A triangular distributed load of max intensity $w$ acts on beam $AB.$ The beam is supported by a pin at A and member $CD,$ which is connected by pins at $C$ and $D$ respectively. Determine the largest load intensity, $w_{\text{m}\text{a}\text{x}},$ that can be applied if the pin at $D$ can support a maximum force of $D_{\text{m}\text{a}\text{x}}=24000N.$ Also determine the reactions at A and $C$ and express each answer in Cartesian components. Assume the masses of both beam $AB$ and member $CD$ are negligible.

Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.

$\backslash$table$[[$Variable$,$Value$],[a,6\mathrm{.}1$ m$],[b,8\mathrm{.}54$ m$],[c,4\mathrm{.}88$ m$]]$