Question

A cast-iron plate in biaxial stress is subjected to tensile stresses $\sigma_{x}=31$ MPa and $\sigma_{y}=17 \mathrm{MPa}$ (see figure) The corresponding strains in the plate are $\varepsilon_{x}=240 \times 10^{-6}$ and $\varepsilon_{y}=85 \times 10^{-6}$ Determine Poisson's ratio $v$ and the modulus of clasticity $E$ for the material.

          A cast-iron plate in biaxial stress is subjected to tensile stresses $\sigma_{x}=31$ MPa and $\sigma_{y}=17 \mathrm{MPa}$ (see figure) The corresponding strains in the plate are $\varepsilon_{x}=240 \times 10^{-6}$ and $\varepsilon_{y}=85 \times 10^{-6}$
Determine Poisson's ratio $v$ and the modulus of clasticity $E$ for the material.

Added by Anna R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

04/20/2022

Step 1

- Tensile stress in the x-direction, $\sigma_x = 31$ MPa - Tensile stress in the y-direction, $\sigma_y = 17$ MPa - Strain in the x-direction, $\varepsilon_x = 240 \times 10^{-6}$ - Strain in the y-direction, $\varepsilon_y = 85 \times 10^{-6}$ Show more…

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A cast-iron plate in biaxial stress is subjected to tensile stresses $\sigma_{x}=31$ MPa and $\sigma_{y}=17 \mathrm{MPa}$ (see figure) The corresponding strains in the plate are $\varepsilon_{x}=240 \times 10^{-6}$ and $\varepsilon_{y}=85 \times 10^{-6}$ Determine Poisson's ratio $v$ and the modulus of clasticity $E$ for the material.