Physics · Principal Stresses
A body is loaded elastically so that strain in y-direction (εy) = 0 and σz = 0. Take σx and σy as finite. What is the value of strain in z-direction (εz) in terms of stress in x-direction (σx), Young's Modulus (E), and Poisson's ratio (ν)?
- 1εz = -σxν(1 + ν)/E✓
- 2εz = σx(1 + ν)/E
- 3εz = σxν(1 - 4ν)/E
- 4εz = σxν(1 + 2ν)/E
Correct answer
εz = -σxν(1 + ν)/E
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