(Solved): Vertical beam AD supports a horizontal load of \( P=120 \mathrm{kN} \) as shown in Figure. Dimensi ...

Vertical beam AD supports a horizontal load of \( P=120 \mathrm{kN} \) as shown in Figure. Dimensions of this structure are \( x_{1}=220 \) \( \mathrm{mm}, \mathrm{x}_{2}=5.78 \mathrm{~m}, \mathrm{y}_{1}=0.85 \mathrm{~m}, \mathrm{y}_{2}=3.15 \mathrm{~m} \), and \( \mathrm{y}_{3}=1.60 \mathrm{~m} \). The beam is a rectangular tube with dimensions of \( b=100 \) \( \mathrm{mm}, \mathrm{d}=180 \mathrm{~mm} \), and \( \mathrm{t}=5 \mathrm{~mm} \). Determine (a) the support reactions at \( A \). (b) the force in member \( B C \).