GTU 2130003 Mechanics of Solids (MOS) Summer 2025 Question Paper & PDF

Assume a concrete block of size 1m width x 1m breadth x 3m height, Locate the distance of a point at which if force is excreted than it will not overturn but starts slide only. Consider unit weight of concrete is 24 kN/m³ and coefficient of friction is 0.5.

The uniform stone in Fig. given below has a mass of 500 kg and is held in the horizontal position using a wedge at B. If the coefficient of static friction is μs = 0.3 at the surfaces of contact, determine the minimum force P needed to remove the wedge. Assume that the stone does not slip at A.

For a square beam of size 50mm x 50mm made up of steel with Young Modulus E = 2x10⁵ MPa for a simply supported beam of 500mm span, calculate maximum UDL it can take with allowable bending stress of 250MPa.

The pipe shown in Figure below has an inner radius of 40 mm and an outer radius of 50 mm. If its end is tightened against the support at A using the torque wrench, determine the shear stress developed in the material at the inner and outer walls along the central portion of the pipe.

Calculate maximum bending stress developed in a circular pipe having Outer Dia 1500mm and thickness of 20mm, if it is filled fully with water and span of 5m and simply supported condition.

The state of stress at a point just before failure of this shaft is shown in Figure. Represent this state of stress in terms of its principal stresses.