Consider a twobar structure in the figure with Young's modulus \(E=100 \mathrm{GPa}\), yield stress \(\sigma_{Y}=250 \mathrm{MPa}\), and \(F=10,000 \mathrm{~N}\). Design variables are \(b_{1}=\) area of section \(\mathrm{AB}\) and \(b_{2}=\) area of section BC. Starting from the initial design of \(b_{1}=1 \times 10^{-4} \mathrm{~m}^{2}\) and \(b_{2}=2 \times 10^{-4} \mathrm{~m}^{2}\), perform fully stressed design to obtain minimum cross-sectional areas.

A B C RL 0.25 m F 0.4 m RR