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Chapter 2

Q. 2.2

Determine the forces produced by the applied loads in members 46, 56 and 57 of the sawtooth truss shown in Figure 2.11.

Determine the forces produced by the applied loads in members 46, 56 and 57 of the sawtooth truss shown in Figure 2.11.

Step-by-Step

Verified Solution

The support reactions are calculated and the truss cut at section A-A as shown. The directions of the member forces on the right-hand free body diagram are assumed as indicated in (ii).

Taking moments about node 7 gives the force in member 56 as:

\begin{aligned}P_{56} &=0 / 6.93 \\&=0\end{aligned}

Taking moments about node 5 gives the force in member 46 as:

\begin{aligned}P_{46} &=8 V_{7} / 4 \\&=8 \times 10 / 4 \\&=20 \text { kips … compression }\end{aligned}

Taking moments about node 6 gives the force in member 57 as:

\begin{aligned}P_{57} &=6 V_{7} / 3.46 \\&=6 \times 10 / 3.46 \\&=17.32 \text { kips  … tension }\end{aligned}