Consider the truss shown in $($Figure $1).$ Assume all members are pin connected. Suppose that P $=7\mathrm{.}6$ k

$.$

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The illustration shows a triangular truss AFK, which is pin supported at A and K to a vertical surface, with the supports being $15$ feet apart. Joint F is the last joint on a slanting upper cord, marked at a distance of $5$ times $9$ feet, equal to $45$ feet, from A$.$ Joints B$,$ C$,$ D$,$ and E are on a horizontal lower cord, while joints J$,$ I, H$,$ and G are on an upper cord, with vertical and diagonal braces between these two pairs of joints dividing the triangular frame into smaller triangles. All the joints are gusset plated. Four equal loads, labeled as P$,$ are exerted downward on joints B$,$ C$,$ D$,$ and E$.$ A fifth load of $3$ kilopounds is exerted downward at joint F$.$ find force members HI$,$ CD$,$ and CH$.$