Question $2[30$ Marks$]$ A precast concrete beam has a cross$-$section as shown in the Figure $1,$ with respect to x$-$x and Y$-$Y axis. $($all dimensions are in millimetres$).2\mathrm{.}1$ Calculate the point of centroid $2\mathrm{.}2$ Calculate the second moment of area about x$-$x$,$I$\_(\backslash$times $)2\mathrm{.}3$ Calculate the second moment of area about y $-$y$,$ lyy $2\mathrm{.}4$ Calculate radius of gyration, r$\_($x$)$ and r$\_($y$)2\mathrm{.}5$ Calculate the elastic section modulus $2\mathrm{.}6$ Calculate the plastic modulus $[2][5]$ Figure $1$