The beam needs to support a uniformly distributed load $($UDL$)$ of $15$ kN$/$m over a span of $5$ meters. The beam's cross$-$sectional dimensions are $0\mathrm{.}4$ meters in height and $0\mathrm{.}3$ meters in width. Calculate the maximum bending moment experienced by the beam and determine the required tensile reinforcement area to ensure structural integrity.