Determine $I_{}$ for the thin$-$walled sections shown in figures below, where the wall thicknesses are $0\mathrm{.}01m.$

Dimensions are in metres. $I_{}=$ second moment of area about a horizontal axis passing through the centroid.

Ans a$)2\mathrm{.}779{10}^{-5}{m}^4.($b$)10\mathrm{.}83{10}^{-6}{m}^4($c$)[$:$5\mathrm{.}334{10}^{-5}{m}^4\}$

$2.$ Determine $I_{}$ for the thin$-$walled sections shown in figure below, which have wall thicknesses of $0\mathrm{.}01m.$ Ans $[($a$)1\mathrm{.}419{10}^{-5}{m}^4.($b$)3\mathrm{.}942{10}^{-5}{m}^4]$

Determine the position of the centroid of the section shown in figure below, namely $y$ Determine also $I_{}$ for this section. Ans $\frac{H}{3}$:$B\frac{H^3}{36}$

Isosceles Triangle