A fixed$-$end beam is subjected to a point load at mid$-$span. The beam has a rectangular cross section $($assume that the $\backslash (\backslash$frac$\{$h$\}\{$b$\}\backslash )$ ratio is $2)$ and is made of wood $(\backslash ($ E$=11\backslash$mathrm$\{$GPa$\}\backslash )).($Solve this problem by integrating the differential equations of the deflection curve. The beam has constant flexural rigidity EI$.)$

$($a$)$ Find height $\backslash ($ h $\backslash )($in mm $)$ of the cross section if the maximum displacement of the beam is $2\mathrm{.}3$ mm $.$

$\backslash (\backslash$checkmark $\backslash$mathrm$\{$mm$\}\backslash )$

$($b$)$ Calculate the displacement of the beam $($in mm $)$ at the inflection points. $($Enter the magnitude.$)$

Your response differs from the correct answer by more than $\backslash (10\backslash \%\backslash ).$ Double check your calculations. mm