Engineering at Alberta Courses

Problems: Chapter 6

1) Determine the member forces of the trusses shown.

Answer

Truss 1: $AB=0,\quad AC=8.66\sqrt{2}\text{ kN (T)},\quad BC=13.66\text{ kN (C)}$

Truss 2: $AB=0,\quad AC=0,\quad BC=10\text{ kN (C)}$

2) Determine the member forces of the trusses shown.

Answer

$F_{AB}=10\text{ kN (T)}, F_{AD} = 20\text{ kN (C)},F_{BD}=0, F_{BC}=17.3\text{ kN (T)},F_{CD}=20\text{ kN (C)}$

3) Determine the member forces of the truss shown. Hint: some members are zero-force members.

Answer

Zero force members: $BC, AD, BE, CE, AE$ and $DE$ . Non-zero force members: $AB=5\text{ kN (C)}$ and $CD=5\text{ kN (C)}$ .

4) If each member of the truss shown can resist a maximum member force of 5kN, determine the highest magnitude of the point load F that can be applied to the truss. Hint: some members are zero-force members.

$F_{\text max} = 7.68\text {kN}$ .

Answer

5) Find the force in each member.

Answer

$\begin{split}AB&=11.3\text{N (T)}, BC=11.3\text{N (T)},CD=8.79\text{N (T)}\\DE&=8.79\text{N (T)}, AF=23.0\text{N (C)}, FG=22.5\text{N (C)}\\ GH&=22.5\text{N (C)}, HE=12.4\text{N (C)}, FB=0\\ FC&=8.86\text{N (T)}, GC=10.0\text{N (C)}, HC=12.4\text{N (T)}, HD=0\end{split}$