for the $I-$beam and loading shown, consider $[w=26k\frac{N}{m},D1=124mm,D2=40mm]$

Determine:

The centroid of the cross$-$section $(T$ beam$)[$from the bottom$]$

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

The moment of inertia at $N.A.$

$I_{N.A.}=,m{m}^4$

The maximum first moment of the crosssectional area at point $C$

$Q_c=m{m}^3$

The maximum shear stress in the $T-$beam at point $C$

${}_c=$ MPa

The maximum first moment of the crosssectional area at the critical section $[$where the internal shear force is maximum$]$

$Q_{\text{m}\text{a}\text{x}}=m{m}^3$

The maximum shear stress in the $T-$beam at the critical section

${}_{\text{m}\text{a}\text{x}}=,$MPa