# Problem 006-fr | Analysis of Simple Frame

**Problem 006-fr**

In the structure shown in Fig. P-006(FR-H), all members are assumed to be solid rigid members. The system is pinned to the wall at point A and supported by a roller at point E. Calculate the force on member BD and the reactions at A and E.

**Solution 006-fr**

$\Sigma M_A = 0$

$4R_E = 6(120)$

$R_E = 180 \, \text{ kN}$ *answer*

$\Sigma F_H = 0$

$A_H = R_E$

$A_H = 180 \, \text{ kN}$ *answer*

$\Sigma F_V = 0$

$A_V = 120 \, \text{ kN}$ *answer*

$\Sigma M_A = 0$

$3(\frac{2}{\sqrt{13}}F_{BD}) = 6(120)$

$F_{BD} = 432.67 \, \text{ kN}$ *answer*

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