Use virtual work to find the vertical displacement at joint $D$ of the truss shown below. $E=29000$ksi. Cross$-$sectional area of AC and AB is $2i{n}^2$ and all other members are $3i{n}^2.$ Complete the table below to help you find the vertical displacement at joint D$.$

Show your work to receive full credit. $(25$ pts $)$

$\backslash$table$[[$Member$,N_p,N_Q,$Length $($ft$),\backslash$table$[[$Cross$-$sectional$],[$Area $($in $($:${?}^2$