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Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of 100 MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young’s modulus E = 200 MPa and Poisson’s ratio ν = 0.3 are given. The principal strains in the plane of the sheet are

1. (0.35, -0.15)
2. (0.5, 0.0)
3. (0.5, -0.15)
4. (0.5, -0.5)

Correct answer: (0.5, -0.15)

Solution

The correct option (0.5, -0.15) represents the principal strains calculated using the relationships derived from the applied stress and material properties, specifically accounting for the effects of Poisson's ratio on the lateral strain due to the uniaxial tensile stress.

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