(Solved): Consider the asymmetric I-Beam where \( a=1.5 \) in, \( b=15 \mathrm{in} \), and \( c=7.5 \mathrm{ ...

Consider the asymmetric I-Beam where \( a=1.5 \) in, \( b=15 \mathrm{in} \), and \( c=7.5 \mathrm{in} \). Determine the moment of inertia of the cross-sectional area shown with respect to the \( x_{o}-y_{o} \) centroidal axes. \[ \begin{array}{ll} I_{x_{o}}= & i n^{4} \\ I_{y_{o}}= & \mathrm{in}^{4} \end{array} \] Correct answer \( I_{y}=478.828125 \mathrm{in}^{4} \)