Consider an $1-$beam section with unequal flanges $($Figure $2),$ where $w_1=10$ in$.,h=6\mathrm{.}3in,w_2=3$ in$.,f=0\mathrm{.}5in.,$ and $w=0\mathrm{.}75$ in$.$ 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

What is the distance away from the bottom of the section to the centroid?

What is the moment of inertia of the section for bidding around the Z axis?

Determine the absolute maximum bending stress in the section if it is subject to an internal moment of $505$ feet times pound around the Z axis?