The GATE Grind

GATE General Engineering: Theory of Machines and Design – Previous Year Questions

13 GATE previous year questions on Theory of Machines and Design (General Engineering, Production and Industrial Engineering) with answers and explanations, from every paper.

  1. GATE 2021 PI Q30 (1 mark, Numerical answer) – An M30 bolt requires pretension F i = 350 kN. Torque coefficient K = 0.2. Find tightening torque in N·m (integer).
  2. GATE 2021 PI Q31 (1 mark, Numerical answer) – A 150 mm wide polyamide flat belt transmits 15 kW. Driving-pulley pitch diameter is 150 mm and speed 200 rpm. Find tight-side minus slack-side tension…
  3. GATE 2022 PI Q26 (1 mark, Numerical answer) – The shown slider–crank rotates at 60 rpm. Crank radius is 30 mm and connecting-rod length 120 mm. Find average piston speed over one crank revolution…
  4. GATE 2022 PI Q47 (2 marks, Numerical answer) – A solid circular shaft transmits 10 kW at 1440 rpm. Material shear yield stress is 150 MPa and safety factor 2. Find static-strength diameter in mm to…
  5. GATE 2023 PI Q28 (1 mark, Numerical answer) – A solid circular flywheel disk is 0.025 m thick, has density 7800 kg/m³ and central mass moment of inertia 4.36 kg·m². Find its radius in m to two…
  6. GATE 2023 PI Q62 (2 marks, Numerical answer) – A key of width and height 6 mm fixes a gear to a shaft of diameter 20 mm. Power is 10 kW at 600 rpm; allowable key shear stress is 80 N/mm². Neglect…
  7. GATE 2023 PI Q64 (2 marks, Numerical answer) – A spur-gear pair transmits 20 kW at pitch-line velocity 10 m/s. Driving-gear diameter is 0.5 m. Find tangential force between driver and driven gear…
  8. GATE 2024 PI Q34 (1 mark, Numerical answer) – An offset slider–crank is shown, with crank l, connecting rod 3l and offset l. For l = 10 cm, find slider stroke (one decimal cm).
  9. GATE 2024 PI Q51 (2 marks, Numerical answer) – A flat belt on a pulley of radius 20 cm transmits 6.283 kW at 600 rpm, with friction coefficient 0.3. Torque and tightening force F are shown. Find…
  10. GATE 2025 PI Q55 (2 marks, Numerical answer) – A 200 mm link OA rotates counterclockwise at constant angular velocity 100 rad/s. At the shown position it makes 30° with +X. Find absolute X…
  11. GATE 2025 PI Q57 (2 marks, Numerical answer) – A plate is attached to a channel with three identical carbon-steel bolts as shown. Permissible shear yield strength is 400 N/mm². The plate carries 12…
  12. GATE 2026 PI Q20 (1 mark, Multiple choice) – A student connects a shaft to a rotating machine-element hub using a tapered sunk key that prevents relative axial motion. Which key is most likely…
  13. GATE 2026 PI Q56 (2 marks, Numerical answer) – A custom 20-tooth full-depth spur pinion has pressure angle 20°, width b = 10m and transmitted torque 95 N·m. Safe bending stress is 180 MPa and form…