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Question

An element in plane stress is subjected to stresses $\sigma_x=5750\ \mathrm{psi}, \sigma_y=1100\ \mathrm{psi}$. and $\tau_{x y}=750\ \mathrm{psi}$. Determine the principal stresses and show them on a sketch of a properly oriented element.

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Answered 1 year ago

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1 of 6$\textbf{Given:}\\$ $\bullet$ normal stresses$:$ $\sigma_x=5750\text{ psi}$ and $\sigma_y=1100\text{ psi}$ $\bullet$ shear stress$:$ $\tau_{xy}=750\text{ psi}\\$ $\textbf{Required}:\\$ $\bullet$ principal stresses$:$ $\sigma_1$ and $\theta_{P_1},$ and $\sigma_{2}$ and $\theta_{P_2}$

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