Consider an I$-$beam section with unequal flanges, where $w_1=10in.,h=6\mathrm{.}1in.,w_2=3in.,f=0\mathrm{.}75in.,$ and $w=1in.$ The beam is subjected to a moment so that the internal moment on the section is about the $z-$axis.

Part A $-$ Locate the centroid

Part B $-$ Calculate the moment of inertia

Once the position of the centroid is known, the moment of inertia can be calculated. What is the moment of inertia of the section for bending around the $z-$axis?

Express your answer to three significant figures and include the appropriate units.

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$$

$I=$

$i{n}^4$

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Part C $-$ Maximum bending stress

Determine the absolute maximum bending stress in the section if it is subjected to an internal moment of $515ft*lb$ around the $z-$axis. Include the sign of the stress in your answer.

Express your answer in psi to three significant figures.

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${}_{\text{m}\text{a}\text{x}}=$

psi