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1481
GATE2018 CE-1: 40
An RCC short column (with lateral ties) of rectangular cross section of $250 \: mm \times 300 \: mm$ is reinforced with four numbers of $16$ mm diameter longitudinal bars. The grades of steel and concrete are $\text{Fe}415$ and $M20$, respectively. Neglect ... ($\text{IS }456:2000$), the axial load carrying capacity of the column (in kN, up to one decimal place), is ______
An RCC short column (with lateral ties) of rectangular cross section of $250 \: mm \times 300 \: mm$ is reinforced with four numbers of $16$ mm diameter longitudinal bars...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Concrete Structures
gate2018-ce-1
numerical-answers
structural-engineering
concrete-structures
design-of-column
+
–
0
votes
0
answers
1482
GATE2018 CE-1: 41
An RCC beam of rectangular cross section has factored shear of $200$ kN at its critical section. Its width $b$ is $250$ mm and effective depth $d$ is $350$ mm. Assume design shear strength $\tau_c$ of concrete as $0.62 \: N/mm^2$ and maximum ... grade steel are used, then the required spacing (in cm, up to one decimal place) as per limit state method will be _____
An RCC beam of rectangular cross section has factored shear of $200$ kN at its critical section. Its width $b$ is $250$ mm and effective depth $d$ is $350$ mm. Assume des...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Concrete Structures
gate2018-ce-1
numerical-answers
structural-engineering
concrete-structures
design-of-beams
+
–
0
votes
2
answers
1483
GATE2018 CE-1: 42
The dimensions of a symmetrical welded I-section are shown in the figure. The plastic section modulus about the weaker axis (in $cm^3$, up to decimal place) is _____
The dimensions of a symmetrical welded I-section are shown in the figure.The plastic section modulus about the weaker axis (in $cm^3$, up to decimal place) is _____
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Steel Structures
gate2018-ce-1
numerical-answers
steel-structures
structural-engineering
concept-of-plastic-analysis
welded-i-section
+
–
0
votes
2
answers
1484
GATE2018 CE-1: 43
Consider the deformable pin-joined truss with loading, geometry and section properties as shown in the figure. Given that $E = 2 \times 10^{11} N/m^2, \: A=10 mm^2, L=1 m$ and $P=1 kN$. The horizontal displacement of Joint C (in mm, up to one decimal place) is _____
Consider the deformable pin-joined truss with loading, geometry and section properties as shown in the figure.Given that $E = 2 \times 10^{11} N/m^2, \: A=10 mm^2, L=1 m$...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Structural Analysis
gate2018-ce-1
numerical-answers
structural-engineering
structural-analysis
analysis-of-trusses
+
–
0
votes
0
answers
1485
GATE2018 CE-1: 44
At a construction site, a contractor plans to make an excavation as shown in the figure. The water level in the adjacent river is at an elevation of $+20.0$ m. Unit weight of water is $10 \: kn/m^3$. The factor of safety (up to two decimal places) against sand boiling for the proposed excavation is ___________
At a construction site, a contractor plans to make an excavation as shown in the figure.The water level in the adjacent river is at an elevation of $+20.0$ m. Unit weight...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Construction Materials and Management
gate2018-ce-1
numerical-answers
construction-materials-and-management
structural-engineering
construction-contracts
+
–
0
votes
1
answer
1486
GATE2018 CE-1: 45
A conventional drained triaxial compression test was conducted on a normally consolidated clay sample under an effective confining pressure of $200$ kPa. The deviator stress at failure was found to be $400$ kPa. An identical specimen of the same clay sample is ... deviator stress at failure is $150$ kPa, the pore pressure developed (in kPa, up to one decimal place) is ________
A conventional drained triaxial compression test was conducted on a normally consolidated clay sample under an effective confining pressure of $200$ kPa. The deviator str...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Soil Mechanics
gate2018-ce-1
numerical-answers
soil-mechanics
geotechnical-engineering
characteristics-of-clay
compression-test
+
–
0
votes
1
answer
1487
GATE2018 CE-1: 46
The void ratio of a soil is $0.55$ at an effective normal stress of $140$ kPa. The compression index of the soil is $0.25$. In order to reduce the void ratio to $0.4$, an increase in the magnitude of effective normal stress (in kPa, up to one decimal place) should be ________
The void ratio of a soil is $0.55$ at an effective normal stress of $140$ kPa. The compression index of the soil is $0.25$. In order to reduce the void ratio to $0.4$, an...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Soil Mechanics
gate2018-ce-1
numerical-answers
soil-mechanics
geotechnical-engineering
void-ratio
+
–
0
votes
0
answers
1488
GATE2018 CE-1: 28
A cylinder of radius $250$ mm and weight, $W=10$ kN is rolled up an obstacle of height $50$ mm by applying a horizontal force $P$ at its centre as shown in the figure. All interfaces are assumed frictionless. The minimum value of P is $4.5$ kN $5.0$ kN $6.0$ kN $7.5$ kN
A cylinder of radius $250$ mm and weight, $W=10$ kN is rolled up an obstacle of height $50$ mm by applying a horizontal force $P$ at its centre as shown in the figure.All...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Engineering Mechanics
gate2018-ce-1
structural-engineering
engineering-mechanics
friction
+
–
0
votes
0
answers
1489
GATE2018 CE-1: 29
A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure. The Young's modulus of the material is $2 \times 10^{11} \: N/m^2$ and the Poisson's ratio is $0.3$. If ... then the strain $\varepsilon_{zz}$ $-120 \times 10^{-6}$ $-60 \times 10^{-6}$ $0.0$ $120 \times 10^{-6}$
A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure.The Young'...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Solid Mechanics
gate2018-ce-1
solid-mechanics
structural-engineering
equilibrium
stress-and-strain-relationship
youngs-modulus
poissons-ratio
+
–
0
votes
0
answers
1490
GATE2018 CE-1: 30
The figure shows a simply supported beam PQ of uniform flexural rigidity EI carrying two moments $M$ and $2M$. The slope at P will be $0$ $\text{ML}/(9\text{EI})$ $\text{ML}/(6\text{EI})$ $\text{ML}/(3\text{EI})$
The figure shows a simply supported beam PQ of uniform flexural rigidity EI carrying two moments $M$ and $2M$.The slope at P will be$0$$\text{ML}/(9\text{EI})$$\text{ML}/...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Structural Analysis
gate2018-ce-1
structural-analysis
structural-engineering
simply-supported-beam
+
–
0
votes
0
answers
1491
GATE2018 CE-1: 31
A $0.5 \: m \times 0.5 \: m$ square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength $c_u=50 \: kPa$ and unit weight, $\gamma = 18.0 \: kN/m^3$. The design capacity of the pile $500$ kN. The adhesion factor $\alpha$ is given as ... pile required for the above design load with a factor of safety of $2.0$ is $5.2$ m $5.8$ m $11.8$ m $12.5$ m
A $0.5 \: m \times 0.5 \: m$ square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength $c_u=50 \: kPa$ and unit weight, $\gamma = ...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Foundation Engineering
gate2018-ce-1
foundation-engineering
geotechnical-engineering
load-capacity-of-piles-in-clay
+
–
0
votes
0
answers
1492
GATE2018 CE-1: 32
A closed tank contains $0.5$ m thick layer of mercury (specific gravity $=13.6$) at the bottom. A $2.0$ m thick layer of water lies above the mercury layer. A $3.0$ m thick layer of oil (specific gravity $=0.6$) lies above the water layer. The space above the oil layer contains air under ... air space is $92.214 \: kN/m^2$ $95.644 \: kN/m^2$ $98.922 \: kN/m^2$ $99.321 \: kN/m^2$
A closed tank contains $0.5$ m thick layer of mercury (specific gravity $=13.6$) at the bottom. A $2.0$ m thick layer of water lies above the mercury layer. A $3.0$ m thi...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Fluid Mechanics
gate2018-ce-1
water-resources-engineering
fluid-mechanics
concept-of-boundary-layer-and-its-growth
+
–
0
votes
1
answer
1493
GATE2018 CE-1: 33
A rapid sand filter comprising a number of filter beds is required to produce $99$ MLD of potable water. Consider water loss during backwashing as $5\%$, rate of filtration as 6.0 m/h and length to width ratio of filter bed as $1.35$. The width of each ... to take care of break-down, repair, and maintenance. The total number of filter beds required will be $19$ $20$ $21$ $22$
A rapid sand filter comprising a number of filter beds is required to produce $99$ MLD of potable water. Consider water loss during backwashing as $5\%$, rate of filtrati...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Water and Waste Water Quality and Treatment
gate2018-ce-1
environmental-engineering
water-and-waste-water-quality-and-treatment
unit-process-and-operations
+
–
–1
votes
3
answers
1494
GATE2018 CE-1: 34
A priority intersection has a single-lane oneway traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single lane road is $20$ kmph and the speed on the two-lane road is $50$ kmph. The perception-reaction time is $2.5$ s, coefficient of longitudinal ... be $50$ m and $20$ m $61$ m and $18$ m $111$ m and $15$ m $122$ m and $36$ m
A priority intersection has a single-lane oneway traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single lane road is $20...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Traffic Engineering
gate2018-ce-1
traffic-engineering
transportation-engineering
traffic-stream
+
–
0
votes
2
answers
1495
GATE2018 CE-1: 35
The following details refer to a closed traverse: Line Consecutive coordinate Northing (m) Southing (m) Easting (m) Westing (m) PQ --- $437$ $173$ --- QR $101$ ---- $558$ ---- RS $419$ --- --- $96$ SP ---- $83$ ---- $634$ The length and direction (whole circle bearing) of ... are $1$ m and $90^{\circ}$ $2$ m and $90^{\circ}$ $1$ m and $270^{\circ}$ $2$ m and $270^{\circ}$
The following details refer to a closed traverse:LineConsecutive coordinateNorthing (m)Southing (m)Easting (m)Westing (m)PQ -$437$$173$ -QR$101$ $558$ RS$419$ $96$SP ...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Geomatics Engineering
gate2018-ce-1
geomatics-engineering
traversing
+
–
0
votes
0
answers
1496
GATE2018 CE-1: 36
A square area (on the surface of the earth) with side $100$ m and uniform height, appears as $1 \: cm^2$ on a vertical aerial photograph. The topographic map shows that a contour of $650$ m passes through the area. If focal length of the camera lens is $150$ mm, the height from which the aerial photograph was taken, is $800$ m $1500$ m $2150$ m $3150$ m
A square area (on the surface of the earth) with side $100$ m and uniform height, appears as $1 \: cm^2$ on a vertical aerial photograph. The topographic map shows that a...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Geomatics Engineering
gate2018-ce-1
geomatics-engineering
photo-grammetry
+
–
0
votes
0
answers
1497
GATE2018 CE-1: 19
In a fillet weld, the direct shear stress and bending tensile stress are $50$ MPa and $150$ MPa, respectively. As per $\text{IS }800:2007$, the equivalent stress (in MPa, up to two decimal places) will be ______
In a fillet weld, the direct shear stress and bending tensile stress are $50$ MPa and $150$ MPa, respectively. As per $\text{IS }800:2007$, the equivalent stress (in MPa,...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Solid Mechanics
gate2018-ce-1
numerical-answers
solid-mechanics
structural-engineering
shear-stress
+
–
0
votes
1
answer
1498
GATE2018 CE-1: 20
In a shrinkage limit test, the volume and mass of a dry soil pat are found to be $50 cm^3$ and $88$ g, respectively. The specific gravity of the soil solids is $2.71$ and the density of water is $1$ g/cc. The shrinkage limit (in $\%$, up to two decimal places is _____
In a shrinkage limit test, the volume and mass of a dry soil pat are found to be $50 cm^3$ and $88$ g, respectively. The specific gravity of the soil solids is $2.71$ and...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Soil Mechanics
gate2018-ce-1
numerical-answers
soil-mechanics
geotechnical-engineering
shrinkage-limit
+
–
0
votes
2
answers
1499
GATE2018 CE-1: 21
A core cutter of $130$ mm height has inner and outer diameters of $100$ mm and $106$ mm, respectively. The area ratio of the core cutter (in $\%$, up to two decimal places) is _____
A core cutter of $130$ mm height has inner and outer diameters of $100$ mm and $106$ mm, respectively. The area ratio of the core cutter (in $\%$, up to two decimal place...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Soil Mechanics
gate2018-ce-1
numerical-answers
geotechnical-engineering
soil-mechanics
core-cutter
+
–
0
votes
1
answer
1500
GATE2018 CE-1: 22
A $1:50$ model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is $1000 \: m^3/s$. The corresponding discharge (in $m^3/s$, up to two decimal places) to be maintained in the model, neglecting variation in acceleration due to gravity, is _______
A $1:50$ model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is $1000 \: m^3/s$. The corresponding discharge (in $m^3/s$, up to...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Irrigation
gate2018-ce-1
numerical-answers
irrigation
water-resources-engineering
spillways
+
–
0
votes
1
answer
1501
GATE2018 CE-1: 23
A $10$ m wide rectangular channel carries a discharge of $20 \: m^3/s$ under critical condition. Using $g=9.81 m/s^2$, the specific energy (in m, up to two decimal places) is _____
A $10$ m wide rectangular channel carries a discharge of $20 \: m^3/s$ under critical condition. Using $g=9.81 m/s^2$, the specific energy (in m, up to two decimal places...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Hydraulics
gate2018-ce-1
numerical-answers
hydraulics
water-resources-engineering
channels-energy
+
–
0
votes
0
answers
1502
GATE2018 CE-1: 24
For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as $C_0=-0.25$ and $C_1=0.55$. The value of the third coefficient $C_2$ would be ____
For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as $C_0=-0.25$ and $C_1=0.55$. The value of the third co...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Hydrology
gate2018-ce-1
numerical-answers
hydrology
water-resources-engineering
flood-estimation-and-routing
muskingum-method
+
–
0
votes
1
answer
1503
GATE2018 CE-1: 25
A city generates $40 \times 10^6$ kg of municipal solid waste (MSW) per year, out of which only $10\%$ is recovered/recycled and the rest goes to landfill. The landfill has a single life of $3$ m height and is compacted to a density of $550 \: kg/m^3$. If $80 \%$ of the landfill is assumed to be MSW, the landfill area (in $m^2$, up to one decimal place) required would be _______
A city generates $40 \times 10^6$ kg of municipal solid waste (MSW) per year, out of which only $10\%$ is recovered/recycled and the rest goes to landfill. The landfill h...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Municipal Solid Wastes
gate2018-ce-1
numerical-answers
municipal-solid-waste
environmental-engineering
engineered-system-for-solid-waste-management
recycle
+
–
0
votes
0
answers
1504
GATE2018 CE-1: 26
The value of the integral $\int_0^{\pi} x \cos^2 x \: dx$ is $\pi^2/8$ $\pi^2/4$ $\pi^2/2$ $\pi^2$
The value of the integral $\int_0^{\pi} x \cos^2 x \: dx$ is$\pi^2/8$$\pi^2/4$$\pi^2/2$$\pi^2$
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Calculus
gate2018-ce-1
calculus
definite-integral
+
–
0
votes
0
answers
1505
GATE2018 CE-1: 27
A cantilever beam of length $2$ m with a square section of side length $0.1$ m is loaded vertically at the free end. The vertical displacement at the free end is $5$ mm. The beam is made of steel with young's modulus of $2.0 \times 10^{11} N/m^2$. The maximum bending stress at the fixed end of the cantilever is $20.0$ MPa $37.5$ MPa $60.0$ MPa $75.0$ MPa
A cantilever beam of length $2$ m with a square section of side length $0.1$ m is loaded vertically at the free end. The vertical displacement at the free end is $5$ mm. ...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Steel Structures
gate2018-ce-1
steel-structures
structural-engineering
bending-stress
+
–
0
votes
0
answers
1506
GATE2018 CE-1: 9
Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is $10 \%$ more. Which one of the following is the correct statement? Section X has less ... Y Sections X and Y have equal flexural strength but different ductility Sections X and Y have equal flexural strength and ductility
Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is $10 \%$ ...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Concrete Structures
gate2018-ce-1
concrete-structures
structural-engineering
concrete-beams
+
–
0
votes
0
answers
1507
GATE2018 CE-1: 10
The percent reduction in the bearing capacity of a strip footing resting on sand under flooding condition (water level at the base of the footing) when compared to the situation where the water level is at a depth much greater than the width of footing, is approximately $0$ $25$ $50$ $100$
The percent reduction in the bearing capacity of a strip footing resting on sand under flooding condition (water level at the base of the footing) when compared to the si...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Foundation Engineering
gate2018-ce-1
foundation-engineering
geotechnical-engineering
bearing-capacity
+
–
0
votes
0
answers
1508
GATE2018 CE-1: 11
The width of a square footing and the diameter of a circular footing are equal. If both the footings are placed on the surface of sandy soil, the ratio of the ultimate bearing capacity of circular footing to that of square footing will be $4/3$ $1$ $3/4$ $2/3$
The width of a square footing and the diameter of a circular footing are equal. If both the footings are placed on the surface of sandy soil, the ratio of the ultimate be...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Foundation Engineering
gate2018-ce-1
foundation-engineering
geotechnical-engineering
bearing-capacity
+
–
0
votes
0
answers
1509
GATE2018 CE-1: 12
Bernoulli's equation is applicable for viscous and compressible fluid flow inviscid and compressible fluid flow inviscid and incompressible fluid flow viscous and incompressible fluid flow
Bernoulli's equation is applicable forviscous and compressible fluid flowinviscid and compressible fluid flowinviscid and incompressible fluid flowviscous and incompressi...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Fluid Mechanics
gate2018-ce-1
fluid-mechanics
water-resources-engineering
bernoulli's-equation
+
–
0
votes
0
answers
1510
GATE2018 CE-1: 13
There are $20,000$ vehicles operating in a city with an average annual travel of $12,000$ km per vehicle. The NOx emission rate is $2.0$ g/km per vehicle. The total annual release of NOx will be $4,80,000$ kg $4,800$ kg $480$ kg $48$ kg
There are $20,000$ vehicles operating in a city with an average annual travel of $12,000$ km per vehicle. The NOx emission rate is $2.0$ g/km per vehicle. The total annua...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Traffic Engineering
gate2018-ce-1
transportation-engineering
traffic-engineering
statistical-analysis-of-traffic-data
+
–
0
votes
1
answer
1511
GATE2018 CE-1: 14
A bitumen sample has been graded as $\text{VG}30$ as per $\text{IS:}73-2013$. The $'30'$ in the grade means that penetration of bitumen at $25^{\circ}C$ is between $20$ and $40$ viscosity of bitumen at $60^{\circ}C$ is between $2400$ and $3600$ ... of bitumen at $27^{\circ}C$ is more than $30$ cm elastic recovery of bitumen at $15^{\circ}C$ is more than $30 \%$
A bitumen sample has been graded as $\text{VG}30$ as per $\text{IS:}73-2013$. The $'30'$ in the grade means thatpenetration of bitumen at $25^{\circ}C$ is between $20$ an...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Highway Pavements
gate2018-ce-1
transportation-engineering
highway-pavements
desirable-properties-of-bitumen
tests-on-bitumen
+
–
0
votes
0
answers
1512
GATE2018 CE-1: 15
The speed-density relationship for a road section is shown in the figure. The shape of the flow-density relationship is piecewise linear parabolic initially linear than parabolic initially parabolic than linear
The speed-density relationship for a road section is shown in the figure.The shape of the flow-density relationship ispiecewise linearparabolicinitially linear than parab...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Transportation Infrastructure
gate2018-ce-1
transportation-engineering
speed-density-relationship
transportation-infrastructure
+
–
0
votes
0
answers
1513
GATE2018 CE-1: 16
A well-designed signalized intersection is one in which the crossing conflicts are increased total delay is minimized cycle time is equal to the sum of red and green times in all phases cycle time is equal to the sum of red and yellow times in all phases
A well-designed signalized intersection is one in which thecrossing conflicts are increasedtotal delay is minimizedcycle time is equal to the sum of red and green times i...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Traffic Engineering
gate2018-ce-1
traffic-engineering
transportation-engineering
signal-design
+
–
0
votes
0
answers
1514
GATE2018 CE-1: 17
A flow field is given by $u=y^2, \: v=-xy, \: w=0$. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0, -1, 1)$ is ____
A flow field is given by $u=y^2, \: v=-xy, \: w=0$. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Fluid Mechanics
gate2018-ce-1
numerical-answers
water-resources-engineering
fluid-mechanics
flow-in-pipes
+
–
0
votes
0
answers
1515
GATE2018 CE-1: 18
The frequency distribution of the compressive strength of $20$ ... $20$) with compressive strength less than $\mu - 3 \sigma$ is ____
The frequency distribution of the compressive strength of $20$ concrete cube specimen is given in the table.$$\begin{array}{|c|c|} \hline f \text{ (MPa)} & \text{Number o...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Concrete Structures
gate2018-ce-1
numerical-answers
concrete-beam
concrete-structures
structural-engineering
+
–
0
votes
1
answer
1516
GATE2018 CE-1: 1
Which one of the following matrices is singular? $\begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix} \\$ $\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix} \\$ $\begin{bmatrix} 2 & 4\\ 3 & 6 \end{bmatrix} \\$ $\begin{bmatrix} 4 & 3\\ 6 & 2 \end{bmatrix}$
Which one of the following matrices is singular?$\begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix} \\$$\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix} \\$$\begin{bmatrix} 2 & 4\\...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Linear Algebra
gate2018-ce-1
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
1517
GATE2018 CE-1: 2
For the given orthogonal matrix Q, $Q = \begin{bmatrix} 3/7 & 2/7 & 6/7 \\ -6/7 & 3/7 & 2/7 \\ 2/7 & 6/7 & -3/7 \end{bmatrix}$ ... $\begin{bmatrix} -3/7 & 6/7 & -2/7 \\ -2/7 & -3/7 & -6/7 \\ -6/7 & -2/7 & 3/7 \end{bmatrix}$
For the given orthogonal matrix Q, $Q = \begin{bmatrix} 3/7 & 2/7 & 6/7 \\ -6/7 & 3/7 & 2/7 \\ 2/7 & 6/7 & -3/7 \end{bmatrix}$ The inverse is$\begin{bmatrix} 3/7 & 2/7 &...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Linear Algebra
gate2018-ce-1
linear-algebra
matrices
orthogonal-matrix
inverse-of-matrix
+
–
0
votes
0
answers
1518
GATE2018 CE-1: 3
At the point $x= 0$, the function $f(x) = x^3$ has local maximum local minimum both local maximum and minimum neither local maximum nor local minimum
At the point $x= 0$, the function $f(x) = x^3$ haslocal maximumlocal minimumboth local maximum and minimumneither local maximum nor local minimum
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Calculus
gate2018-ce-1
calculus
maxima-minima
+
–
0
votes
1
answer
1519
GATE2018 CE-1: 4
A column of height $h$ with a rectangular cross-section of size $a \times 2a$ has a buckling load of $P$. If the cross-section is changed to $0.5 a \times 3a$ and its height changed to 1.5$h$, the buckling load of the redesigned column will be $P/12$ $P/4$ $P/2$ $3P/4$
A column of height $h$ with a rectangular cross-section of size $a \times 2a$ has a buckling load of $P$. If the cross-section is changed to $0.5 a \times 3a$ and its hei...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Solid Mechanics
gate2018-ce-1
solid-mechanics
structural-engineering
buckling-of-column
+
–
0
votes
0
answers
1520
GATE2018 CE-1: 5
A steel column of ISHB $350$ @$72.4$ kg/m is subjected to a factored axial compressive load of $2000$ kN. The load is transferred to a concrete pedestal of grade $M20$ through a square base plate. Consider bearing strength of concrete as $0.45f_{ck}$, where $f_{ck}$ ... plate and steel column, the length of a side of the base plate to be provided is $39$ cm $42$ cm $45$ cm $48$ cm
A steel column of ISHB $350$ @$72.4$ kg/m is subjected to a factored axial compressive load of $2000$ kN. The load is transferred to a concrete pedestal of grade $M20$ th...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Steel Structures
gate2018-ce-1
steel-structures
structural-engineering
plate-load-test
base-column-connections
+
–
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