The GATE Grind

GATE Structures: Strength of materials: stress and strain, stress-strain curves, trusses, bars, beams and shafts, determinate and indeterminate – Previous Year Questions

18 GATE previous year questions on Strength of materials: stress and strain, stress-strain curves, trusses, bars, beams and shafts, determinate and indeterminate (Structures, Aerospace Engineering) with answers and explanations, from every paper.

  1. GATE 2021 AE Q49 (2 marks, Numerical answer) – A beam has deflection v=w48EI(2x4-3Lx3+L3x). The location of maximum deflection, expressed as x/L, is (two decimals)
  2. GATE 2021 AE Q61 (2 marks, Numerical answer) – Cantilever beams AB and DC contact at their free ends through a roller. Both have 50×50 mm square cross sections and E=70 GPa. AB is 400 mm long under…
  3. GATE 2021 AE Q62 (2 marks, Numerical answer) – A 3 m ×1 m signboard is supported by a hollow square pole fixed to the ground. Its outer side is 250 mm, and material yield strength 240 MPa. The sign…
  4. GATE 2022 AE Q20 (1 mark, Multiple choice) – A beam with a symmetrical T-shaped cross-section, as shown in the figure, is subjected to pure bending. The maximum magnitude of the normal stress is…
  5. GATE 2022 AE Q21 (1 mark, Multiple choice) – A three-member truss is simply supported at Q and R, and loaded at P by a horizontal force F as shown. The force in QR is
  6. GATE 2022 AE Q57 (2 marks, Numerical answer) – The tip deflection and tip slope of a tip-loaded cantilever of length L are NL3/(3EI) and NL2/(2EI), where N is tip force. A rectangular cantilever PQ…
  7. GATE 2022 AE Q60 (2 marks, Numerical answer) – A 10 kN axial load acts eccentrically on a square rod of cross section 1 cm ×1 cm. Top and bottom strain gauges 0.5 m from the tip measure 1=0.0016…
  8. GATE 2022 AE Q61 (2 marks, Numerical answer) – For a thin-walled I section, the width of the two flanges as well as the web height are the same, i.e., 2b = 20 mm. Thickness is 0.6 mm. The second…
  9. GATE 2023 AE Q49 (2 marks, Numerical answer) – A rigid bar AB is subjected to a uniformly distributed load of 100 N/m as shown in the figure. The bar is supported by rod CD, with A, C, and D as pin…
  10. GATE 2023 AE Q50 (2 marks, Numerical answer) – A cantilever beam of length 2a is loaded at the tip with force F as shown in the figure. The beam is supported in the middle by a roller with a pin.…
  11. GATE 2026 AE Q40 (2 marks, Multiple choice) – Consider a unit square body as shown in the figure below. The body is subjected to the deformation field u = -ay and v = ax, where 'a' is a constant.…
  12. GATE 2026 AE Q60 (2 marks, Numerical answer) – A stepped cantilever beam, made of a material having Young's modulus E = 200 GPa, is shown in the figure below. The length and the moment of inertia…
  13. GATE 2025 AE Q27 (1 mark, Multiple choice) – A simply supported horizontal beam is subjected to a distributed transverse load varying linearly from q 0 at A to zero at B, as shown in the figure.…
  14. GATE 2025 AE Q30 (1 mark, Multiple choice) – In the given figure, plate ABCD in its undeformed configuration (solid line) is a rhombus with all the internal angles being 90o. The lengths of the…
  15. GATE 2025 AE Q37 (2 marks, Multiple choice) – A 1 m long rod is to be designed to support an axial tensile load P (P weight of the rod). The material for the rod is to be chosen from one of the…
  16. GATE 2025 AE Q55 (2 marks, Numerical answer) – A 1 m long rod of 1 cm 1 cm cross section is subjected to an axial tensile force of 35 kN. The Young's modulus of the material is 70 GPa. The…
  17. GATE 2025 AE Q56 (2 marks, Numerical answer) – For a three-bar truss loaded as shown in the figure, the magnitude of the force in the horizontal member AB is N (answer in integer).
  18. GATE 2024 AE Q53 (2 marks, Numerical answer) – In the figure shown below, the magnitude of internal force in member BC is N (rounded off to 1 decimal place).