Problem $06\mathrm{.}077-$ Calculate support reactions and forces on the members of a loaded frame

A frame and loading are shown.

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Problem $06\mathrm{.}077-$

Difficulty: Easy Calculate support reactions and forces on the members of a loaded frame

Award: $10\mathrm{.}00$ points

Problem $06\mathrm{.}077.$a $-$ Force on a member of a loaded frame

Determine the force acting on member $\backslash ($ A B C $\backslash )$ at $\backslash ($ B $\backslash ).$ Take $\backslash (\backslash$mathrm$\{$P$\}=280\backslash$mathrm$\{$~N$\}\backslash ),$

The force acting on member $\backslash ($ A B C $\backslash )$ at $\backslash ($ B $\backslash )$ is