September 2023

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

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

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

A 0.5 m × 0.5 m square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength Read More »

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

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

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:

The figure shows a simply supported beam PQ of uniform flexural rigidity EI carrying two moments M and 2M Read More »

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude 𝜎𝑥𝑥 = 30 MPa

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude 𝜎𝑥𝑥 = 30 MPa

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

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude 𝜎𝑥𝑥 = 30 MPa Read More »

A cylinder of radius 250 mm and weight, W = 10 kN is rolled up an obstacle of height 50 mm by applying a

A cylinder of radius 250 mm and weight, W = 10 kN is rolled up an obstacle of height 50 mm by applying a

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) 6.0

A cylinder of radius 250 mm and weight, W = 10 kN is rolled up an obstacle of height 50 mm by applying a Read More »

A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end

A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end

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

A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end Read More »

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