Problem $05\mathrm{.}089.$a $-$ Determine the largest permissible value of w if beam BC is not to be overstressed

Determine the largest permissible value of $\backslash ($ w $\backslash )$ if beam $\backslash ($ B C $\backslash )$ is not to be overstressed. $($Round the final answer to three decimal places. You must provide an answer before moving to the next part.$)$

The largest permissible value of $\backslash ($ w $\backslash )$ if beam $\backslash ($ B C $\backslash )$ is not to be overstressed is

kN$/$m$.$