The GATE Grind

GATE Structures: Strength of materials: Strain energy, Castigliano's principles, three-dimensional Hooke's law, plane stress and strain, Euler buckling – Previous Year Questions

12 GATE previous year questions on Strength of materials: Strain energy, Castigliano's principles, three-dimensional Hooke's law, plane stress and strain, Euler buckling (Structures, Aerospace Engineering) with answers and explanations, from every paper.

  1. GATE 2021 AE Q32 (1 mark, Numerical answer) – In a thin-walled closed cylindrical pressure vessel, hoop strain is three times axial strain. Poisson’s ratio is
  2. GATE 2021 AE Q59 (2 marks, Numerical answer) – A rigid horizontal bar ABC, with roller support at A, is pinned to columns BD and CE at B and C. BD is fixed at D, CE pinned at E. BC=100 cm, BD=75…
  3. GATE 2022 AE Q41 (2 marks, Multiple choice) – A horizontal load F is applied at R on the shown two-member truss. Both members are prismatic, have cross-sectional area A 0 and Young’s modulus E.…
  4. GATE 2022 AE Q58 (2 marks, Numerical answer) – A simply supported Aluminium column of length 1 m and rectangular cross- section w× t with t≤w, is subjected to axial compressive loading. Young’s…
  5. GATE 2023 AE Q47 (2 marks, Multiple select) – Which of the following statement(s) about the elastic flexural buckling load of columns is/are correct?
  6. GATE 2026 AE Q16 (1 mark, Multiple choice) – The number of independent elastic constants that a fully anisotropic linear elastic material can have is .
  7. GATE 2025 AE Q26 (1 mark, Multiple choice) – For a homogeneous, isotropic material, the relation between the shear modulus (G), Young's modulus (E), and Poisson's ratio () is .
  8. GATE 2025 AE Q29 (1 mark, Multiple choice) – A uniform symmetric cross-section cantilever beam of length L is subjected to a transverse force P at the free end, as shown in the figure. The…
  9. GATE 2025 AE Q58 (2 marks, Numerical answer) – A prismatic vertical column of cross-section a 0.5a and length l is rigidly fixed at the bottom and free at the top. A compressive force P is applied…
  10. GATE 2024 AE Q13 (1 mark, Multiple choice) – The three-dimensional stress-strain relationship for an isotropic material is given as Bmatrix xx\\ yy\\ zz\\ yz\\ xz\\ xyBmatrix =…
  11. GATE 2024 AE Q25 (1 mark, Multiple select) – Which of the following options is/are correct? (A) The stress-strain graph for a nonlinear elastic material is as shown in the figure [Figure: a curve…
  12. GATE 2024 AE Q32 (1 mark, Numerical answer) – A material has Poisson's ratio = 0.5 and Young's modulus E = 2500 MPa. The percentage change in its volume when subjected to a hydrostatic stress of…