A Rectangular Plate in Plane Stress Is Subjected to Normal $\sigma_{x}$

question 59

Short Answer

A rectangular plate in plane stress is subjected to normal stresses $\sigma_{x}$ and $\sigma_{y}$ and shear stress $\tau_{\mathrm{xy}^{+}}$ . Stress $\sigma_{\mathrm{x}}$ is known to be 15 MPa, but $\sigma_{y}$ and $\tau_{x y}$ are unknown. However, the normal stress is known to be 33 MPa at counterclockwise angles of 35° and 75° from the x axis. Based on this, the
Normal stress $\sigma_{y}$ on the element in the figure is approximately: (A) $14 \mathrm{MPa}$
(B) $21 \mathrm{MPa}$
(C) $26 \mathrm{MPa}$
(D) $43 \mathrm{MPa}$

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