Figure $1$: Truss

Based on the truss system shown in Figure $1$ above:

a$.$ Construct the stiffness matrix $K$ for the laminated veneer lumber $($LVL$)$ truss.

Marks$)$ CLOI:PLO$2$:C$5)($WP$1,$ WK$3)$

b$.$ Calculate the force value in member $1$ and member $5.$ Given displacement values as below:

$D_1=\frac{38\mathrm{.}627}{AE},D_2=\frac{8\mathrm{.}00}{AE},D_3=\frac{9\mathrm{.}656}{AE},D_4=\frac{-9\mathrm{.}656}{AE},D_5=\frac{8\mathrm{.}00}{AE}$