SITUATION: The wide flange section is used as a composite beam to carry a live load of $6\mathrm{.}54$ kPa.

The beam has adequate shear connectors to prevent sliding of concrete over the steel section. The

beam has a simple span of $8m$ and center to center spacing of $2\mathrm{.}5m.$ Thickness of slab is $100mm.$

Capacity of each shear connector is $50kN.$ Assume modular ratio $=9.$ Weight of concrete $=23\mathrm{.}5$

$k\frac{N}{m^{{?}^{{?}^{?}}}}3.F{c}^{\text{'}}=20\mathrm{.}7$MPa fy $=250$MPa

Properties:

$bf=140mm,d=402mm$

$\{\begin{array}{c}\text{:}A=5884m{m}^{{?}^{{?}^{?}}}2\end{array}$

$Ix=155{10}^{{?}^{{?}^{?}}}6m{m}^{{?}^{{?}^{?}}}4$

Determine the moment of inertia of the composite beam,

$a.433\mathrm{.}51{10}^6$

b$.435\mathrm{.}15{10}^6$

c$.455\mathrm{.}31{10}^6$

d$.447\mathrm{.}5{10}^6$

Determine the maximum flexural stress in the steel in MPa.

a$.141\mathrm{.}54$

b$.132\mathrm{.}17$

c$.201\mathrm{.}18$

d$.156\mathrm{.}80$

Determine the maximum flexural stress in the concrete in MPa.

a$.4\mathrm{.}34$

b$.2\mathrm{.}78$

c$.4\mathrm{.}98$

d$.4\mathrm{.}81$

Determine the total number of shear connectors required.

a$.20$

b$.30$

C$.28$

d$.15$