Problems on Section Properties:

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

Student Number $2018100274"$C$"=2$; $"$B$"=7$; $"$A$"=4$

$($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 $($Smaxi$)$

g$.$ Radius of gyration at an axis of min moment of inertia $(rmin{I}^{?}$

$\backslash$table$[["$B$",$Channel Section,"C$",$Wide Flanqe Section,"A$",$Angle Section$],[0,C1550,0,$W$30$x$99,0,$L$65$x$50$x$8],[1,C1540,1,$W$30$x$90,1,$L$65$x$5010],[2,C1230,2,$W$27$x$161,2,$L$75\backslash$times $50$x$6],[3,C1225,3,$W$27$x$146,3,$L$75508$