Civil Engineering GATE 2020 Set-1 Questions with Answer

Ques 53 Civil

The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of M25 grade concrete and Fe500 grade reinforcing steel. The total cross-sectional area of the tension steel is 942 mm².

Ques 54 Civil

A simply supported prismatic concrete beam of rectangular cross-section, having a span of 8 m, is prestressed with an effective prestressing force of 600 kN. The eccentricity of the prestressing tendon is zero at supports and varies linearly to a value of e at the mid-span. In order to balance an external concentrated load of 12 kN applied at the mid-span, the required value of e (in mm, round off to the nearest integer) of the tendon, is _______.

Ques 55 Civil

Traffic volume count has been collected on a 2-lane road section which needs upgradation due to severe traffic flow condition. Maximum service flow rate per lane is observed as 1280 veh/h at level of service “C”. The Peak Hour Factor is reported as 0.78125. Historical traffic volume count provides Annual Average Daily Traffic as 12270 veh/day. Directional split of the traffic flow is observed to be 60:40. Assuming that traffic stream consists of “All Cars” and all drivers are “Regular Commuters”, the number of extra lane(s) (round off to the next higher integer) to be provided, is _______.

Ques 56 Civil

A vertical retaining wall of 5 m height has to support soil having unit weight of 18 kN/m³, effective cohesion of 12 kN/m², and effective friction angle of 30°. As per Rankine's earth pressure theory and assuming that a tension crack has occurred, the lateral active thrust on the wall per meter length (in kN/m, round off to two decimal places), is _______.

Ques 57 Civil

Water flows in the upward direction in a tank through a 2.5 m thick sand layer as shown in the figure. The void ratio and specific gravity of sand are 0.58 and 2.7, respectively. The sand is fully saturated. Unit weight of water is 10 kN/m³.

Ques 58 Civil

A 10 m thick clay layer is resting over a 3 m thick sand layer and is submerged. A fill of 2 m thick sand with unit weight of 20 kN/m³ is placed above the clay layer to accelerate the rate of consolidation of the clay layer. Coefficient of consolidation of clay is 9 × 10^-2 m²/year and coefficient of volume compressibility of clay is 2.2 × 10^-4 m²/kN. 2 Assume Taylor's relation between time factor and average degree of consolidation.

Ques 59 Civil

Three reservoirs P, Q, and R are interconnected by pipes as shown in the figure (not drawn to the scale). Piezometric head at the junction S of the pipes is 100 m. Assume acceleration due to gravity as 9.81 m/s² and density of water as 1000 kg/m³. The length of the pipe from junction S to the inlet of reservoir R is 180 m.

Ques 60 Civil

In a homogeneous unconfined aquifer of area 3.00 km², the water table was at an elevation of 102.00 m. After a natural recharge of volume 0.90 million cubic meter (Mm³) the water table rose to 103.20 m. After this recharge, groundwater pumping took place and the water table dropped down to 101.20 m. The volume of groundwater pumped after the natural recharge, expressed (in Mm³ and round off to two decimal places), is _______.

Ques 61 Civil

A circular water tank of 2 m diameter has a circular orifice of diameter 0.1 m at the bottom. Water enters the tank steadily at a flow rate of 20 litre/s and escapes through the orifice. The coefficient of discharge of the orifice is 0.8. Consider the acceleration due to gravity as 9.81 m/s² and neglect frictional losses. The height of the water level (in m, round off to two decimal places) in the tank at the steady state, is _______.

Ques 62 Civil

Surface Overflow Rate (SOR) of a primary settling tank (discrete settling) is 20000 litre/m² per day. Kinematic viscosity of water in the tank is 1.01 × 10^-2 cm²/s. Specific gravity of the settling particles is 2.64. Acceleration due to gravity is 9.81 m/s². The minimum diameter (in μm, round off to one decimal place) of the particles that will be removed with 80% efficiency in the tank, is _______.

Ques 63 Civil

A gaseous chemical has a concentration of 41.6 μmol/m³ in air at 1 atm pressure and temperature 293 K. The universal gas constant R is 82.05 × 10^-6 (m³ atm) / (mol K). Assuming that the ideal gas law is valid, the concentration of the gaseous chemical (in ppm, round off to one decimal place), is _______.

Ques 64 Civil

A stream with a flow rate of 5 m³/s is having an ultimate BOD of 30 mg/litre. A wastewater discharge of 0.20 m³/s having BOD₅ of 500 mg/litre joins the stream at a location and instantaneously gets mixed up completely. The cross-sectional area of the stream is 40 m² which remains constant. BOD exertion rate constant is 0.3 per day (logarithm base to e). The BOD (in mg/litre, round off to two decimal places) remaining at 3 km downstream from the mixing location, is _______.

Ques 65 Civil

The lengths and bearings of a traverse PQRS are: