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Strength of Materials
Stress & Strain
GATE 2008
Medium

For the same suspended cylindrical container (axial stress 5 MPa, circumferential stress 10 MPa at mid-depth), if the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively, the axial strain in the cylinder wall at mid-depth is

  • 2×10⁻⁵
  • B6×10⁻⁵
  • C7×10⁻⁵
  • D1.2×10⁻⁴

Explanation

For this thin-walled cylinder under biaxial stress (radial stress ≈0), axial strain εa=(σa-ν·σc)/E=(5-0.3×10)/100000=(5-3)/100000=2×10⁻⁵.

Source: GATE ME 2008 (2008)

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