Exercise $3\mathrm{.}1$

Consider a cantilever beam, as shown in the attached figure. Take $b=h=100mm$ and $t_1=t_2=5mm.$

Assume that the reference coordinate system is at E $.$

Determine the centroid

Calculate the moments of inertia

Using thin$-$wall assumption, determine the sectional properties while keeping the cross$-$section

area of the beam constant, i$.$e$.,$ keep $=1.[20$pts$]$

$=\frac{h}{b},=>,h=b$

$=\frac{t_1}{t_2},=\frac{t_1}{t_2}=1,=>,t_1=\frac{t_2}{}$