A simple supported rectangular load $225$ by $450mm$ m cross$-$section spans $7\mathrm{.}5m$ supports a UDL Load of $10k\frac{N}{m}$ along of's length and a point load of $5kN$ in its midspan. Design a surtable tensile reinforcement of a beam and check if the deflection limit is satisified.

Assume $(1)$ A cover of $30mm$

$($i$1)$ Diameter is $8mm$

$($iii$)$ Diameter of tensile reinforcement is $20mm$

$($iv$)F_{cu}=30\frac{N}{m^2},Fy=460$