Cross$-$Section A $($Channel Cross$-$Section$)$

The first cross$-$section is what is often referred to as an open 'channel' cross$-$section. The dimensions are

given as:

$b=190mm$

$d=270mm$

$t=10mm$

With reference to the origin shown above, what are the coordinates of the centroid for this cross$-$section:

$\stackrel{}{x}=$

$mm$

$\frac{?}{\text{b}\text{a}\text{r}}(y)=$

$mm$

What is the maximum and minimum second moment of area about axes passing through the centroid:

$I_{\text{m}\text{a}\text{x}}=$

$m{m}^4$

$I_{\text{m}\text{i}\text{n}}=m{m}^4$

Cross$-$Section C $($I$-$Section$)$

The third cross$-$section to consider is the $"$I$-$section" shown below. The dimensions are given as:

$b=190mm$

$d=270mm$

$t=10mm$

With reference to the origin shown above, what are the coordinates of the centroid for this cross$-$section:

$\stackrel{}{x}=,mm$

$\frac{?}{\text{b}\text{a}\text{r}}(y)=|,mm$

What is the maximum and minimum second moment of area about axes passing through the centroid:

$I_{\text{m}\text{a}\text{x}}=$

$m{m}^4$

$I_{\text{m}\text{i}\text{n}}=m{m}^4$

Cross$-$Section B $($T$-$Section$)$

The next cross$-$section to consider is a $"$T$-$section". The dimensions are given as:

$b=190mm$

$d=270mm$

$t=10mm$

With reference to the origin shown above, what are the coordinates of the centroid for this cross$-$section:

$\stackrel{}{x}=$

$mm$

$\frac{?}{\text{b}\text{a}\text{r}}(y)=$

$mm$

What is the maximum and minimum second moment of area about axes passing through the centroid:

$I_{\text{m}\text{a}\text{x}}=m{m}^4$

$I_{\text{m}\text{i}\text{n}}=,m{m}^4$

Cross$-$Section D $($L$-$Section$)$

The final cross$-$section to consider is the $"$L$-$section" shown below. The dimensions are given as:

$b=190mm$

$d=270mm$

$t=10mm$

With reference to the origin shown above, what are the coordinates of the centroid for this cross$-$section:

$\stackrel{}{x}=$

$mm$

$\frac{?}{\text{b}\text{a}\text{r}}(y)=$

$mm$

What is the maximum and minimum second moment of area about axes passing through the centroid:

$I_{\text{m}\text{a}\text{x}}=$

$m{m}^4$

$I_{\text{m}\text{i}\text{n}}=$

$m{m}^4$