(Solved): Given the beam and the external loading shown below, if L=12m,w1=560N/ ...

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Given the beam and the external loading shown below, if $\mathrm{L}=12\mathrm{m},{\mathrm{w}}_1=560\mathrm{N}/\mathrm{m}$ and ${\mathrm{w}}_2=1,740\mathrm{N}/\mathrm{m}$, calculate: - the magnitude and location of the equivalent resultant force (a single equivalent force, for the whole loading block, NOT two equivalent forces from dividing into rectangular and triangular stress blocks). - the reactions at the beam supports. Resultant force ${\mathrm{F}}_{\mathrm{r}}=$ Location $x_{\text{bar }}=$ Reactions: $\begin{array}{l}{\mathrm{A}}_{\mathrm{y}}=\\ {\mathrm{M}}_{\mathrm{A}}=\end{array}$ (tolerance $1\mathrm{N}$, magnitude only) (tolerance $0.1\mathrm{m}$, measured from $\mathrm{A}$ ) (tolerance $1\mathrm{N}$, observe up positive sign convention) (tolerance $10{\mathrm{N}}^{\ast }\mathrm{m}$, observe anti-clockwise positive sign convention)