A cantilever beam has a length $L=18ft$ and a rectangular cross section $(b=21$ in$.,h=29$ in$.).$

A linearly varying distributed load with peak intensity $q_0$ acts on the beam. $($Solve this problem using available deflection formulas. All beams have constant

flexural rigidity $EI.)$

$($a$)$ Find peak intensity $q_0($in kip$/$ft$)$ if the deflection at joint $B$ is known to be $0\mathrm{.}18in.$ Assume that modulus $E=30,000$ksi.

Your response differs from the correct answer by more than $100\%.$ kip$/$ft

$($b$)$ Find the $x-$location $($in $ft)$ and magnitude of the maximum rotation of the beam $($in radians$).$

$x=$

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. ft

$=$

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. rad