A $254146$ US$43$ steel beam is fixed at one end and cantilevered for a distance of $1\mathrm{.}5m.$ The beam supports a UDL of $12k\frac{N}{m}$ and a point load of $10kN$ at its free end. Calculate the maximum deflection ignoring the weight of the beam.

Let:

$E=205000\frac{N}{m}{m}^2$

$I=6544c{m}^4$

deflection ${}_{PL}=P\frac{L^3}{3}EI$

deflection ${}_{\text{U}\text{d}\text{L}}=w\frac{L^4}{8}EI$