The I$-$Beam shown in Fig. $2$ is subject to the combined action of bending plus shear.

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The section has the following geometry: $b=280mm$;$h=358mm$;$h_w=320mm$;$t_f=19mm$;$t_w=8mm$;$f_y=$

$460\frac{N}{m}{m}^2,$ and ${}_{MO}=1\mathrm{.}0.$ Assume a size of weld fillet of $a=6mm.$

a$.$ Calculate the elastic and the plastic moment resistance of the section.

b$.$ Classify the section assuming it is subjected to bending moment only.

c$.$ Determine the maximum shear force that the section can safely take, with the need to consider moment$-$

shear interaction. What is the design moment resistance of the section $M_{c,Rd}?$