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## Q. 2.1

Determine the forces produced by the applied loads in the members of the sawtooth truss shown in Figure 2.9. ## Verified Solution

The support reactions are calculated, and the directions of the member forces are assumed as indicated.

Resolving forces at node 7:

\begin{aligned} P_{67} &=V_{7} / \sin 30^{\circ} \\ &=20 \text { kips … compression } \\ P_{57} &=V_{7} / \tan 30^{\circ} \\ &=17.32 \text { kips … tension } \end{aligned}

Resolving forces at node 6:

\begin{aligned} P_{46} &=P_{67} \\ &=20 \text { kips … compression } \\ P_{56} &=0 \end{aligned}

Resolving forces at node 5 :

\begin{aligned}P_{45} &=W_{5} / \sin 60^{\circ} \\&=11.55 \text { kips … tension } \\P_{35} &=P_{57}-W_{5} / \tan 60^{\circ} \\&=11.55 \text { kips … tension }\end{aligned}

Resolving forces at node 4 :

\begin{aligned}P_{34} &=P_{45} / \sin 30^{\circ} \\&=5.77 \text { kips … compression } \\P_{24} &=P_{46}-P_{45} \sin 60^{\circ} \\&=10 \text { kips … compression }\end{aligned}

Resolving forces at node 2 :

\begin{aligned}P_{23} &=P_{24} / \cos 49.11^{\circ} \\&=15.28 \text { kips … tension }\end{aligned}

Resolving forces at node 1 :

\begin{aligned}P_{12} &=V_{1} / \sin 60^{\circ} \\&=11.55 \text { kips … compression } \\P_{13} &=V_{1} / \tan 60^{\circ} \\&=5.77 \text { kips … tension }\end{aligned}