$ acting at $3.3 \text{ m}$ from the toe ... safety (round off to two decimal places) against sliding failure of the retaining wall after ignoring the passive earth pressure will be ___________________________

A retaining wall of height $10 \text{ m}$ with clay backfill is shown in the figure (not to scale). Weight of the retaining wall is $\text{5000 kN per m}$ acting at $3.3 ...

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56

GATE Civil 2021 Set 1 | Question: 46
A combined trapezoidal footing of length $L$ supports two identical square columns $ (P_1$ and $P_{2})$ of size $0.5 \text{ m} \times 0.5\text{ m}$, as shown in the figure. The columns $P_{1}$ and $P_{2}$ carry loads of ... footing is uniform, the length of the combined footing $L$ (in $\text{m}, \textit{round off to two decimal places}$) is ____________________

A combined trapezoidal footing of length $L$ supports two identical square columns $ (P_1$ and $P_{2})$ of size $0.5 \text{ m} \times 0.5\text{ m}$, as shown in the figu...

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57

GATE Civil 2021 Set 1 | Question: 47
An unsupported slope of height $\text{15 m}$ is shown in the figure (not to scale), in which the slope face makes an angle $50^{\circ}$ with the horizontal. The slope material comprises purely cohesive soil having undrained ... of the safety against the failure of slope under undrained condition ($\textit{round off to two decimal places}$) is _____________

An unsupported slope of height $\text{15 m}$ is shown in the figure (not to scale), in which the slope face makes an angle $50^{\circ}$ with the horizontal. The slope mat...

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58

GATE Civil 2021 Set 1 | Question: 48
An unlined canal under regime conditions along with a silt factor of $1$ has a width of flow $71.25 \;\text{m}$. Assuming the unlined canal as a wide channel, the corresponding average depth of flow (in $\text{m}$, $\textit{round off to two decimal places}$) in the canal will be __________________

An unlined canal under regime conditions along with a silt factor of $1$ has a width of flow $71.25 \;\text{m}$. Assuming the unlined canal as a wide channel, the corresp...

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59

GATE Civil 2021 Set 1 | Question: 49
A cylinder $\text{(2.0 m diameter, 3.0 m long and 25 kN weight)}$ is acted upon by water on one side and oil $\text{(specific gravity=0.8)}$ on other side as shown in the figure. The absolute ratio of the net magnitude of vertical forces to the net magnitude of horizontal forces ($\textit{round off to two decimal places}$) is _____________________

A cylinder $\text{(2.0 m diameter, 3.0 m long and 25 kN weight)}$ is acted upon by water on one side and oil $\text{(specific gravity=0.8)}$ on other side as shown in the...

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60

GATE Civil 2021 Set 1 | Question: 50
A tube-well of $20\text{ cm}$ diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of $30 \text{ m}$ ... $\text{m/day}, \textit{round off to integer}$) is ________________

A tube-well of $20\text{ cm}$ diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of $30 \tex...

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61

GATE Civil 2021 Set 1 | Question: 51
A baghouse filter has to treat $12\text{ m}^3/\text{s}$ of waste gas continuously. The baghouse is to be divided into $5$ ... $5 \text{ m}$ in length. The total number of bags ($\textit{in integer}$) required in the baghouse is __________________

A baghouse filter has to treat $12\text{ m}^3/\text{s}$ of waste gas continuously. The baghouse is to be divided into $5$ sections of equal cloth area such that one secti...

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62

GATE Civil 2021 Set 1 | Question: 52
A secondary clarifier handles a total flow of $9600 \text{ m}^3\text{/d}$ from the aeration tank of a conventional activated-sludge treatment system. The concentration of solids in the flow from the aeration tank is $3000\text{ mg/L}$. ... . The surface area of the designed clarifier for thickening (in $\text{m}^2$, $\textit{in integer}$) is ___________________

A secondary clarifier handles a total flow of $9600 \text{ m}^3\text{/d}$ from the aeration tank of a conventional activated-sludge treatment system. The concentration of...

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63

GATE Civil 2021 Set 1 | Question: 53
Spot speeds of vehicles observed at a point on a highway are $\text{40, 55, 60, 65 and 80 km/h}$. The space-mean speed (in $\text{km/h}$, $\textit{round off to two decimal places}$) of the observed vehicles is ___________________

Spot speeds of vehicles observed at a point on a highway are $\text{40, 55, 60, 65 and 80 km/h}$. The space-mean speed (in $\text{km/h}$, $\textit{round off to two decima...

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64

GATE Civil 2021 Set 1 | Question: 54
The longitudinal section of a runway provides the following data: $\begin{array}{|lc|cI|}\hline &\textbf{End-to-end runway $\textbf{(m)}$} & \textbf{Gradient $ ... $\%$, $\textit{round off to two decimal places}$) is ________________

The longitudinal section of a runway provides the following data:$$\begin{array}{|lc|cI|}\hline&\textbf{End-to-end runway $\textbf{(m)}$} & \textbf{Gradient $(\%)$} \\ \...

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GATE Civil 2021 Set 1 | Question: 55
Traversing is carried out for a closed traverse $\text{PQRS}$. The internal angles at vertices $\text{P, Q, R and S}$ are measured as $92^{\circ},68^{\circ},123^{\circ}$ and $77^{\circ}$, respectively. If fore bearing of line $\text{PQ}$ is $27^{\circ}$, fore bearing of line $\text{RS}$ (in degrees, in integer) is ___________________

Traversing is carried out for a closed traverse $\text{PQRS}$. The internal angles at vertices $\text{P, Q, R and S}$ are measured as $92^{\circ},68^{\circ},123^{\circ}$ ...

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