Solid Mechanics (SM) important questionsMost repeated in SPPU papers
These 8 questions appeared in more than one SPPU Solid Mechanics paper we have: 6 papers, from May 2023 to Nov 2025. The most-asked come first. Each one links to the papers it was asked in.
Repeated questions
Endsem questions (8)
- 2×asked
- 2×asked
- 2×asked
A composite shaft consist of copper rod of 20 mm diameter enclosed in a steel tube of 60 mm external diameter and 20 mm thick. The shaft is required to transmit to torque of 1200 Nm. Determine the shear stresses developed in the copper and steel if both the shaft have equal length and welded to a plate at each end so that their twists are equal take modulus of rigidity for steel as twice that copper.
- 2×asked
A hollow shaft with diameter ratio 3/5 is required to transmit 450 kW at 120 rpm with a uniform twisting moment. The shearing stress in the shaft must not exceed 60 N/mm 2 and the twist in a length of 2.5 m must not excced 1°. Calculate the external diameter of the shaft satisfying these conditions.Take the modulus of rigidity is 8 × 10 4 N/mm 2 .
- 2×asked
A rectangular block of material is subjected to a tensile stress of 110 N/mm 2 on one plane and a tensile stress of 60 N/mm 2 on a plane at right angles, together with shear stresses of 70 N/mm 2 on the faces. Find the following terms : i) The magnitude of principal stresses ii) The magnitude of greatest shear stress iii) The location of principle plane iv) The location of plane containing maximum shear stress
- 2×asked
A solid circular shaft is subjected to a bending moment of 45 kNm and a torque of 15 kNm. Design the diameter of the shaft according to : i) Maximum principal stress theory ii) Maximum shear stress theory iii) Maximum strain energy theory Take = 0.25, Stress at elastic limit = 200 MPa and factor of safety is 2.
- 2×asked
An axial pull of 25 kN along with a shear force of 20 kN is applied to a circular bar of 20 mm diameter. The elastic limit of the bar material is 250 MPa and Poisson's ratio, = 0.3. Determine the factor of safety against failure based on : i) Maximum shear stress theory ii) Maximum strain energy therory iii) Maximum principal strain energy theory iv) Maximum shear strain energy theory
- 2×asked
Calculate the critical load for a strut which is made up of a bar circular in section, 1.2 m long and which is hinged at one end and fixed at the other end. The same bar when freely supported at its ends gives the central deflection of 3 mm, when a load of 100 N is placed at its centre. Also find the safe load taking factor of safety is 3. 3
Questions count as repeated when their wording matches closely across papers. Numericals that depend on a figure are left out, since the figure changes from paper to paper.