Question

4. A magnesium plate in biaxial stress is subjected to tensile stresses \begin{equation} \sigma_x = 30 MPa \end{equation} \begin{equation} \sigma_y = 15 MPa \end{equation} The corresponding strains in the plate are \begin{equation} \epsilon_x = 550 \times 10^{-6} \end{equation} and \begin{equation} \epsilon_y = 100 \times 10^{-6} \end{equation} Determine the Poisson's ratio and the modulus of elasticity for the material.

          4. A magnesium plate in biaxial stress is subjected to tensile stresses \begin{equation*} \sigma_x = 30 MPa \end{equation*} \begin{equation*} \sigma_y = 15 MPa \end{equation*} The corresponding strains in the plate are \begin{equation*} \epsilon_x = 550 \times 10^{-6} \end{equation*} and \begin{equation*} \epsilon_y = 100 \times 10^{-6} \end{equation*} Determine the Poisson's ratio and the modulus of elasticity for the material.

4. A magnesium plate in biaxial stress is subjected to tensile stresses
= 30 MPa

= 15 MPa
The corresponding strains in the plate are
= 550 × 10^-6
and
= 100 × 10^-6
Determine the Poisson's ratio and the modulus of elasticity for the material.

Added by Sherry W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

04/20/2022

Step 1

Poisson's ratio (ν) is defined as the ratio of the lateral strain (εy) to the axial strain (εx) in a material under biaxial stress. It is given by the equation: ν = -εy / εx The modulus of elasticity (E) is a measure of a material's stiffness and is defined as Show more…

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Text: A magnesium plate, in biaxial stress, is subjected to tensile stresses σx = 3 MPa and σy = 15 MPa. The corresponding strains in the plate are εx = 550 x 10^-6 and εy = 100 x 10^-6. Determine the Poisson's ratio and the modulus of elasticity for the material.