Consider a stepped beam structure modeled using two beam elements. The crosssections are circular. Use Young's modulus \(E=80 \mathrm{GPa}\), yield stress \(\sigma_{Y}=250 \mathrm{MPa}\), and \(L=1 \mathrm{~m}\). When \(F_{2}=F_{3}=1,000 \mathrm{~N}\), calculate the minimum diameters of two sections so that the beam does not fail with a safety margin of \(100 \mathrm{MPa}\).

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1) X 2) 2 3) -2L- -L- F2 F3