$(26)$ SITUATION: From the figure, two rectangular beams, each having a width of $150mm$ and a depth of $400mm,$ are supported as shown. Beam $BD$ is a cantilever beam while beam $AC$ is simply supported. Given $P=3kN,L1=3m,L2=2m,$ and $E=13\mathrm{.}8$ GPa for both beams. Neglect the weight of the beam.

Simply supported $-$ Concentrated Load P at any point: $=\frac{\text{P}\text{a}\text{b}}{6\text{I}\text{E}\text{I}}(l^2-a^2-b^2)$

Cantilever beam $-$ Concentrated Load $P$ at the free end: $=\frac{P{l}^3}{3EI}$

Determine the reaction at $B,$ in $kN.$

$3\mathrm{.}00$

$2\mathrm{.}37$

$1\mathrm{.}88$

$0\mathrm{.}94$

Determine the deflection at $B,$ in $mm.$

$0\mathrm{.}51$

$0\mathrm{.}00$

$0\mathrm{.}65$

$0\mathrm{.}41$

$(28)$ Determine the maximum bending stress of beam $BD,$ in MPa.

$0\mathrm{.}00$

$0\mathrm{.}47$

$0\mathrm{.}84$

$1\mathrm{.}55$