A structural designer is experimenting with non$-$traditional cross$-$sections for beams. On the section shown, the triangular flanges have a width, $b=2\mathrm{.}84in.$ and height, $h=15in.$ The top flange has a width, $w_f=8\mathrm{.}8in.$ and a thickness, $t_f=1\mathrm{.}15in.$ What is the second moment of area around the centroidal $x$ axis, in in ${?}^4?$

Question $6$

$0\mathrm{.}5pts$

A structural designer is experimenting with non$-$traditional cross$-$sections for beams. On the section shown, the dimensions are $r=55mm,h_s=223mm,t_s=26\mathrm{.}6mm,t_f=26\mathrm{.}9mm,$ and $w_f=255mm.$ What is the dimension, ybar, for this shape, in mm$?$