The rigid beam rests in the horizontal position on two

Step 1 of 6

The element AB under the force \(P=80 k N\) should be horizontal.It is necessary to determine the value of the value x so that the horizontal is fulfilled. Determination of static effects.

We apply the conditions of  equilibrium

\(\begin{array}{l}
+\rightarrow \sum F_{x}=0 \\
+\uparrow \sum F_{y}=0 \\
+\sum M=0 \\
\sum M_{A}=0 \\
F_{B} \cdot 3-8-\cdot x=0 \\
B_{y}=F_{B}=\frac{20 \cdot x}{3} \ldots .(1) \\
\sum M_{B}=0 \\
F_{A} \cdot 3-80 \cdot(3-x)=0 \\
A_{y}=F_{A}=\frac{80 \cdot(3-x)}{3} \ldots . .(2)
\end{array}\)