GTU 2130003 Mechanics of Solids (MOS) Summer 2026 Question Paper & PDF

Find the moment of inertia about centroidal axis of I section having web size 300 x 20 mm and flange size 180 x 20 mm.

A steel tube of 2.2 m length is subjected to 40 ͦ C rise in temperature. Determine free natural expansion and stress developed in the tube, if expansion is prevented. Take Es = 200 GPa and αs = 12 x 10⁻⁶ / ͦ C

A mild steel rod of 20 mm dia.,300 mm long is enclosed centrally inside a hollow copper tube of 30 mm external diameter and 25 mm internal diameter. Determine the stresses induced in each material and change in length if the assembly is subjected to an axial compression of 50 kN. Es = 2 Ec & length of both members are same.

Determine change in length of the axially loaded bar as shown in Fig. Take E = 2 x 105 N/mm².

A solid shaft is required to transmit 120 kW power at 200 r.p.m. Find the suitable diameter of shaft if maximum torque transmitted in each revolution exceeds the mean by 20%. Take allowable shear stress as 70 N/ mm² for the material of the shaft.

Two mutually perpendicular planes of an element of material are subjected to direct stresses of 16.5 N/mm² (tensile) and 4.5 N/mm² (compressive) and shear stress of 7 N/mm² . Find magnitude and direction of principal stresses

A beam of T shaped cross section having flange 200 x 10 mm and flange 200 x 10 mm is subjected to bending moment of 20 kN.m. Find the bending stress at the top and bottom of beam.