Project ForgeStrength of Materials
Stress & Strain
GATE 2007
Medium
A 200 x 100 x 50 mm steel block is subjected to a hydrostatic pressure of 15 MPa. The Young's modulus and Poisson's ratio of the material are 200 GPa and 0.3 respectively. The change in the volume of the block in mm³ is
- A85
- 90
- C100
- D110
Explanation
Volumetric strain under hydrostatic pressure: ΔV/V=−3p(1−2ν)/E=−3×15×0.4/200000=−0.00009. V=200×100×50=1,000,000 mm³, so ΔV=−90 mm³ (magnitude 90).
Source: GATE ME 2007 (2007)
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