Recent questions tagged numerical-answers / GO Civil

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201

GATE2017 CE-2-18
For a construction project, the mean and standard deviation of the completion time are $200$ days and $6.1$ days, respectively. Assume normal distribution and use the value of standard normal deviate $z = 1.64$ for the $95 \%$ confidence level. The maximum time required (in days) for the completion of the project would be ________

For a construction project, the mean and standard deviation of the completion time are $200$ days and $6.1$ days, respectively. Assume normal distribution and use the val...

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202

GATE2017 CE-2-20
A two-faced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be ________

A two-faced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the c...

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203

GATE2017 CE-2-21
A sheet pile has an embedment depth of $12$ m in a homogeneous soil stratum. The coefficient of permeability of soil is $10^{-6} m/s$. Difference in the water levels between the two sides of the sheet pile is $4$ m. The flow net is constructed with ... of equipotential lines. The quantity of seepage (in $cm^3/s$ per m, up to one decimal place) under the sheet pile is _________

A sheet pile has an embedment depth of $12$ m in a homogeneous soil stratum. The coefficient of permeability of soil is $10^{-6} m/s$. Difference in the water levels betw...

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204

GATE2017 CE-2-22
The VPI (vertical point of section) is $100$ m away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical is parabolic, the length of the curve (in meters and measured along the horizontal) is _______

The VPI (vertical point of section) is $100$ m away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical is parabolic, the len...

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205

GATE2017 CE-2-23
During a storm event in a certain period, the rainfall intensity is $3.5$ cm/hour and the $\Phi$-index is $1.5$ cm/hour. The intensity of effective rainfall (in cm/hour, up to one decimal place) for this period is ________

During a storm event in a certain period, the rainfall intensity is $3.5$ cm/hour and the $\Phi$-index is $1.5$ cm/hour. The intensity of effective rainfall (in cm/hour, ...

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206

GATE2017 CE-2-24
The infiltration capacity of a soil follows the Horton's exponential model, $f=c_1+c_2e^{-kt}$. During an experiment, the initial infiltration capacity was observed to be $200$ mm/h. After a long time, the infiltration capacity was reduced $25$ mm/h. If the filtration capacity ... $k$ (in $h^{-1}$, up to two decimal places) is ________

The infiltration capacity of a soil follows the Horton’s exponential model, $f=c_1+c_2e^{-kt}$. During an experiment, the initial infiltration capacity was observed to ...

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207

GATE2017 CE-2-25
While aligning a hill road with a ruling gradient $6\%$, a horizontal curve of radius $50 \: m$ is encountered. The grade compensation (in percentage, up to two decimal places) to be provided for this case would be _________

While aligning a hill road with a ruling gradient $6\%$, a horizontal curve of radius $50 \: m$ is encountered. The grade compensation (in percentage, up to two decimal p...

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208

GATE2017 CE-2-38
Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure. The length of the image of the tower A on the photograph is $1.5$ cm and the tower B is $2.0$ cm. The distance of the top tower A ( ... point $p$ of the photograph. If the height of the tower B is $80$ m, the height (in meters) of the tower A is ________

Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.The length of the image of the tower A on t...

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209

GATE2017 CE-2-39
A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that the shaft can resist is _______

A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that t...

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210

GATE2017 CE-2-40
A simply supprted rectangular concrete beam of span $8$ m has to be prestressed with a force of $1600$ ... (in meters, up to two decimal places) of the tendon at the mid-span to balance the external load should be __________

A simply supprted rectangular concrete beam of span $8$ m has to be prestressed with a force of $1600$ kN. The tendon is of parabolic profile having zero eccentricity at ...

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211

GATE2017 CE-2-41
Two plates od $8$ mm thickness each are connected by a fillet weld of $6$ mm thickness as shown in the figure. The permissible stresses in the plate and the weld are $150$ MPa and $110$ MPa, respectively. Assuming the length of the weld shown in the figure to be the effective length, the permissible load $P$ (in kN) is ______

Two plates od $8$ mm thickness each are connected by a fillet weld of $6$ mm thickness as shown in the figure. The permissible stresses in the plate and the weld are $150...

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212

GATE2017 CE-2-42
Consider the portal frame shown in the figure and assume the modulus of elasticity, $E=2.5 \times 10^4$ MPa and the moment of inertia, $I= 8 \times 10^8 \: mm^4$ for all the members of the frame. The rotation (in degrees, up to one decimal place) at the rigid joint Q would be ____________

Consider the portal frame shown in the figure and assume the modulus of elasticity, $E=2.5 \times 10^4$ MPa and the moment of inertia, $I= 8 \times 10^8 \: mm^4$ for all ...

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213

GATE2017 CE-2-43
A $2$ m long, axially loaded mild steel rod of $8$ mm diameter exhibits the load-displacement $(P-\delta)$ behavior as shown in the figure. Assume the yield stress of steel as $250$ MPa. The complementary strain energy (in N-mmm) stored in the bar up to its linear elastic behavior will be _____

A $2$ m long, axially loaded mild steel rod of $8$ mm diameter exhibits the load-displacement $(P-\delta)$ behavior as shown in the figure.Assume the yield stress of stee...

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214

GATE2017 CE-2-44
Consider a square shaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical loads of $P=5000$ kN are applied on this area, one at each corner. The vertical stress increment (in kPa, up to one decimal place) due to these loads according to the Boussinesq’s equation, at a point $5$ m right below M, is _______

Consider a square shaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical loads of $P=5000$ kN are applied on this area, on...

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215

GATE2017 CE-2-45
The figure shows a U-tube having a $5 \: mm \times 5 mm$ square cross-section filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open to atmosphere) If $5 \: cm^3$ of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be ________

The figure shows a U-tube having a $5 \: mm \times 5 mm$ square cross-section filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open...

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216

GATE2017 CE-2-46
A $1$ m wide rectangular channel carries a discharge of $2 \: m^3 /s$. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponding to a particular specific energy, the subcritical depth is twice the supercritical depth. The subcritical depth (in meters, up to two decimal places) is equal to ________

A $1$ m wide rectangular channel carries a discharge of $2 \: m^3 /s$. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that ...

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217

GATE2017 CE-2-47
A catchment is idealized as a $25 \: km \times 25 \: km$ ... . The average precipitation (in mm, up to one decimal place) over the catchment during this month by using the Thiessen polygon method is ___________

A catchment is idealized as a $25 \: km \times 25 \: km$ square. It has five rain gauges, one at each corner and one at the corner, as shown in the figure.During a month,...

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218

GATE2017 CE-2-48
The culturable command area of a canal is $10.000$ ha. The area grows only two crops - rice in the Kharif season and wheat in the Rabi season. The design discharge of the canal is based on the rice requirements, which has an irrigated area of $2500$ ha, ... The maximum permissible irrigated area (in ha) for wheat, with a base period of $120$ days and delta of $50$ cm, is __________

The culturable command area of a canal is $10.000$ ha. The area grows only two crops – rice in the Kharif season and wheat in the Rabi season. The design discharge of t...

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219

GATE2017 CE-2-49
Water is pumped at a steady uniform flow rate of $0.01 \: m^3/s$ through a horizontal smooth circular pipe of $100$ mm diameter. Given that the Reynolds number is $800$ and $g$ is $9.81 \: m/s^2$, the head loss (in meters, up to one decimal place) per km length due to friction would be _______

Water is pumped at a steady uniform flow rate of $0.01 \: m^3/s$ through a horizontal smooth circular pipe of $100$ mm diameter. Given that the Reynolds number is $800$ a...

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220

GATE2017 CE-2-50
The composition of a municipal solid waste sample is given below: ... The difference between the energy content of the waste sample calculated on dry basis and as-discarded basis (in kJ/kg) would be _______

The composition of a municipal solid waste sample is given below:$\begin{array}{|l|c|c|c|} \hline \text{Component} & \text{Percent by} & \text{Moisture Content} & \text{E...

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221

GATE2017 CE-2-51
For a given water sample, the ratio between BOD$_{\text{5-day, 20}^{\circ} C}$ and the ultimate BOD is $0.68$. The value of the reaction rate constant $k$ (on base $e$) (in day$^{-1}$, up to two decimal places) is ________

For a given water sample, the ratio between BOD$_{\text{5-day, 20}^{\circ} C}$ and the ultimate BOD is $0.68$. The value of the reaction rate constant $k$ (on base $e$) (...

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222

GATE2017 CE-2-52
A municipal corporation is required to treat $1000 \: m^3/day$ of water. It is found that an overflow rate of $20 m/day$ will produce a satisfactory removal of the discrete suspended particles at a depth of $3 m$. The diameter (in meters, round to the nearest integer) of a circular settling tank designed for the removal of these particles would be ___________

A municipal corporation is required to treat $1000 \: m^3/day$ of water. It is found that an overflow rate of $20 m/day$ will produce a satisfactory removal of the discre...

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223

GATE2017 CE-2-53
The analysis of a water sample produces the following results: ... $CaCO_3$) of the water sample is _______

The analysis of a water sample produces the following results:$\begin{array}{|c|c|c|} \hline \text{Ion} & \text{milligram per milli-equivalent} & \text{Concentration} \\ ...

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224

GATE2017 CE-2-54
The radii of relative stiffness of the rigid pavements P and Q are denoted by $l_P$ and $l_Q$, respectively. The geometric and material properties of the concrete slab and underlying soil are given below: The ratio (up to one decimal place) of $l_P/l_Q$ is _______

The radii of relative stiffness of the rigid pavements P and Q are denoted by $l_P$ and $l_Q$, respectively. The geometric and material properties of the concrete slab an...

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225

GATE2017 CE-2-55
An observer standing on the deck of a ship just sees the top of a lighthouse. The top of the lighthouse is $40$ m above the sea level and the height of the observer’s eye is $5$ m above the sea level. The distance $9$ in km, up to one decimal place) of teh observer from the lighthouse is __________

An observer standing on the deck of a ship just sees the top of a lighthouse. The top of the lighthouse is $40$ m above the sea level and the height of the observer’s e...

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226

GATE2019 CE-1: 19
For a given loading on a rectangular plain concrete beam with an overall depth of $500 \: mm$, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of $2.5 \times 10^{-4}$. The curvature in the beam cross-section (in $m^{-1}$, round off to $3$ decimal places), is ________

For a given loading on a rectangular plain concrete beam with an overall depth of $500 \: mm$, the compressive strain and tensile strain developed at the extreme fibers a...

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227

GATE2019 CE-1: 20
A completely mixed dilute suspension of sand particles having diameters $0.25, \: 0.35, \: 0.40, \: 0.45$ and $0.50 \: mm$ are filled in a transparent glass column of diameter $10 \: cm$ and height $2.50 \: m$. The suspension is allowed to ... $0.45$ and $0.50 \: mm$ from the suspension is _________

A completely mixed dilute suspension of sand particles having diameters $0.25, \: 0.35, \: 0.40, \: 0.45$ and $0.50 \: mm$ are filled in a transparent glass column of dia...

Arjun

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228

GATE2019 CE-1: 21
The maximum number of vehicles observed in any five minute period during the peak hour is $160$. If the total flow in the peak hour is $1000$ vehicles, the five minute peak hour factor (round off to $2$ decimal places) is _______

The maximum number of vehicles observed in any five minute period during the peak hour is $160$. If the total flow in the peak hour is $1000$ vehicles, the five minute pe...

Arjun

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229

GATE2019 CE-1: 22
A circular duct carrying water gradually contracts from a diameter of $30 \: cm$ to $15 \: cm$. The figure (not drawn to scale) shows the arrangement to differential manometer attached to the duct. When the water flows, the differential manometer shows a ... Assuming frictionless flow, the flow rate (in $m^3/s$, round off to $3$ decimal places) through the duct is ________

A circular duct carrying water gradually contracts from a diameter of $30 \: cm$ to $15 \: cm$. The figure (not drawn to scale) shows the arrangement to differential man...

Arjun

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230

GATE2019 CE-1: 23
The probability that the annual maximum flood discharge will exceed $25000 \: m^3/s$, at least once in next $5$ years is found to be $0.25$. The return period of this flood event (in years, round off to $1$ decimal place is __________

The probability that the annual maximum flood discharge will exceed $25000 \: m^3/s$, at least once in next $5$ years is found to be $0.25$. The return period of this flo...

Arjun

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231

GATE2019 CE-1: 24
A soil has specific gravity of its solids equal to $2.65$. The mass density of water is $1000 \: kg/m^3$. Considering zero air voids and $10 \%$ moisture content of the soil sample, the dry density (in $kg /m^3$, round off to $1$ decimal place) would be ______

A soil has specific gravity of its solids equal to $2.65$. The mass density of water is $1000 \: kg/m^3$. Considering zero air voids and $10 \%$ moisture content of the s...

Arjun

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232

GATE2019 CE-1: 25
A concentrated load of $500 \: kN$ is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of $2 \: m$ and $4 \: m$ along the point of the loading, as per Boussinesq’s theory, would be _____

A concentrated load of $500 \: kN$ is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of $2 \: m$ and $4 \: m$ along the p...

Arjun

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233

GATE2019 CE-1: 36
A $16 \: mm$ thick gusset plate is connected to the $12 \: mm$ thick flange plate of an I-section using fillet welds on both sides as shown in the figure (not drawn to scale). The gusset plate is subjected to a point load of $350 \: kN$ ... $1$ decimal place) on the fillet weld along the vertical plane would be _______

A $16 \: mm$ thick gusset plate is connected to the $12 \: mm$ thick flange plate of an I-section using fillet welds on both sides as shown in the figure (not drawn to sc...

Arjun

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234

GATE2019 CE-1: 37
The network of a small construction project awarded to a contractor is shown in the following figure. The normal duration, crash duration, normal cost, and crash cost of all the activities are shown in the table. The indirect cost incurred by the contractor is ... is targeted for completion in $16$ days, the total cost (in INR) to be incurred by the contractor would be _______

The network of a small construction project awarded to a contractor is shown in the following figure. The normal duration, crash duration, normal cost, and crash cost of ...

Arjun

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235

GATE2019 CE-1: 38
A box measuring $50 \: cm \times 50 \: cm \times 50 \: cm$ is filled to the top with dry coarse aggregate of mass $187.5 \: kg$. The water absorption and specific gravity of the aggregate are $0.5 \%$ and $2.5,$ respectively. The maximum quantity of water (in kg, round off to $2$ decimal places) required to fill the box completely is __________

A box measuring $50 \: cm \times 50 \: cm \times 50 \: cm$ is filled to the top with dry coarse aggregate of mass $187.5 \: kg$. The water absorption and specific gravity...

Arjun

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236

GATE2019 CE-1: 39
A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of $50 \: kN$ is acting at joint in R in the horizontal direction. The flexural rigidity. EI, of each number is $10^6 \: kNm^2$. Under the applied load, the horizontal displacement (in mm, round off to $1$ decimal place) of joint R would be _________

A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of $50 \: kN$ is acting at joint in R in ...

Arjun

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237

GATE2019 CE-1: 40
A sample of air analysed at $0^{\circ} C$ and $1 \: atm$ pressure is reported to contain $0.02 \: ppm$ (parts per million) of $NO_2$. Assume the gram molecular mass of $NO_2$ as $46$ and its volume at $0^{\circ} C$ and $1 \: atm$ pressure as $22.4$ litres per mole. The equivalent $NO_2$ concentration (in microgram per cubic meter, round off to $2$ decimal places) would be ________

A sample of air analysed at $0^{\circ} C$ and $1 \: atm$ pressure is reported to contain $0.02 \: ppm$ (parts per million) of $NO_2$. Assume the gram molecular mass of $N...

Arjun

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238

GATE2019 CE-1: 42
A wastewater is to be disinfected with $35 \: mg/L$ of chlorine to obtain $99 \%$ kill of micro-organisms. The number of micro-organisms remaining alive $(N_t)$ at time $t$, is modelled by $N_t=N_o e^{-kt}$, where $N_o$ is number of micro-microorganisms at $t=0$, ... $1.0 \: m$, respectively, the length of the tank (in $m$, round off to $2$ decimal places) is ________

A wastewater is to be disinfected with $35 \: mg/L$ of chlorine to obtain $99 \%$ kill of micro-organisms. The number of micro-organisms remaining alive $(N_t)$ at time $...

Arjun

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239

GATE2019 CE-1: 43
A staff is placed on a benchmark (BM) of reduced level (RL) $100.000 \: m$ and a theodolite is placed at a horizontal distance of $50 \: m$ from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of ... the same. Taking the height of the instrument as $1.400 \: m$, the RL (in $m$) of the theodolite station is ____________

A staff is placed on a benchmark (BM) of reduced level (RL) $100.000 \: m$ and a theodolite is placed at a horizontal distance of $50 \: m$ from the BM to measure the ver...

Arjun

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240

GATE2019 CE-1: 44
Consider the ordinary differential equation $x^2 \dfrac{d^2y}{dx^2} – 2x \dfrac{dy}{dx} +2y=0$. Given the values of $y(1)=0$ and $y(2)=2$, the value of $y(3)$ (round off to $1$ decimal place), is _________

Consider the ordinary differential equation $x^2 \dfrac{d^2y}{dx^2} – 2x \dfrac{dy}{dx} +2y=0$. Given the values of $y(1)=0$ and $y(2)=2$, the value of $y(3)$ (round of...

Arjun

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Arjun asked Feb 14, 2019