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When a cube is subjected to three mutually perpendicular tensile stresses of equal intensity (s), the volumetric strain is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
When a cube is subjected to three mutually perpendicular tensile stres...
Stress p in x-direction causes tensile strain p/E in x-direction, while the ‘p’ in ‘y’ and ‘z’ direction causes compressive strains μ(p/E) in x-direction.
Therefore, ex = p/E - μ(p/E) - μ(p/E) = p/E x (1- 2μ)
So, ey =p/E x (1- 2μ), ez = p/E x (1- 2μ)
Therefore, Volumetric Strain, ev = ex + ey + ez = 3p/E x (1- 2μ) = 3p/E x (1 – 2/m)
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When a cube is subjected to three mutually perpendicular tensile stresses of equal intensity (s), the volumetric strain isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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