The truss shown below was built using W$12$x$40$ A$36$ steel. Assume $k=0\mathrm{.}9$ and use LRFD$.$ Ignore weights

of truss members.

Consider given loadings:

A uniformly distributed service dead load, $uD{L}_{DL}=24k\frac{N}{m}$ will be placed from joint A to $E.$

A moving service live load $p_{LL}=135kN$ that can be placed anywhere along truss joint $($deck level$)$

to create maximum effects.

a$)$ Generate the influence lines of member $BC.$

b$)$ Determine the maximum axial force $($in $kN)$ of member $BC$ given the loading scenario above. $($Ans$.$

$864kN)$

c$)$ Find the design compressive strength $($in $kN)$ of member $BC.$

d$)$ Determine the adequacy ratio$).$