Problem $2($Truss Analysis$)($Due: $11$ am on Sep $13,2024)$

A planar truss made of wood, is subjected to typical wind loading as shown in Fig. P$2($a$).$ Assume that

each member is a solid rectangular section with cross$-$section shown in Fig. P$2($b$).$ Perform all your

calculations using the following units: inches for length, seconds for time, pounds for force, and the

corresponding consistent mass unit.

$($a$)$ Using FBDs and equations of equilibrium, clearly show which members are zero force members.

$($b$)$ Compute the total mass of the truss assuming that all the members have the same cross$-$section.

Assume the mass density of the wood is $1\mathrm{.}15$slu$\frac{g}{f}{t}^3.$ Use self$-$weight of the members in the remainder

of the problem.

$($c$)$ Using the FBD of the system, compute the support reactions.

$($d$)$ Compute the member forces in all the members that meet at joints A$,$ B and H$,$ using Method of

Joints.

$($e$)$ Compute the member force in members CD$,$ CF$,$ and GF using Method of Sections.