Problems on Section Properties:

Note: $A,B$ and $C$ are the last $3$ digits of your student number.

Ex$.$ Student Number $2022110962"$C$"=9$; $"$B$"=6$; $"$A$"=2$

$($For Problems $1-2)$

Determine the properties of the combined sections shown below

a$.$ Area

b$.$ Centroid

c$.$ Moment of inertia $($Ix and Iy$)$

d$.$ Section Modulus $($Sx and Sy$)$

e$.$ Radius of gyration $(rx$ and $ry)$

$f.$ Section modulus at an axis of max moment of inertia $(S_{\text{m}\text{a}\text{x}\text{i}})$

g$.$ Radius of gyration at an axis of min moment of inertia $(r_{\text{m}\text{i}\text{n}\text{I}})$

$\backslash$table$[["$B$",$Channel Section,"C$",$Wide Flange Section,"A$",$Angle Section$],[0,$C$15$X$50,0,$W$30$x$99,0,$L$65$x$50$x$8],[1,$C$15$x$40,1,$W$30$x$90,1,$L$65\backslash$times $50\backslash$times $10],[2,C1230,2,W27161,2,$L$757506$