If (sigma_{x x}=90 mathrm{MPa}, sigma_{y y}=-45 mathrm{MPa}, tau_{x y}=30 mathrm{MPa}), and (sigma_{z z}=tau_{x z}=tau_{y z}=0), compute the

Question:

If $\sigma_{x x}=90 \mathrm{MPa}, \sigma_{y y}=-45 \mathrm{MPa}, \tau_{x y}=30 \mathrm{MPa}$, and $\sigma_{z z}=\tau_{x z}=\tau_{y z}=0$, compute the surface traction $\mathbf{T}^{(\mathbf{n})}$ on the plane shown in the figure, which makes an angle of $\theta=40^{\circ}$ with the vertical axis. What are the normal and shear components of stress on this plane?

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