GTU 2130003 Mechanics of Solids (MOS) Summer 2024 Question Paper & PDF

A steel rod 35 mm in diameter is inserted inside a copper tube of 40 mm internal diameter and 45 mm external diameter, the ends are rigidly connected together. If temperature of composite assembly is raised by 65°C, What will be the stresses in steel and copper? Take ES = 200 Gpa, EC = 100 Gpa, αS = 12 x 10⁻⁶ per°C, αC = 18 x 10⁻⁶ per°C

Determine moment of inertia about horizontal centroid axis for the section shown in

A uniform ladder, of length 5 m, is supported by a horizontal floor at ‘A’ and a vertical wall at ‘B’ and makes an angle of 60° with the horizontal. Find the maximum distance ‘x’ up the ladder at which a man of weight 700 N can stand without causing slipping of the ladder. The coefficient of friction between floor & ladder and wall & ladder is 0.3. Neglect the weight of ladder.

A weight W is suspended from the ceiling with the help of rope as shown in fig. Find value of weight W.

A tension test was performed on a steel specimen of 16 mm diameter in which an axial load of 2 kN produced an elongation of 0.05 mm in a length of 80 mm, while diameter suffered a compression of 0.0035 mm. Calculate the values of change in volume, Poisson’s ratio, modulus of elasticity and modulus of rigidity.

Determine maximum shear stress in a cantilever beam of length 2 m. the beam carries an udl of 8 kN/m over the entire length of 2 m and a concentrated vertical downward load of 25 kN at the free end of cantilever. The cross-section of the beam is a rectangle of size 350 mm deep and 250 mm wide.

The direct stresses at a point in the strained material are 150 N/mm² compressive and 100 N/mm² tensile as shown in fig. There is no shear stress. Find the normal and tangential stresses on the plane AC. Also find the resultant stress on AC.