Q. 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 pressure. The ...

Q. A 0.5 m × 0.5 m square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength, cu = 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 ...

Q. 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 (A) 0                           (B) ML/(9EI)               (C) ML/(6EI)              (D) ML/(3EI) Ans: ML/(6EI) Sol:

Q. A plate in equilibrium is subjected to uniform stresses along its edges with magnitude 𝜎𝑥𝑥 = 30 MPa and 𝜎𝑦𝑦 = 50 MPa as shown in the figure The Young’s modulus of the material is 2×1011 N/m2 and the Poisson’s ratio is 0.3. If 𝜎𝑧𝑧 is negligibly small and assumed to be zero, then the ...

Q. 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 (A) 4.5 kN                  (B) 5.0 kN              (C) ...

Q. 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 2.0×1011 N/m2. The maximum bending stress at the fixed end of the cantilever is ...

Q. A city generates 40×106 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 lift of 3 m height and is compacted to a density of 550 kg/m3. If 80% of the landfill is assumed to be MSW, the landfill area ...

Q. For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as C0 = - 0.25 and C1 = 0.55. The value of the third coefficient C2 would be                  Ans: 0.7 Sol: The Muskingum equation can be written as

Q. A 10 m wide rectangular channel carries a discharge of 20 m3/s under critical condition. Using g = 9.81 m/s2, the specific energy (in m, up to two decimal places) is              Ans: 1.10 - 1.20 Sol: Given: Rectangular channel of width (B) = 10 m, Discharge (Q) = 20 m3/s, and g = 9.81 ...

Q. A 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is 1000 m3/s. The corresponding discharge (in m3/s, up to two decimal places) to be maintained in the model, neglecting variation in acceleration due to gravity, is ...