For the beam cross$-$section shown,

a$)$ Determine the balanced reinforcement area $A_{sb}$ and ratio ${}_b,$

b$)$ Determine ${}_{\text{m}\text{i}\text{n}}$ and ${}_{\text{m}\text{a}\text{x}},$

c$)$ Compare the available $$ to with those above and decide on failure type,

d$)$ Determine the moment capacity $M_r.$ Materials: $C\frac{25}{30},S420,d^{\text{'}}=30mm.$ Tension reinforcement $A_s=522.(30$ points$)$