GATE General Engineering: Applied Mechanics – Previous Year Questions
22 GATE previous year questions on Applied Mechanics (General Engineering, Production and Industrial Engineering) with answers and explanations, from every paper.
- GATE 2021 PI Q23 – A 0.3 m cantilever carries UDL C = 10 kN/m over its full length, as shown. Flexural rigidity is 5000 N·m². Neglect self-weight. Find curvature…
- GATE 2021 PI Q24 – A circular rod of length 2 m has flexural rigidity 2000 N·m² and pinned ends, under axial compression P as shown. Find elastic critical buckling load…
- GATE 2021 PI Q25 – Two equal-length steel cylindrical parts are press-fitted as shown. E = 200 GPa, ν = 0.33, radial interference δ = 0.05 mm, interface radius R = 25 mm…
- GATE 2021 PI Q28 – Steel has uniaxial tensile and compressive yield strength 700 MPa. Under pure shear its ordered principal stresses are σ₁ = σ, σ₂ = 0, σ₃ = −σ. Find σ…
- GATE 2021 PI Q60 – A 30 kg smooth rigid sphere rests on two frictionless rigid inclines, left at 60° and right at 30° to horizontal, as shown. Use g = 9.81 m/s². Find…
- GATE 2021 PI Q61 – The shown rigid members AB,BC,CA form an equilateral truss, with pin A and frictionless roller C. A downward 10 kN force acts at B. Neglect member…
- GATE 2022 PI Q14 – An isotropic material has shear modulus G. What is the maximum possible Young’s modulus?
- GATE 2022 PI Q28 – Yield begins at principal stresses 100,100,200 MPa. Find uniaxial yield stress according to von Mises, nearest integer MPa.
- GATE 2022 PI Q40 – In the shown three-member truss, AC = BC. A 10 kN force acts leftward at B parallel to AC. Find member BC force.
- GATE 2022 PI Q46 – A thick cylinder has inner/outer diameters 20/40 mm and internal pressure 100 MPa. Taking tensile stress positive, find radial plus hoop stress at…
- GATE 2023 PI Q24 – A thin cylinder has length L, diameter d, wall thickness t, Young’s modulus E and Poisson ratio μ. Find its change in length under internal pressure…
- GATE 2023 PI Q39 – A massless beam is fixed at one end and supported by a roller at the other. A downward force P acts at its midpoint, as shown. Find the roller…
- GATE 2024 PI Q13 – A uniform Euler–Bernoulli cantilever has length L and flexural rigidity EI. Force F acts at 2L/3 from its fixed end as shown. Find free-end static…
- GATE 2024 PI Q28 – For mild steel under uniaxial tension, which ONE OR MORE statements are true?
- GATE 2024 PI Q33 – In the shown square truss ABCD of side a, diagonal AC is an inextensible string and other members are rigid. Find the maximum F for static equilibrium…
- GATE 2024 PI Q50 – A metal cylindrical air vessel has mean radius 1 m and wall thickness 4 mm. Allowable normal and shear stresses in its cylindrical portion are 100 and…
- GATE 2025 PI Q25 – A simply supported beam AB of span L has an applied moment M at C, distance a from A, as shown. Find the magnitude of reaction at A.
- GATE 2025 PI Q26 – Relate hoop stress σ₁ and longitudinal stress σ₂ in a closed thin cylindrical pressure vessel.
- GATE 2025 PI Q29 – Principal stresses are 300,250,100 MPa. Yielding is just beginning. Find yield strength according to Tresca (integer MPa).
- GATE 2025 PI Q56 – A 1000 N force acts at A of the bracket fixed at B as shown. Find moment magnitude about B (one decimal N·m).
- GATE 2026 PI Q21 – The ratio of hydrostatic stress to volumetric strain is called .
- GATE 2026 PI Q55 – A homogeneous isotropic linear-elastic cylindrical component of diameter 10 mm is under uniform uniaxial tension. A 14 kN force reduces its diameter…