Situation $13-$ A W$1228$ is used as a crane runway girder as shown. The girder is on a simple span of $6$ m $.$ The crane wheel imparts a vertical load of $P=75\mathrm{.}4kN$ and a lateral load of $H=5\mathrm{.}5kN.$ A standard $420\frac{N}{m}$ rail will be used. Use A $36$ steel.

Allowable stresses area $F_{bx}=0\mathrm{.}6F_y$ and $F_{by}=0\mathrm{.}75Fy.$ Properties of W$1228$ :

$S_x=1,277{10}^{3}m{m}^3$ Weight $=850\frac{N}{m}$

$S_y=350{10}^{3}m{m}^3,F_y=248$MPa

Calculate the nearest value to the actual bending $($MPa$)$ stress about the x $-$axis of the beam.

A$.86\mathrm{.}7$

B$.93\mathrm{.}0$

C$.102\mathrm{.}4$

D$.69\mathrm{.}1$

Calculate the nearest value to the actual bending stress $($MPa$)$ about the $y-$axis of the beam.

A$.47\mathrm{.}1$

B$.110\mathrm{.}0$

C$.55\mathrm{.}0$

D$.23\mathrm{.}6$

What is the value of the interaction equation?

A$.0\mathrm{.}925$

B$.0\mathrm{.}965$

C$.0\mathrm{.}905$

D$.0\mathrm{.}879$

Compute the safe maximum length $(m)$ of the girder.

A$.7\mathrm{.}0$

B$.6\mathrm{.}9$

C$.6\mathrm{.}8$

D$.7\mathrm{.}1$