$($b$)$ Determine minimum flange thickness for the simply$-$supported flanged beam with section as

shown in Figure Q$2($b$)$ to resist moment at C from Figure Q$2($a$).$ Neutral axis extend $100$mm

into web. Assume both steels yielded.

Material properties:

$f_{yk}=500\frac{N}{m}{m}^2$

$E_s=200k\frac{N}{m}{m}^2$

$f_{ck}=30\frac{N}{m}{m}^2$

$C_{\text{n}\text{o}\text{m}}=30mm$

$(15$ marks$)$

$($a$)$

Figure Q$2$