Consider an I$-$beam section with unequal flanges $($Figure $2),$ where $\backslash ($ w$\_\{1\}=10\backslash$mathrm$\{$in$\}.,$ h$=7\mathrm{.}7\backslash$mathrm$\{$in$\}.,$ w$\_\{2\}=4\mathrm{.}5\backslash$mathrm$\{$in$\}.,$ f$=1\backslash$mathrm$\{$in$\}\backslash ).,$ and $\backslash ($ w$=0\mathrm{.}75\backslash$mathrm$\{$in$\}\backslash ).$ The beam is subjected to a moment so that the internal moment on the section is about the $\backslash ($ z $\backslash )-$axis.

$-$ Part A $-$ Locate the centroid

Since the widths of the two flanges are not the same, the centroid is not readily apparent. What is the distance $\backslash (\backslash$bar$\{$y$\}^\{\backslash$prime$\}\backslash )$ from the bottom of the section to the centroid? $($Figure $3)$ Express your answer with appropriate units to three significant figures.

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$\backslash (\backslash$checkmark $\backslash )$ Correct Correct answer is shown. Your answer $5\mathrm{.}947$ in was either rounded differently or used a different number of significant figures than required for this part.

Important: If you use this mportant: If you use this answer in later parts, use the full unrounded value in your calculations.

$-$ 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 $\backslash ($ z $\backslash )-$axis? Express your answer to three significant figures and include the appropriate units.

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$\backslash$rightarrow C

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Incorrect; Try Again; $3$ attempts remaining Review your calculations and make sure you round to $3$ significant figures in the last step

$-$ Part C $-$ Maximum bending stress

Determine the absolute maximum bending stress in the section if it is subjected to an internal moment of $\backslash (570\backslash$mathrm$\{$ft$\}\backslash$cdot $\backslash$mathrm$\{$lb$\}\backslash )$ around the $\backslash ($ z $\backslash )-$axis. Include the sign of the stress in your answer. Express your answer in psi to three significant figures.

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