For the section, $I_{z^{\text{'}}}=31\mathrm{.}7({10}^{-6})m^4,I_{y^{\text{'}}}=114({10}^{-6})m^4,I_{y^{\text{'}}{z}^{\text{'}}}=-15\mathrm{.}8({10}^{-6})m^4.$ The member's cross$-$sectional area has principal moments of inertia of $I_z=28\mathrm{.}8({10}^{-6})m^4$ and $I_y=117({10}^{-6})m^4,$ calculated about the principal axes of inertia $y$ and $z,$ respectively. $($Figure $1)$

Figure

$1$ of $1$

Part A

If the section is subjected to the moment $M=13kN*m,$ determine the stress at point A using $=-\frac{M_{2}y}{f_2}+\frac{M_1^2}{y_1^2}$

Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension.

${}_A=$