Discussion
The maximum force F in kN that can be applied at C such that the axial stress in any of the truss members DOES NOT exceed 100 MPa is
Answer: B
The maximum force is about 11.15 kN.
From the joint equilibrium of the previous question, the member forces are proportional to F:
\[ F_{AC} = 0.897F,\quad F_{BC} = 0.732F \]
AC carries the larger force, so it reaches the limit first. A stress of 100 MPa on 100 mm2 is 10 kN:
\[ \begin{aligned} 0.897F &= 10\ \text{kN} \\ F &= 11.15\ \text{kN} \end{aligned} \]
Designing on member BC instead gives 13.66 kN, which would overstress AC. 8.17, 14.14 and 22.30 kN do not follow from the member forces.
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