Question $3$

$(10$ marks$)$

$($a$)$ The flange and web for section $533210122$ UKB is classified as Class $1$ in accordance with BS EN $1993-1-1.$ Prove that the overall section is Class $1.$ Given $f_y=275$ N$/$mm$^2.$

$(5$ marks$)$

$($b$)$ If the beam section above is restrained in both ends, has an effective length of $6$ m and subjected to design moment of $40$ kNm $,$ calculate the moment bending resistance, $M_{c,Rd}.$

$(5$ marks$)$