Civil Engineering Gate 2018 Set-1 Questions with Answer

Ques 40 GATE 2018 SET-1

The figure shows a simply supported beam PQ of uniform flexural rigidity El carrying two moments M and 2M.

Ques 41 GATE 2018 SET-1

A 0.5 m × 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, γ = 18.0 kN/m³. The design capacity of the pile is 500 kN. The adhesion factor α is given as 0.75.
The length of the pile required for the above design load with a factor of safety of 2.0 is _______.

Ques 42 GATE 2018 SET-1

A closed tank contains a 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 pressure. The gauge pressure at the bottom of the tank is 196.2 kN/m². The density of water is 1000 kg/m³ and the acceleration due to gravity is 9.81 m/s².
The value of pressure in the air space is _______.

Ques 43 GATE 2018 SET-1

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 filter bed is to be kept equal to 5.2 m. One additional filter bed is to be provided to take care of break-down, repair and maintenance. The total number of filter beds required will be

Ques 44 GATE 2018 SET-1

A priority intersection has a single-lane one-way 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 friction is 0.38, and acceleration due to gravity is 9.81 m/s². A clear sight triangle has to be ensured at this intersection.
The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will be _______.

Ques 45 GATE 2018 SET-1

The following details refer to a closed traverse:

Ques 46 GATE 2018 SET-1

A square area (on the surface of the earth) with side 100 m and uniform height, appears as 1 cm2 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

Ques 47 GATE 2018 SET-1

The solution at x = 1, t = 1 of the partial differential equation ∂²u/∂x² = 25 ∂²u/∂t² subject to initial conditions of u(0) = 3x and ∂u/∂t(0) = 3 is _______.

Ques 48 GATE 2018 SET-1

The solution (up to three decimal places) at x = 1 of the differential equation d²y/dx² + 2 dy/dx + y = 0 subject to boundary conditions y(0) = 1 and dy/dx(0) = -1 is _______.

Ques 49 GATE 2018 SET-1

Variation of water depth (y) in a gradually varied open channel flow is given by the first order differential equation

Ques 50 GATE 2018 SET-1

An RCC short column (with lateral ties) of rectangular cross section of 250 mm × 300 mm is reinforced with four numbers of 16 mm diameter longitudinal bars. The grades of steel and concrete are Fe415 and M20, respectively. Neglect eccentricity effect. Considering limit state of collapse in compression (IS 456: 2000), the axial load carrying capacity of the column (in kN, up to one decimal place), is _______.

Ques 51 GATE 2018 SET-1

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 τ_c of concrete as 0.62 N/mm² and maximum allowable shear stress τ_c,max in concrete as 2.8 N/mm². If two legged 10 mm diameter vertical stirrups of Fe250 grade steel are used, then the required spacing (in cm, up to one decimal place) as per limit state method will be _______.

Ques 52 GATE 2018 SET-1

The dimensions of a symmetrical welded I-section are shown in the figure.