Recent questions tagged gate2015-ce-1 / GO Civil

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41

GATE2015-1-29
Consider the following complex function: $f(z) = \frac{9}{(z-1)(z+2)^2}$ Which of the following is one of the residues of the above function? $-1$ $9/16$ $2$ $9$

Consider the following complex function:$$f(z) = \frac{9}{(z-1)(z+2)^2}$$Which of the following is one of the residues of the above function?$-1$$9/16$$2$$9$

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42

GATE2015-1-30
The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.

The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.

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43

GATE2015-1-31
The composition of an air-entrained concrete is given below: ... gravity of OPC, sand and coarse aggregate to be $3.14$, $2.67$, and $2.74$, respectively. The air content is ______ $liters/m^3$.

The composition of an air-entrained concrete is given below:$\begin{array}{lcr} \text{Water} & : & 184 \: kg/m^3 \\ \text{Ordinary Portland Cement (OPC)} & : & 368 \: kg/...

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44

GATE2015-1-32
The bracket plate connected to a column flange transmits a load of $100$ kN as shown in the following figure. The maximum force for which the bolts should be designed is ______ kN.

The bracket plate connected to a column flange transmits a load of $100$ kN as shown in the following figure. The maximum force for which the bolts should be designed is ...

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45

GATE2015-1-35
A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, $E=2 \times 10^5$ MPa. When subjected to a load $P=30 \pi$ kN, the deflection at point $A$ is ______ mm.

A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both...

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46

GATE2015-1-36
Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the spring is _________.

Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the ...

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47

GATE2015-1-37
For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section area and $E$ is the modulus of elasticity.

For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section ...

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48

GATE2015-1-38
An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is $5000 \: m^3$ and the target dry unit weight is $16.2 \: kN/m^3$. Three nearby sites (see figure below) have been identified from where the required soil can be transported to ... solution (Use unit weight of water $= 10 \: kN/m^3$). Site $X$ Site $Y$ Site $Z$ Any of the sites

An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is $5000 \: m^3$ and the target dry unit weight is $16.2 \: kN/m^3...

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49

GATE2015-1-39
A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter $3$ m and depth of embedment $1$ ... the load dispersion pattern as $2V:1H$. The expected settlement of the tank due to primary consolidation of the clay layer is _________ mm.

A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter $3$ m and depth of embedment $1$ m has been designed to su...

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50

GATE2015-1-40
A $20$ m thick clay layer is sandwiched between a silty sand layer and a gravelly sand layer. The layer experiences $30$ mm settlement in $2$ ... of consolidation of the layer is $0.003 \: cm^2/s$, the deposit will experience a total of $50$ mm settlement in the next _____ years.

A $20$ m thick clay layer is sandwiched between a silty sand layer and a gravelly sand layer. The layer experiences $30$ mm settlement in $2$ years.Given:$T_v = \begin{ca...

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51

GATE2015-1-41
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 the permeability of the clay layer and one-tenth of the permeability of ... third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is _________.

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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52

GATE2015-1-42
A square footing $(2\:m \times 2\:m)$ is subjected to an inclined point load, $P$ as shown in the figure below. The water table is located well below the base of the footing. Considering one-way eccentricity, the $\textit{net safe}$ load carrying capacity of the footing for a factor ... : $F_{qd} = F_{\gamma d} = 1.113$; Inclination factors: $F_{qi} = 0.444, \: F_{\gamma i}=0.02$

A square footing $(2\:m \times 2\:m)$ is subjected to an inclined point load, $P$ as shown in the figure below. The water table is located well below the base of the foot...

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53

GATE2015-1-43
Two reservoirs are connected through a $930$ m long, $0.3$ m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient $=0.5$) and the valve is half-open (loss coefficient $=5.5$). The head difference between the two reservoirs is $20$ m. ... $0.03$ and $g=10\:m/s^2$. The discharge in the pipe accounting for all minor and major losses is ___________ $m^3/s$.

Two reservoirs are connected through a $930$ m long, $0.3$ m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient $=0.5$) and the valve is ...

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54

GATE2015-1-44
A hydraulic jump is formed in a $2$ m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are $0.8$ , and $1$ m/s, respectively. The pre-jump velocity is ________ m/s. (use $g=10\:m/s^2$)

A hydraulic jump is formed in a $2$ m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are $0.8$ , and $1$ m/s, respectivel...

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55

GATE2015-1-45
A short reach of a $2$ m wide rectangular open channel has its bed level rising in the direction of flow at a slope of $1$ in $10000$. It carries a discharge of $4 m^3/s$ and its Manning's roughness coefficient is $0.01$. The flow in this reach is gradually varying. ... $dy/dx$, at this section is _______ (use $g=10\:m/s^2$).

A short reach of a $2$ m wide rectangular open channel has its bed level rising in the direction of flow at a slope of $1$ in $10000$. It carries a discharge of $4 m^3/s$...

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56

GATE2015-1-46
The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosity, $\mu$. Which of the following options represents the non-dimensional parameters which could be used to analyze this ... $\dfrac{_{\rho}VD}{\mu} \\$ $\dfrac{F_D}{_{\rho}V^3D^3}$ and $\dfrac{\mu}{_{\rho}VD}$

The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosi...

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57

GATE2015-1-47
In a catchment, there are four rain-gauge stations, $P, Q, R$, and $S$. Normal annual precipitation values at these stations are $780$ mm, $850$ mm, $920$ mm, and $980$ mm, respectively. In the year $2013$, stations $Q, R$, and $S$, were operative ... the year $2013$ were $930$ mm and $1010$ mm, respectively; what was the observed precipitation (in mm) at station $S$ for that year?

In a catchment, there are four rain-gauge stations, $P, Q, R$, and $S$. Normal annual precipitation values at these stations are $780$ mm, $850$ mm, $920$ mm, and $980$ m...

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58

GATE2015-1-48
The $4$-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S - curve (in $m^3/s$ ...

The $4$-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S – curve (in $m^3/s$) derived from this hydrograph?$$...

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59

GATE2015-1-49
The concentration of Sulfur Dioxide $(SO_2)$ in ambient atmosphere was measured as $30 \: \mu g /m^3$. Under the same conditions, the above $SO_2$ concentration expressed in ppm is _________. Given: $P/(RT) = 41.6 \: mol/m^3$; where, $P=$ Pressure; $T=$ Temperature; $R=$ universal gas constant; Molecular weight of $SO_2 =64$.

The concentration of Sulfur Dioxide $(SO_2)$ in ambient atmosphere was measured as $30 \: \mu g /m^3$. Under the same conditions, the above $SO_2$ concentration expressed...

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60

GATE2015-1-50
Consider a primary sedimentation tank (PST) in a water treatment plant with Surface Overflow Rate (SOR) of $40\:m^3/m^2/d$. The diameter of the spherical particle which will have $90$ percent theoretical removal efficiency in this tank is ______ $\mu m$. Assume that settling velocity of the ... $g=9.81 \: m/s^2$; Kinematic viscosity of water $(v) = 1.10 \times 10^{-6} m^2/s$.

Consider a primary sedimentation tank (PST) in a water treatment plant with Surface Overflow Rate (SOR) of $40\:m^3/m^2/d$. The diameter of the spherical particle which w...

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61

GATE2015-1-51
The acceleration-time relationship for a vehicle subjected to non-uniform acceleration is, $\dfrac{dv}{dt} = (\alpha\: - \beta v_0) e^{ - \beta t}$ where, $v$ is the speed in m/s, $t$ is the time in s, $\alpha$ and $\beta$ are parameters, and $v_0$ is the initial speed ... $\dfrac{dv}{dt}=1.3 m/s^2$ at $t=3$s, the distance (in m) travelled by the vehicle in $35$ s is ________

The acceleration-time relationship for a vehicle subjected to non-uniform acceleration is,$$\dfrac{dv}{dt} = (\alpha\: – \beta v_0) e^{ - \beta t}$$where, $v$ is the sp...

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62

GATE2015-1-52
On a circular curve, the rate of superelevation is $e$. While negotiating the curve a vehicle comes to a stop. It is seen that the stopped vehicle does not slide inwards (in the radial direction). The coefficient of side friction is $f$. Which of the following is true: $e \leq f$ $f < e < 2f$ $e \geq 2f$ none of the above

On a circular curve, the rate of superelevation is $e$. While negotiating the curve a vehicle comes to a stop. It is seen that the stopped vehicle does not slide inwards ...

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63

GATE2015-1-53
A sign is required to be put up asking drivers to slow down to $30$ km/h before entering Zone $Y$ (see figure). On this road, vehicles require $174$ m to slow down to $30$ km/h (the distance of $174$ m includes the distance travelled during the perception- ... even a $6/9$ vision driver can slow down to $30$ km/h before entering the zone. The minimum value of $x$ is ________ m.

A sign is required to be put up asking drivers to slow down to $30$ km/h before entering Zone $Y$ (see figure). On this road, vehicles require $174$ m to slow down to $30...

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64

GATE2015-1-54
In a survey work, three independent angles $X, Y$ and $Z$ were observed with weights $W_X, W_Y, W_Z$,respectively. The weight of the sum of angles $X, Y$ and $Z$ is given by: $1/ \big( \dfrac{1}{W_X} + \dfrac{1}{W_Y} + \dfrac{1}{W_Z} \big) \\$ $\big( \dfrac{1}{W_X} + \dfrac{1}{W_Y} + \dfrac{1}{W_Z} \big) \\$ $W_X +W_Y+W_Z \\$ $W_X^2 +W_Y^2+W_Z^2$

In a survey work, three independent angles $X, Y$ and $Z$ were observed with weights $W_X, W_Y, W_Z$,respectively. The weight of the sum of angles $X, Y$ and $Z$ is given...

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65

GATE2015-1-55
In a region with magnetic declination of $2^{\circ}E$, the magnetic Fore bearing (FB) of a line $AB$ was measured as $N79^{\circ}50'E$. There was local attraction at $A$. To determine the correct magnetic bearing of the line, a point $O$ was selected at which there was no local ... true $FB$ of line $AB?$ $N81^{\circ}50'E$ $N82^{\circ}10'E$ $N84^{\circ}10'E$ $N77^{\circ}50'E$

In a region with magnetic declination of $2^{\circ}E$, the magnetic Fore bearing (FB) of a line $AB$ was measured as $N79^{\circ}50’E$. There was local attraction at $A...

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