A load $\backslash (\backslash$mathbf$\{$P$\}\backslash )$ is supported as shown by a steel pin that has been inserted in a short wooden member hanging from the ceiling. The ultimate strength of the wood used is $60$ MPa in tension and $7\mathrm{.}5$ MPa in shear, while the ultimate strength of the steel is $145$ MPa in shear. Knowing that $\backslash ($ b$=40\backslash$mathrm$\{$~mm$\},$ c$=55\backslash$mathrm$\{$~mm$\}\backslash ),$ and $\backslash ($ d$=12\backslash$mathrm$\{$~mm$\}\backslash ),$ determine the load $\backslash (\backslash$mathbf$\{$P$\}\backslash )$ if an overall factor of safety of $2\mathrm{.}8$ is desired.