MecMovies 4.0 : M5.9: Right-angle Bar with Two Axial Mmembers

Equilibrium equation:

$\sum_{} M_{C} = F_{1} (750 mm) - F_{2} (300 mm) - P (400 mm) = 0$

Compatibility equation:

$\frac{F_{1} L_{1}}{A_{1} E_{1}} \frac{1}{(750 mm)} = - \frac{F_{2} L_{2}}{A_{2} E_{2}} \frac{1}{(300 mm)}_{}$

Solve the compatibility equation for $F_{1}$ :

$F_{1} = - F_{2} \frac{A_{1} E_{1} L_{2} (750 mm)}{A_{2} E_{2} L_{1} (300 mm)}_{}$

$= - F_{2} \frac{(70.0 {mm}^{2}) (200 GPa) (150 mm) (750 mm)}{(625.0 {mm}^{2}) (100 GPa) (600 mm) (300 mm)} = - 0.14 F_{2}_{}$